ENGINEERING RESEARCH INSTITUTE UNIVERSITY CF MICHIGAN ANN ARBOR PHYSICAL AND THERMODYNAMIC PROPERTIES OF VARIOUS tFREONS" Group Leader J. J. MARTIN Reported By R. D. LONG W. J. SERVICE, JR. Project M777 E. I. duPONT deNEMOURS AND COMPANY WILMINGTON, DELAWARE September, 1951

TABLE OF CONTEINTS Page LIST OF TABLES iii LIST OF FIGURES i NOMENCLATURE v INTRODUCTION vi PHYSICAL AND TEERMODYNAMIC PROPERTIES CF THEE VARIOUS "FPEONS" 1 I. Critical Constants 1 II. Vapor Pressure 5 III. compressibility of Vapors 8 IV. Saturated Vapor and Liquid Densities 40 V. Specific Heat of Vapors at Infinite Volume 79 VI. Specific Heat of Saturated Liquids 88 BIBLIOGRAPHY 107 ii

LIST OF TABLES Tables Pages I Critical Temperatures, Pressures, and Densities of the Various "Freons" 2 II-X Experimental Vapor-Pressure Data Compared to Generalized Vapor-Pressure Equation 9-17 XI-XIX Experimental Isometric Data Compared to Generalized Equations of State 19-39 XX-XXVIII Experimental Saturated Vapor Densities 41-49 XXIX-XXXVII Experimental Saturated Liquid Densities 50-58 XXXVIII-XL Fundamental Infrared Frequencies of the "Freons" 81-83 XLI-LIII Specific Heats of the Vapor Calculated from the 84-96 Fundamental Frequencies 100-102 LIV-LXI Experimental Specific Heats of the Saturated Liquids 103-104 iii

LIST OF FIGURES Figures Pages 1 Plot of Critical Temperature vs. Molecular Weight 3 2 Plot of Critical Pressure vs. Molecular Weight 4 3 Vapor-Pressure (Plot of log PR vs. 1/TR) 6 4 Vapor-Pressure (Plot of Clog PR]/a vs. l/TR) 7 5-22 Compressibility Factor (each isotherm) 59-76 23 Compressibility Factor Chart 77 24 Compressibility Factor of the Saturated Vapor and Liquid 78 25 Specific Heat at Infinite Volume of Vapors, "F-10, 11, 12, 13, and 14" 97 26 Specific Heat at Infinite Volume of Vapors, F-20, 21, 22, and 23" 98 27 Specific Heat at Infinite Volume of Vapors, "F-113, 114, 115, and 116" 99 28 Specific Heat of the Saturated Liquids (plotted against reduced temperature) 105 29 Specific Heat of the Saturated Liquids (plotted against absolute temperature) 106 iv

NOMENCLATURE A, B, C, D, E, constants in vapor-pressure equation Cp specific heat of the liquid at constant pressure, P, in Btu/(lb)(~R) Cs specific heat of the saturated liquid, in Btu/(lb)(~R) 0 Cv specific heat of the vapor at constant volume for case of infinite volume, in Btu/(lb)(OR) d density of the vapor in lbs/cu ft dc critical density in lbs/cu ft dL density of liquid in lbs/cu ft dR reduced density - RTc/VPc log logarithm to the base 10 P pressure in psia Pc critical pressure in psia PR reduced pressure = P/PC R gas constant, 10.73 (cu ft)(lb force)/(sq ino)(lb mol mass)(~R) t temperature, OF T absolute temperature, OR Tc critical temperature TR reduced temperature = T/Tc V volume of gas or liquid -1 w wave number in cm Z compressibility factor, PV/RT

INTRODUCTION During the past twenty years a considerable amount of experimental data has been obtained on the physical and thermodynamic properties of the chlorine- and fluorine-substituted hydrocarbons, known by their trade name as the 'Treons". It is the purpose of this report to collect and correlate all the data on the critical constants, vapor pressures, vapor and liquid densities, and vapor and liquid heat capacities of the "Freons". These properties have been selected because of their importance and use in the calculation of thermodynamic diagrams for the compounds. It is felt that such a compilation and correlation of existing data will be of assistance in determining thermodynamic properties of other compounds, as need may arise in the future. Furthermore, such correlations often serve to reveal significant errors in old data and allow predictions in ranges where no data have been obtained. vi

ENGINEERING RESEARCH INSTITUTE ~ UNIVERSITY OF MICHIGAN PHYSICAL AND 'LRMODYNAMIC PROPERTIES OF VARIOUS 'IONS " I. CRITICAL CONSTANTS The critical constants of the various "Freons" have been tabulated, together with reference as to their source, in Table I. Since the "Freons" considered in this report fall into closely related groups (structurally) it is reasonable to assume that there will exist regularities in their critical constants. Critical Temperature A chart, Fig. 1, shows the relation between critical temperature and the molecular weight. The data form straight lines except for the completely fluorinated "Freons", "F-23, 14i, and 116". Since the lines are almost parallel, data on one compound of a new series such as the bromofluoromethanes would suffice to give estimations of critical temperature for the rest of the series. Critical Pressure In a similar manner, the critical pressures are plotted vs. molecular weight in Fig. 2. These values correlate fairly well but not quite as well as the critical temperatures. This may be due in part to the fact that the experimental determinations of critical pressures are more:Ubject to error. In regard to new compounds, the same possibility of prediction exists as for critical temperature. Fig. 2 might suggest also that the critical pressure of both 't-11 and 113" are 5-10 pounds high. The critical

Table I Critical Constants of the Various "Freons" Compound Molecular Wt, T ft3 Reference "Freon-lO" (CC14) 153.838 1001.3 662 34.82 (*) "Freon-1l" (CC19,) 137.37 848.1 635.0 34.57 (9) "Freon-12" (CC12F2) 120.924 692.4 595 34.63 (5, this report) "Freon-13" (CC1F3) 104.457 543.63 561.3 36.08 (1) "Freon-14" (CF4) 88.010 409.8 529 39.56 (5,*) "Fre n-20" (CHC1i) 119,389 965.1 --- 32.20 (*) "Freon-21" (CHCl'F) 102.92 813.0 749.7 32.57 (9) 'Freon-22" (CHC1F2) 86.46 664.5 735.0 32.76 (9, this report) 'Freon-23" (CBF3) 70.018 551.1 691 32.20 (49) "Freon-112" (CCI2F -CCl2F) 203.848 992.1 500 34.3 (13,33) "Freon-113" (CCIF2-CC12F) 187.37 877.1 495.4 35.94 (9) YIrreon-1141" (CC1F2-CC1F2) 170.91 754.0 471.9 36.32 (9) 'Freon-115" (CC1F2-CF3) 154.477 635.59 453 37.21 "Freon-116" (CF3-CF3) 138.02 527.2 439.5(est.) 39.4 (41,53, this report) (*) Interuational Critical Tables

105 -1000 -_- 20 ~~~~~~~~~~~~112 20 900 113 800 — ___Tc(R~~~~~~~ - - ____ ~~~~~~~~~~114 _ _ _ _ _ _ 700-1 22TFIG.-- ___ ___ -- - CRITICAL TEMPERATURE OF FREONS VS MOLECULAR 600 WEIGHT 0 EXPERIMENTALLY -3 - -- - DETERMINED CRITICAL TEMPER13 116 ATURES. 500 14 400 350 70 90 110 130 150 170 190 210 -3 MOLEOULAR WEIGHT

1000 iOOr - i I i i 1 1 i FIG.2 sooL - I I I CRITICAL PRESSURE OF FREONS VS MOLECULAR -- - - ___ -WEIGHT 0 EXPERIMENTALLY BoG-800 I tt < 1S - tDETERMINED CRITICAL TEMPER700 ___.__ ___ _ 12 / 0~~31 ~/ 113 112 400 70 0 110 15 170 190 210 230 116OLEULAR WEIHT 300. 50 70 90 I 10 130 150 170 190 210 230 iOLEPULAR WEIOHT

ENGINEERING RESEARCH INSTITUTE * UNIVERSITY OF MICHIGAN pressure of "F-20" could not be found. The critical pressure of "F-22"t was estimated from the vapor pressure data of several investigators (6,14). Critical Density Critical densities are tabulated in Table I; they have not been correlated graphically. It will be noted that the average critical density is about 35 lb/ cu ft. The critical density of "F-116" was predicted by the rectilinear-diameter method from the data of Pace and Aston. (41) II. VAPOR PRESSURE It is a well-accepted fact that vapor pressures can be best represented by a log P-vs.-l/T plot on which they roughly tend to form straight lines. This means, of course, that the vapor pressures can be represented approximately by an equation of the form, log P = A + B/T. It is found, however, that precise plotting of the data on the coordinates mentioned above results in a definite S curve, which can be observed in Fig. 3. Analytically this deviation from a straight line requires correction terms in the simplified equation for the straight line. Several types of equations have been proposed, but it seems likely that the ability of the equation to fit the data and yield accurate temperature derivatives depends principally on the number of constants or correction terms used rather than on the particular form. In the present report an equation of the form, log P = A/T2 + B/T + C + DT + ET2 has been used. It is felt that this equation is capable of representing the vapor-pressure data within the experimental error for any of the "Freons". The vapor pressures of the various "Fre6ns" can be compared by plotting the data on the reduced coordinates of log PR vs. 1/TR. The regularity observed in Fig. 3 suggests the possibility of representing the vapor pressures by a reduced equation in a manner similar to that often used in correlating PVT data (see Part III of this report). It is seen that within limits the "Freons" fall approximately into three distinct groups, as represented by the three curves. The shape of the curves are similar except for slope. For each curve a reduced equation, log PR = ~ (TR), may be written. The slope, d(log PR) /d(l/TR), can be varied by dividing log PR by a parameter characteristic of the compound. A more general reduced vapor-pressure equation was determined by plotting (log PR) / a, where a is the parameters vs. 1/TR and writing an equation for the single line which results (Fig. 4). Here approximate values for each group are as follows:

QO -0.2 FIG. 3 -0k4 REDUCED VAPOR PRESSURES OF FREONS ~~~~~~-0.6 ____ ~~~~log PRVS I/TR 0 FREON II ~ FREON 12 0 FREON 13 -a8 e FREON 21; FREON 22 0 FREON 113 -1.0 Q FREON 114 @ FREON 115 -1.4 -1.6 log10 TR -2.2 -2. -2.8 -3.0 -32 -3.4 -36 -4.0 - i _'_ 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2 0 2.1 2.2 23 I/TR Tc/T

0.0 -0.2 1 I | I I I I FIG. 4 ___ ___ REDUCED VAPOR PRESSURES -0.4 OF FREONS E FREON 12 a 10.935 -0.8 a__ ___ ___ ___ CR FREON 13 -0.2FREON 21 a.959 6 FREON 2 0 FREON 113 0 FREON 114 1 1.000 0 FREON 11 -1.2 -1.6 1.8 - 2.0 -2.2 -2.4 -2.6 - 3.0 1.0 1.1 12 1.3 04 1 1.6 1.7 1.8 19 0o 21 22 23

ENGINEERING RESEARCH INSTITUTE ~ UNIVERSITY OF MICHIGAN Approximate a for "Freon-ll, 12, and 13" = 0.935 a " "Freon-21, and 22" = 0.959 a " t?"reon-113, 114, 115, and 116" = 1.000 The resulting equation is: log PR -0.14163/T - 3.06037/T + 4.615211 a -2.50238TR + l.08917T For the best representation of the data, it was found that slightly different values of a must be chosen for each compound in a given group. With the following values of the parameter a so selected, and with the respective critical temperatures and pressures, individual equations were obtained from the generalized equation above. These individual equations are compared with experimental data in Tables II through X. a for '"Freon-ll" = 0.935 a " -12" = 0.934 a tt -13" = 0.927 a for 'Freon-21" = 0.959 a " -22" t 0.976 a for "Freon-113" = 1.000 a " -114" = 1.o000oo a " -115" = 0.996 a " -116" = 0.993 III. CCPRESSIBILITY OF VAPNRS The PVT data of vapors were treated by plotting the compressibility factor, Z=PV/RT versus reduced pressure at certain reduced temperatures (Fig. 5 through 22). It can be seen from the compressibility plots that all the "Freons" considered seem to fall approximately on single reduced-temperature lines below the critical temperature. Above the critical temperature three different lines can be drawn for each isotherm. One line represents the data of "F-ll, 12, and 13" another "F-21 and 22," and a third represents the data of "F-113, 114, 115, and 116", Three different reduced equations of state Z = 0 (PR, TR) have been written for these three groups.

TABLE II THE VAPCR PRESSURE (F "-11" log0 P =- T 2 -26T792- + 7.11799 -0.00275878T + 0.05141581T2 ExIerimental Calculati on Per Cent Experimental Psia Psia Deviation Investigator 421,81 0.8303 0.8272 +0.4 (11) 438.32 1.3667 1.4074 -2.9 (6) 479.45 4.354 4.413 -1.3 (11) 491.65 5.830 5,940 -1.9 (11) 491.71 5.837 5.949 -1.9 (6) 517.07 10.293 10.482 -1.8 (11) 534.92 14.828 15.058 -1.5 (6) 601.76 47.19 47.28 -0.2 (6) 606.35 50.47 50.63 -0.3 (11) 707.00 178.12 178.71 -0.3 (6) 816.89 494.8 496.2 -0.3 (6) 843.86 619.9 614.6 +0.9 (6) 848.1 635.0

TABLE III TBE VAPOR PRESSURE OF T"-12" log P = - 6419 _ 1979.14 + 7.08513 - 0.02337554T + 0.0212192 T2 T T, 1R Experimental Calculation Per Cent Experimental Psia Psia Deviation Investigator 310.61 0.16227 0.16302 -0.5 This report 350.84 1.0202 1.0131 +0.7 491.58 44.75 44.670 +0.2 688.09 573.15 571.31 +0.3 692.4 595 10

TABLE IV TEE VAPCR PRESSURE CF "F-13" log P = _ 38801.2 1 542.28 + 7.02750 -0.00426707T + O. 05341640T2 T,"R Experimental Calculation Per Cent Experimental Psia Psia Deviation Investigator 261.50 0.4797 0.47876 +0.2 (1) 310.84 4.674 4.6565 +0.4 (1) 344.92 14.623 14.610 +0.1 (1) 387.50 44.38 44.522 -0.3 (1) 444.47 137.44 137.90 -0.3 (1) 491.69 285.9 287.22 -0.5 (1) 540.06 537.9 537.92 O.C (1) 543.63 561.3 ll

TABLE V TEE VAPOR PRESSURE OF '"F-21'" log:Ps _ 89P77i5.5- _ 2386.069 + 7.30088 - 0.02295176T + 0.05158028T2 T T T,~R Experimental Calculation Per Cent Experimental Psia Psia Deviation Investitor 418.61 1.3079 1.3485 -3.0 (10) 438.32 2.4704 2.5103 -1.6 (6) 455.o8 4.030 4.0568 -0.7 (10) 473.65 6.612 6.5996 +0.2 (10) 475.92 7.003 6.9833 +0.3 (6) 507.74 14.696 14.518 +1.2 (10) 545.33 31.01 30.466 +1.8 (8) 570.76 48.20 47.298 +1.9 (6) 573.05 50.06 49.104 +1.9 (8) 599.87 75.88 74.429 +1.9 (8) 640.82 132.90 130.68 +1.7 (6) 644.33 138.97 136.65 +1.7 (8) 671.87 193.69 190.88 +1.5 (8) 742.03 402.1 400oo00.oo +0.5 (6) 805.97 703.1 707.44 -0.6 (6) 813.00 749.7 12

TABLE-M VI THE VAPOR PRESSURE OF 'F-22tt log P 61=037.7 1984.809 + 7.37074 - 0.0 ~~log61,M7. T2 T- +7 3 774 0.0 2367543T + 0.05240744T2 T,~zR Experimental Calculation Per Cent Experimental Psia Psia Deviation Investigator 381.43 5.0936 4.9652 +2.6 (6) 418.50 14.793 14.556 +1.6 (6) 482.69 61.679 60.759 +1.5 (6) 532.37 138.00 142.15 -2.9 (14) 536.96 152.40 152.49 -0.1 (6) 563.87 218.53 224.79 -2.8 (14) 582.23 285.98 286.98 -0.3 (14) 600.23 353.88 359.59 -1.6 (14) 620.39 449.99 456.29 -1.4 (14) 628.31 488.94 499.17 -2.0 (6) 645.41 576.52 602.02 -4.2 (14) 658.37 674.84 690,37 -2.2 (6) 664.5 13

TABLE VII tTEE VAPOR PRESSURE CF "'-113" 108957.4 2684.251 + 7.31017 - 0.02285302T + 0.0o141579T2 logP =- 5 T, ~R Experimental Calculation Per Cent Experimental Psia Fsia Deviation Investigator 476.57 1.4623 1.4445 +1.2 (6) 491.69 2o1133 2.1864 -3.3 (29) 527.69 5.2700 5.2579 +0.2 (29) 528.03 5.3141 5.2981 +0.3 (6) 563.69 11.373 11.142 +2.1 (29) 577.31 14.696 14.403 +2.0 (6) 641.63 42.486 41.144 +3*. (6) 723.35 118.86 116.98 +1.6 (6) 870.80 473.80 471.13 +0o.6 (6) 14

TABLE VIII THE VAPOR PRESSURE OF "F-114"1 log = 80519.5 _ 2307.519 + 7.28906 - 0.00331881T + 0.05191581T2 T T T, ~R Experimental Calculation Per Cent Experimental Psia Psia Deviation Investigator 419.69 1.8752 1.8983 -1.2 (56) 454.59 5.2083 5.1356 +1.4 (6) 455.69 5.2215 5.2842 -1.2 (56) 495.14 13.786 13.388 +3.0 (16) 498.89 14.505 14.499 0.0 56 531o99 28.437 27.775 +2.4 (16 561.89 47.306 46.491 +1.8 (16) 563083 49.584 47.973 +3.4 (6) 602.50 86.530 85.745 +0.9 (16) 640.87 144.86 142.01 +2.0 (6) 641.12 142.07 142.45 +0.3 (16) 694.53 256.74 262.33 -2.1 (16) 743.65 430.89 428.49 +0o.6 (6) 754.0 471.9 15

TABLE IX THE VAPOR PRESSURE OF "F-115" log P = 56986.4 1937.360 + 7.25285 -0.02392135T+0. 05268535T T T Experimental Calculation Per Cent Experimental Psia Psia Deviation Investigator 324.16 o.55066 0.55593 -0.9 (34) 345.99 1.3802 1.3869 -0.5 (34) 412.90 11.682 11.620 +0.5 (34) 455.90 31.645 31.589 +0.2 (34) 470.35 42.335 42.263 +0.2 (34) 522.61 106.02 104.94 +1.0 (34) 547.03 152.37 151.11 +o.8 (34) 572.97 216.15 215.17 +0.5 (34) 600.26 302.86 302.62 +0.1 (34) 628.52 419.86 419.11 +0.2 (34) 632.18 436.09 436.41 -0.1 (34) 635.59 453. 16

TABLE X TRE VAPOR PRESSURE IF "F-116" logP 39089.3 1602.133 + 7.22586 -0.02471332T + 0.05389129T2 T T T, ~R Experimental Calculation Per Cent Experimental Psia Psia Deviation Investi~ator 323.93 6.1081 6.1509 -0.7 (41) 324.40 6.2113 6.2539 -0.7 (41) 338.94 10.1786 10.191 -0.1 (41) 342.09 11.2561 11.258 -0.0 (41) 350.77 14.6929 14.662 +0.2 (41) 350.82 14.7167 14.683 +0.2 (41) 351.18 14.8753 14.840 +0.2 (41) 351.38 14.9635 14.928 +0.2 (41) 527.2 439.5 17

ENGINEERING RESEARCH INSTITUTE * UNIVERSITY OF MICHIGAN For example, the ethane derivatives, "'-113, 114, 115, and 116", are sufficiently similar that a single reduced equation of state has been written for them. Using this reduced equation, an equation of state may be determined for such compounds as "F-114" and "?-116", where very little data have been taken.These reduced equations are applicable up to the critical density. In tables XI through XIX the PVT data of the various "Freoms" are compared with equations of state determined by substituting the critical temperature and pressure into the proper reduced equations of state. The reduced equations of state are given here for each of the three groups of '"reons". For a discussion of the procedure for obtaining these equations, the reader is referred to Reference 34. Reduced equation of state for "Freons- 21 and 22" 2 3 14. PR =-0-7387634R + 0.093512d - 0.o6l28d TR(d.R + 0.396986d - 0.044952d% + 0.0035423d) -1/TR (0.007564d - 0.0005721d ) Reduced equation of state for "Freons-113, 114, 115 and 116" P = - 0o.74153d2 + o.06912d3 -0.0004279dR 2 3 '4. TR ( d 0.39644dR 0 0.01799d -0.00261480%) -l/T3(0.007564d -.0005721d4.) Reduced equation of state for "Freons-ll, 12, and 13" PR-= 0.735995di + 0.117905d - 0.0118294 T (d + - 397533d - 0.071915d3 + o.oo699 ) -1o.(0007564d - 0.00057214 R 8 ___ ___ ___ ___ ___ ___ ___ ___ ___ 18_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _

TABLE XI CCOPARISON aF AN EQUATION OF STATE* WITH EXERIMETALLY DETERMINED PVT DATA FOR 'FREON-11" *p = 5.08716 + 0.085031 0.0008901 + T r.7811 + 0.00323986 v2 3 4 L V V2 ere P psia, V is ft3/lb, a T is ( + 4597) Where P is t3b.Pres, Pand T is R(rF + 1459.7) Density Temperature Obs. Pres. Calc. Pres. Per Cent Experimental lb/ft3 OR Psia Psia Difference Investigator 6.814 757.92 286.7 289.7 -1.0 (7) 771.78 297.6 299,1 -0.5 787.08 309.1 309.4 -0.1 5.557 740.46 240.0 242.6 -1.1 (7) 771.78 258.5 259.3 -0.3 800.58 275.4 274.6 +0.3 834.60 293.3 292.7 +0.2 858.00 306.6 305.1 +0.5 4.631 724.98 203.4 205.7 -1.1 (7) 770.34 224.7 225.3 -0.2 822.18 248.1 247.6 +0.2 858.18 264.1 263.0 +o.4 3.826 713.64 172.09 173.62 -0.9 (7) 774.30 194.58 194.70 -0.1 3.489 699.78 156.51 157.02 -0.3 (7) 737.94 168.56 169.oo -0.3 777.54 181.94 181.40 +0.3 822.18 195.75 195.34 +0.2 1.9175 650.82 85.68 86.42 -0.9 (7) 714.18 96.38 96.74 -0.4 777-90 107.08 107.09 0.0 812.46 112.87 112.69 +0.2 1.1620 613.38 51.19 51.37 -0.4 (7) 678.90 57.89 57.65 +0.4 744.60 63.99 63.93 +0.1 812.46 70.58 70.40 +0.3 0o.8278 599.70 36.59 36.55 +0.1 (11) 0.6492 573.24 27.61 27.65 -0.1 (11) 19

TABLE XI ( Cont.) Density Temperature Obs. Pres. Calc. Pres. Per Cent Experimental b/ft ~R Psia Ps la Difference Investigator o. 6404 572.70 27.14 27.27 -0.5 (11) o.6059 572.70 25.84 25.87 -0.1 (11) 0.5743 599.88 25.92 25.83 +0.3 (11) 0.3601 545.52 14.889 14.890 0.0 (11) 0.3409 572.34 14.889 14.846 +0.3 (11) 0.3239 599.70 14.889 14.829 +o.4 (11) 20

TABLE XII COMPARISON OF AN EQUATION COF STATE* WITH EXPERIMENTALLY DETEPRMINED PVT DATA FOR '"FEON-12" *iEquation is P = - 4.67204 - +.0077Q07 v2 V3 V4 + T C08876 + 0.00644 _ 0.0000ooo681 v v2 V3 0.0000009+9~ 1 13 18 + O0011- J, U92E V4 T3 v2 lg7gg4ooo12764 where P is psia, V is ft3/lb, and T is ~R ('F + 459.7) Density Temperature Obs. Pres. Calc. Pres. Per Cent Experimental lb/ftI3 ~R Psia Psia Difference Investigator 34.72 698.08 613.8 628.8 +2.5 This report 732.64 829.7 836.8 +0.9 766.30 1042.0 1038.8 -0.3 796.45 1226.0 1219.9 -0.5 820.17 1371.1 1362.4 -0.6 34.64 706.97 684 682.0 -0.3 (7) 767.13 1027 1042.3 +1.5 807.81 1284 1285.9 +0.1 835.o6 1453 1449.1 -0.3 846.47 1522 1517.4 -0.3 34.38 694.89 600.3 609.3 +1.5 This report 699.08 638.3 634.1 -0.7 730.40 810.1 819.8 +1.2 770.47 1058.5 1057.3 -0.1 797.89 1225.9 1219.7 -0.5 32.46 670.09 467.3 472.5 +1.1 This report 672.73 480.3 486.9 +1..4 676.75 500.3 509.0 +1.7 697.55 608.2 622.9 +2.4 734.80 823.2 826.8 +0.4 769.97 1022.7 1019.2 -0.3 806.15 1226.5 1216.8 -0.8 847.10 1450.5 1440.5 -0.7 32.41 697.0 612,1 619.8 +1.3 This report 709.9 684.7 690.3 +0o.8 738.2 841.2 844.8 +0.4 781.9 1085.6 1083.2 -0.2 818.7 1288.7 1283.8 -0.4 852.1 1477.1 1465.8 -0.8 31.73 695.4 616.5 610.8 -0.9 This report 21

TABLE XII (Cont.) Density Temperature Obs. Pres. Calc. Pres. Per Cent Experimental lb/ft 0R Psia Psia Difference Investigator 721.5 750.2 749.4 -0.1 This report 736.1 829.3 826.8 -0.3 756.9 942.4 937.0 -o.6 772.7 1026.5 1020.7 -0.6 794.7 1146.9 1137.2 -0.8 818.7 1280.4 1264.2 -1.3 20.27 709.8 630 627.9 -0.3 This report 737.2 720 708.3 -1.6 757.8 781 768.7 -1.6 775.6 833 82 0.9 -1.5 794.1 885 875.0 -1.1 14.06 676.91 470.3 480.9 +2.2 This report 692.87 512.3 510.5 +0.4 750.97 612.5 617.7 +0.9 779.58 681.1 670.4 -1.6 805.4 716.3 717.8 +0.2 11.936 663.46 416 426.0 +2.4 (7) 704.09 477 487.8 +2.3 745.45 535 549.6 +2.7 786.53 600 611.2 +1.9 828.29 657 673.6 +2.5 869.83 715 735.7 +2.9 10.75 682.43 424.0 429.7 +1.3 This report 745.62 511.1 513.3 +0.4 814.12 601.5 603 5 +0.3 843.48 639.9 642.1 +0.3 6.537 624.22 264.1 266.3 +0.8 This report 627.88 266.1 268,9 +1.1 659.14 298.2 291.8 -2.2 696.65 312.4 319.1 +2.1 735.75 344.7 347.5 +0.8 5.293 608.9 219.8 220.5 +0.3 (16) 635.0 236.7 235.4 -o.4 659.8 251.2 249.6 -0.7 680o.o0 262.8 261.1 -0.7 699.8 273.9 272.3 -0.6 5.187 600.14 211.6 212.46 +0.4 (7) 628.13 227.3 228.10 +0.4 655.0 243.3 243.07 -0.1 683.07 256.5 258.68 +0.9 707.89 273.3 272.41 -0.3 734.87 288,9 287.41 -0.5 766.82 304 22 305.10 +0.4

TABLE XII (Cont.) Density Temperature Obs. Pres. Calc. Pres. Per Cent Experimental lb/ft3 m Psia Psia Difference Investigator 4.756 612.7 204.8 205.63 -+0.4 (16) 614.6 205.7 206.59 +0.4 641.6 220.2 220.21 0.0 669.7 235.2 234.36 -0.4 688.8 245.3 243.96 -0.5 4.528 595.7 188.5 189.93 +0.8 (16) 625.1 203.7 203.97 +0.1 639.8 210.5 210.98 +0,2 654.8 218.4 218.12 -0.1 678.0 229.5 229.15 -0.2 700,3 240.6 239.75 -0.4 718.7 249.8 248,48 -0.5 3.770 590.7 164.8 162.71 -1.8 (16) 671.7 197.6 194.08 -1.3 3.337 588.9 149.2 146.81 -1.6 (16) 671.7 177.7 174.78 -1.6 3.170 570.86 132.8 134.91 +1.6 This report 609.76 145.8 147.36 +1.1 663.49 162.8 164.49 +1.0 717.42 180.3 181.64 +0.7 764.014 195.3 196.44 +o.6 3.00 558.25 122.5 125.18 +2.2 This report 572.52 127.2 129.48 +1.8 622.06 142.0 144.38 +1.7 673.50 158.1 159.81 +1.1 715.98 169.9 172.52 +1.5 766.92 185.4 187.74 +1.3 2.891 566.45 121.8 123.81 +1.6 This report 577,.69 124.9 127.07 +1.7 616.28 136.4 138.21 +1.3 658.20 148.5 150.28 +1.2 735.20 170.5 172.40 +1.1 2.821 587.1 129.2 127.10 -1.6 (16) 669.9 153.6 150.32 -2.1 2.361 587.1 110.3 108.96 -1.2 (16) 669.9 130o2 128.06 -1.6 23

TABLE XII (Cont.) Density Temperature Obs. Pres. Calc. Pres. Per Cent Experimental lb/ft3 __ Psia Psia Difference Investigator 1.804 545.7 79.5 78.56 -1.1 (16) 552.9 80.9 79.81 -1.2 588.9 87.5 86.0C -1.7 669.9 102.2 100.02 -2.1 241

TABLE XIII C CMPARISON OF AN EQUATION aF STATE* WT EXPERIMEETAILY DETEBRMIED PVT DATA FOR "'FTEON - 13" *Equat ion is p _ 4.08722 + 0.065127 _ 0. 006499 + T 27 + 0.oo00406092 _ 0.0,73072 +. 83 1/T 74ooo - V2 `tjv3 v4 Lv V4 where P is psia,V is ft3/lb, and T is *R (OF + 459.7) Density Temperature Observed Calculated Per Cent Experimental lb/ft3 ~R Psia Psia Difference Investigator 44.45 543.63 562.2 582.o -3.4 (1) 579.16 904.0 930.4 -2.8 614.62 1262.2 1279.5 -1.4 652.01 1651.7 1648.9 +0.2 689.05 2037.3 2015.7 +1.1 35.90 543.70 561: 561.5 0.0 (1) 546.22 57g 0 579.6 -0.3 581.34 830.6 831.7 -0.1 616.91 1088.8 1086.9 +0.2 652.96 1352.9 1345.5 +0.5 689.29 1620.3 1606.1 +0.9 724.57 1881.5 1859.1 +1.2 28.00 543.61 559.3 561.7 -0.4 (1) 546,52 571.3 576.6 -0.9 576.01 734.1 727.7 +0.9 610.12 910.0 902.1 +0.9 645.91 1093.8 1084.6 +0.8 682.21 1278.9 1269.4 +0.7 720.89 1476.6 1466.1 +0.7 26.75 543.56 558.3 560.6 -0.4 (1) 545.29 568.3 568.9 -0.1 576.26 723.9 718.3 +0.8 607.21 873.9 867.2 +0.8 642.14 1042.1 1034.0 +0.7 678.76 1218.7 1210.4 +0.7 720.05 1417.4 1408.0 +0.7 19.75 537.64 513.7 516.2 -0.5 (1) 541.70 527.2 529.5 -0.4 570.85 628.3 624.4 +0.6 604.16 737.6 732.6 +0.7 638.02 846.9 842.1 +0.6 23

TABLE XIII (Cont.) Density Temperature Observed Calculated Per Cent Experimental lb/ft3 OR Psia Psia Difference Investigator 19.75 670.21 948.7 946.1 +0.3 (1) 689.52 1010.3 1008.3 +0.2 716.65 1094.3 1095.7 -0.1 12.77 522.21 408.0 409.9 -0.5 (1) 526.48 417.6 417.9 -0.1 557.49 478.2 476.3 +0.4 592.14 544.3 541.2 +0.6 623.19 601.6 599.2 +0.4 655.88 662.1 660.2 +0.3 685.58 715.7 715.5 0.0 710.27 758.0 761.4 -0.5 10.82 509.00 354.4 356.9 -0.7 (1) 522.03 375.2 377.0 -0.5 554.25 428.5 426.2 +0.5 587.41 479.9 477.1 +o.6 624.86 536.4 534.1 +0.4 650o.41 574.9 573.0 +0.3 671.75 606.5 605.4 +0.2 8.27 491.97 283.4 287.0 -1.3 (1) 518.50 315.7 316.5 -0.2 543.86 344.5 344.5 0.0 575.02 379.9 378.9 +0.3 605.98 414.4 413.0 +0.3 631.00 440.9 440.5 +0.1 6.00 472.33 214.4 217.1 -1.2 (1) 473.87 220.4 218.3 +1.0 511.45 247.1 246.8 +0.1 535.58 266.0 265.1 +0.3 572,32 294..2 292.8 +0.5 599.99 314.9 313.7 +0.4 4.27 455.48 159.0 16o.1 -0.7 (1) 460.83 161.8 162.8 0.0 500.02 183.0 183.0 0.0 537.89 203.0 202.4 +0.3 566.72 218.0 217.1 +0.4 604.88 237.4 236.6 +0.3 631.49 250.7 250.1 +0.2 2.91 438.58 110.7 111.7 0.0 (1) 472.78 123.2 123.1 0.0 506.60 134.8 134.5 +0.3 541.81 146.6 146.2 +0.3 581.95 159.8 159.6 +0.1 614.66 170.7 26 170.5 +0.1 26j

TABLE XIII (Cont. ) Dens iy Temperature Observed Calculated Per Cent Experimental lb/ft Psia Psia Difference Invtiator 1.68 407.93 62.99 63.41 -0.7 (1) 437.88 68.79 68.96 -0.2 476.24 75.92 76.o6 -0.2 509.56 81.96 82.21 -0.3 537.15 87.21 87.30 -0.1 566.27 92.62 92.66 0.0 1.15 338.24 41.76 42.44 -1.6 (1) 391.35 42.25 42.82 -1.3 422.63 46.43 46.71 -0.6 458.06 50.95 51.11 -0.3 494.62 55.47 55.64 -0.3 531.26 59.96 60.17 -0.4 566.80 64.29 64.57 -o.4 27

TABLE XIV COMPARISON OF AN EQUATION CF STATE* WITH EXPRIENTLLY DETERMINED PVT DATA FCR '"REON-21" Equation is: p = - 7.08189 + 0.101579 _ 0,.O 075159 + TE10426 + 0.00468o0 V2 V3 V4 v v2 _.001,59943 + 34 1/T3 3894000 _ 37693 where P is psia, V is ft3/lb., and T is *R(~F +459.7) Density Temperature Obse Pres. Calc. Pres. Per Cent Experimental lb /ft3 ~R Psia Psia Deviation Investior 5.4940 720.32 302.6 306.9 -1.4 (7) 732.53 312.3 315.6 -1.0 4.4653 706.07 252.9 256.3 -1.3 (7) 739-55 273.5 275.2 -0.6 776.63 294.7 295.6 -0.4 803.45 310.4 311.0 -0.2 3.5472 685.01 203.4 205.7 -1.1 (7) 717.77 218.7 219.9 -0.5 762.41 238.1 239.1 -0.4 801.83 255.4 256.0 -0.2 2.5244 659.99 147 11 148.38 -0.9 (7) 699.95 159.31 160.19 -0.6 735.59 170.03 170.70 -0.4 770.87 180.03 181.09 -o.6 1.5002 618.59 86.85 87.18 -0.4 (7) 656.21 93.03 93.51 -0.5 698.69 100.52 100.65 -0.1 771.05 112.42 112.78 -0.3 0.9188 587.09 52.08 52.47 -0.7 (7) 618.95 55.49 55.67 -0.3 689.51 62.59 62.74 -0.2 771.59 70.88 71.10 -0.3 28

TABLE XIV (Cont.) Density Temperature Obs. Pres. Calc, Pres. Per Cent Experimental lb jft _R Psia Psia Deviation Investigator 0.42752 533.81 22.68 22.91 -1.0 (7) 0.36455 533.27- 19.428 19.628 -1.0 0.27916 533.81 15.005 15.161 -1,0 0.27717 533.09 14.916 15.034 -0.8 0.27242 537.77 14.784 14.918 -0.9 0.27001 537~95 14.652 14.796 -1.0 0.18799 533.09 10.230 10.278 -0.5 0.12824 537-77 7.o064 7.111 -0.7 0.10023 533.09 5.511 5.522 -0.2 0.06933 537-59 3.852 3.852 0.0 29

TABLE XV COMPARISON CF AN EQUATTIi _F STATE* WITH EXPER-1TATJIY DETERMINED PVT DATA FOR "tFEON -22" *Equation is P = _6.71638 + 0.09464 _.00068934 + T 0.12300 2 V3 V4 V +0.00543136 q6985 20177000 + o5oo13 +] V2 V3 V4 T3 L where P is psia, V is ft3/lb., and T is ~R (*F + 459.7) Dens ity Temperature Obs. Pres. Calc. Pres. Per Cent Experimental lb/cu ft OR Psia Psia Difference Investigator 37.500 668.66 782.6 780.7 +0.3 This report 691.27 993.6 1000.0 -0.6 723.22 1396.5 131o.6 -0.3 756.84 16 9.3 1638.0 +0.7 789.28 19 3.8 1954.4 +1.5 36.200 661.98 715.7 713.9 +0.2 This report 684.48 913.3 922.4 -1.0 721,83 1267.8 1269.1 -0.1 760.10 1630.5 1624.8 +0.4 30.800 666.59 759.8 751.1 +1.2 This report 679.54 847.6 848.4 -0.1 709.00 1064.0 1069.7 -0.5 735~62 1271.1 1269.4 +0.1 781.22 1611,0 1611.5 0.0 826.81 1954.9 1953.3 +0.1 30.273 666.38 751.9 749.6 +0.3 This report 684.77 882.9 884.7 -0.2 703.96 1026.9 1025.5 +0.1 735.64 1260.8 1257.9 +0.2 28.300 660.11 691.8 707.2 -2.2 This report 670.12 774,8 774.5 0.0 689.09 895.8 902.0 -0.7 696.06 931e8 948.8 -1.8 723.33 1119.6 1131.6 -1.1 770.87 1453.8 1450.7 +0.2 798.79 1638.8 1637.7 +0.1 3o

TABI E XV (Cont.) Density Temperature Obs. Pres. Calc. Pres. Per Cent Experimental lb/cu ft ~R Psia Psia Difference Investigator 19.16o 667.08 725.7 725.3 0.0 This report 677.61 778.6 767.7 -1.4 688,09 820.6 809.8 +1.3 715.79 932.6 920.9 +1.3 761.65 1122.5 1104.3 +1.6 808.56 1309.3 1291.4 +1.4 830-072 1394.9 1379.6 +1.1 18.900 651.29 635.0 660.6 -3.9 This report 660.16 684.3 695.7 -1.6 666.88 719.4 722.3 -0.4 695.80 844.2 836.4 +0.9 750.29 1065.9 1050.7 +1.4 - 779.79 1185.6 1166.4 +1.6 823.91 1351.7 1339.1 +0.9 17o760 660.08 684.1 686.3 -0.3 This report 674.77 745.5 739.8 +0.8 685.37 786.5 778.3 +1.1 712.89 889.6 878.2 +1.3 768.33 1088.6 1078.9 +0.9 821,38 1288.2 1270.3 +1.4 4.961 584.75 267.5 273.7 -2.3 (7) 608.87 287.3 291.8 -1.5 633.53 308.6 310.1 -0.5 4.568 578.81 248.1 253.6 -2.2 (7) 608.87 269.7 274.0 -1.6 632.81 287.2 290.3 -1.1 668.63 308.8 314.3 -1.8 3.813 565.67 209.9 213.7 -1.8 (7) 625.97 245.1 247.0 -0.7 685.55 278.5 279.7 -0.4 738.11 307.6 308.5 -0.3 2.986 552.17 166.80 170.10 -1.9 (7) 616.61 195.31 197.07 -0.9 686.99 224.7 226.4 -0.8 743.51 248.1 249.9 -0.7 2.197 549.29 129.32 130.44 -0.9 (7) 615.35 149.46 150.14 -0.5 682.31 168.71 170.15 -0.8 740.45 186.05 187.32 -0.7 31

TABLE XV (Cont.) Density Temperature Obs. Pres. Calc. Pres. Per Cent Experimental lb/cu ft ~R Psia Psia Difference Investigator 1o.4750 549.29 90.57 91.45 -1.0 (7) 593.75 99.27 100.09 -0.8 628.85 106.08 106.89 -0.8 668.09 113.86 114.50 -0.6 1.0343 551.99 65.78 66.18 -o.6 (7) 625.43 75.68 75.98 -0.4 684.83 83.37 83.90 -0.6 741.35 90.88 91.43 -0.6 0.4582 539.39 29.49 29.67 -o.6 (7) 0.3314 727.49 29.26 29.38 -0.4 0.2508 727.49 22.24 22.28 -0.2 0.2271 536.87 14.755 14.802 -0.3 0.2266 538.67 14,814 14.822 -0.1 0.16896 727.49 14.990 15.043 -0.4 o.16504 727.13 14.637 14.688 -0.3 0.12043 536.15 7.876 7.886 -0.1 0.11177 727.49 9.940 9.967 -0.3 0.10844 727.13 9.667 9.667 0.0 o0.0o6460 536.15 4.246 4.244 0.0. 05692 726.95 5.072 5.080 -0.2 0.0o6454 727.49 5.764 5.764 0.0 32

TABLE XVI CCOMPARISON OF AN EQUATION OF STATE* WITH EXPEIMENTALLY DETERMINED PVT DATA FRCE 'TREON-113" *Equation is P = - 3.77770 + 0.03571.222.5727 + 0.0402027_ 2 v3 V4 v v2 v3 J 3 v L ] where P is psia, V is ft3/lb., and T is OR(~F +459.7) Densi y Temperature Obs. Pres. Calc. Pres. Per Cent Experimental lb/ft_ ~R Psia Psia Difference Investigator 9.394 818.58 290.4 2)0.7 -0.1 (7) 841.44 308.2 307.7 +0.1 8.173 806.88 259.1 260.5 -0.5 (7) 829.74 274.7 274.8 0.0 854158 291.1 290.3 +0.3 878.16 307.1 305.0 +0.7 6.785 793.02 223.7 224.2 -0.2 (7) 822.18 239.0 238.8 +0.1 852.06 254.7 253.7 0.0 877.98 268.1 266.5 +0.6 4.708 762.24 162.39 162.23 +0.1 (7) 798.96 174.59 174.13 +0.3 839.46 187.81 187.22 +0.3 877.26 200.31 199.42 +0.4 3.714 740.10 129.03 129.32 -0.2 (7) 785.46 140.'64 140.53 +0.1 836.94 153.72 153.21 +0.3 877.26 163.71 163.13 +0.4 2.5242 704. 10 87.38 38.o9 -o.8 (7) 754.50 96.07 96.13 -0.1 812.46 105.77 105.42 +0.3 858.90 113.26 112.86 +0.4 33

TABLE XVI (Cont.) Density Temperature Obs. Pres. Cale. Pres. Per Cent Experimental lb/ft3 OR Psia Psia Difference Investigator 1.7814 679.26 62.18 62.41 -0.4 (7) 734.52 68.59 68.27 +0.5 797.88 75.58 75.24 +0.5 858.90 82.47 81.94 +0.7 *This equation of state is calculated from the same reduced equation of state as 'F-115", 'F-114" Source of data is Benning and McHarness, JLR-30-89, No. 11, Serial No. 15954.

TABLE XVII CCaPARISON OF AN EQUATION OF STATE* WITH EXPERIMENTALLY DETERMINED PVT DATA FaR "FREON -11ll" Equation is P = 3. +5217. 032939 0.0 2 T.06278 + 00.497 v2 V3 V4 L v v2 0.01137 0_. Q 658 1_1 15397000 -21 V3 V4 r T3 V2 - 4 where P is isia, V is ft3/lb., and T is ~R(F + 459.7) Density Temperature Obs. Pres. Calc. Pres. Per Cent Experimental lb/ ft3 IIIR Psia Psia Difference Investigator 10.429 708.24 293.5 308.1 -4.7 (7) 724.98 311.0 323.3 -3.8 7.769 690.o6 236.2 236.6 -0.2 (7) 706.80 247.9 247.4 +0.2 724.98 260.0 259.1 +0.4 745.68 274.4 271.9 +0.9 764.04 286.0 284.1 +0.7 781.86 297.9 295.5 +0o.8 799.68 310.2 306.9 +1.1 6.328 673.50 197.07 198.12 -0.5 (7) 697.80 210.3 210.3 0.0 732.36 228.5 227.6 +0.4 764.04 245.3 243.5 +0.7 799.50 263.6 261.2 +o.g 4.484 648.84 146.22 145.57 +0.5 (7) 686.46 158.86 158.18 +0.4 725.16 172.09 171.12 +0.6 762.78 185.32 183.67 +0.9 799.32 197.51 195.84 +0.9 2.5414 605.64 82.97 83.63 -0.8 (7) 642.90 89.88 90.24 -0.4 703.02 100.98 100.88 +0.1 767.10 112,47 112*19 +0.2 35

TAL;E XVII (Cont.) Density Temperature Obs. Pres Cac Pres. Per Cent Experimental lb/ft ~R Psia Psia Difference Investigator 1.5780 573.78 51.39 51.54 -0.3 (7) 639.30 58.49 58.49 0.0 702.12 64.78 65.14 -o.6 767.10 71.98 72.00 0.0 0.4539 536.88 14.784 14.832 -0.3 (7) *This equation of state is calculated from the same reduced equation of state as F -115 ", 'F-113"'. 36

TABLE XVIII COMPARISON OF AN EQUATION OF STATE* WITH EXPERIMENTALLY DETERMINED PVT DATA FOR "FREON - 115" *p= 3.1857748 + 0.028919059 17.4448 x 10-6 + T.06941 + 0.00267975 v2 V v4 V V2 1.18424x1-5 _1.67627x10O-7 _1 L8343505 _ 5984..903J 3 V T3 2. 4. Where P is psia, V is ft3/lb, and T is ~R (~F+459.7) Density Temperature Experimental Calculated PerCent Experimental lb/cu ft OR psia pfia Deviation Investigator 42.01 633.5 439 439.1 0.0 (34) 641.7 487 489.7 -0.6 663.7 626 625.6 +0.1 688.6 790 779.8 +1.3 713.1 948 931.6 +1.7 747.8 I I80 1146.8 +2. R 37.504 642.0 487.7 487.5 +0.4 (34) 663.5 601.1 603.8 -0.4 688.0 735.4 736.6 -0.2 737.4 1008.3 1004.3 +0.4 790.7 1307.0 1292.7 +1.1 27.721 639.1 465.9 467.9 -0.4 (34) 674.4 595.8 597.7 -0.3 743.0 843.3 349.3 -0.7 813.9 1099 7 1108.5 -0.8 862.8 1274.1 1285.9 -0.9 23.042 638.9 455.6 455.0 +0.1 (34) 645.6 475.6 474.3 +0.3 696.9 623.6 621.6 +0.3 766.9 822.1 821.7 +0.0 786.6 876.4 877.9 -0.2 837.6 1016.9 1023.2 -0.6 16.675 619,8 373.0 376.3 -0.9 (34) 646.2 430.1 425.6 +1.0 718.0 564.3 559.2 +0.9 802.7 714.2 716.0 -0.2 886.9 866.3 871.4 -0.6 37

TABLE XVIII (Cont ) Density Temperature Experimental Calculated Per Cent Experimental lb/cu ft ~R Psia Psia Deviation Investigator 7.0000 575.5 202.9 2o4.3 -0.7 (34) 593.7 214.6 215.7 -0.5 608.5 223.8 224.9 -0.5 646.1 247.8 248.2 -0.2 670.2 263.2 263.1 0.0 701.3 282.5 282.3 +0.1 730.2 299.9 300.2 -0.1 754.1 314.4 314.9 -0.2 5,8850 571.6 179.4 179.1 +0.2 (34) 614.1 201.7 200.6 +0o.6 651.3 220.7 219.3 +0o.6 668.9 230.0 228.2 +o.8 718.2 253.9 252.9 +0.4 764.4 276.5 276.1 +0.2 2.9650 534.5 94.0 94.7 -0.7 (34) 569.7 102.6 102.8 -0.2 611.0 112.8 112.4 +0.4 661.9 124.7 124.1 +0.5 745.7 142.3 143.4 -0.7 1.2970 492.2 39.9 41.1 -3.0 (34) 535.5 44.5 45.2 -1.6 579.3 49.1 49.4 -0.6 620.0 52.7 53.2 -1.0 668.8 57.4 57.9 -0.8 717.0 62.1 62.4 -0.5 761.2 66.3 66.6 -0.5 1.1350 470.3 34.4 34.5 -0.3 (34) 492.2 36.4 i6.3 +0.2 531.2 39.6 39.5 +0.2 581.3 43.9 43.7 0.0 621.8 47.3 47.0 +0.6 668.1 51.3 50.8 +0.9 715.2 55.1 54.7 +0.7 757.9 58.7 58.2 +0.8 38

TABLE XIX COMPARISON OF AN EQUATION OF STATE* WITH EXPERIMENTALLY DETERMINED PVT DATA FOR "FREON-116"' * P. -= 2t83115 + 0.0241597 Q 14192 + 7+ 0.00287102 v2 v3 -- v V2 0.0 121430 0- 1646 V4 L_ v2 V4 where P is psia, V is ft3/lb, and T is mR (F+459.7) Temperature Density Experimental Calculation Per Cent Experimental oiR lb/cu ft Psia Psia Deviation Investigator 536.69 0.35582 14.687 14.671 +0.11 (41) 536.69 0.35250 14.559 14.536 +0.16 41 536.69 0.27795 11.503 11.490 +0.11 41 536.69 0.24810 10.272 10.265 +0.07 (41) 536.69 0.24438 10,124 10.112 +0.12 (41) 536.69 0.22681 9.394 9.391 +0.03 (41) 536.69 0.16957 7.033 7.034 -0.01 (41) 39

ENGINEERING RESEARCH INSTITUTE ~ UNIVERSITY OF MICHIGAN IVT SATURATED -APOR AND LIQUID DENSITIES A number of different investigators have reported saturated-vapor and liquid densities for various 'tFreons". In the case of the liquids all the densities have been measlred experimentally. However, in the case of the vapors, only a few saturated —rpor densities have been determined directly (indicated by.asterisks in Tables XX-XXVIII). For the most part saturatedvapor densities have been obtained by extrapolation of the isometrics, on a P-T plot, to the vapor-pressure curve. The simplest correlation of saturated vapor and liquid densities is by means of a compressibility plot such as Fig. 24, Reference to this plot shows that the saturated densities fall roughly into three groups, just as in the case of the vapor pressure and the PVT data of the vapor. The three saturated — apor lines which have been drawn on Fig. 24 were obtained by determining the intersectior of the constant TR lines (TRbelow 1) on the compressibility plots (Figs. 5 through 22) and the three vapor-pressure lines in Fig. 30 The three saturated- iquid d lines were drawn through the data. The saturatecQ -liquid data were found to fall in the same three groups as the vapor- pressure and PVT data. However, the group containing "F-21 and 22" now falls below the other two groups instead of between them. No -oneralized equations have been developed for the saturated-liquid densiftiles, however, Tables XIX to XXXVII present the experimentally determined densities compared to those calculated from equations suggested by the principal investigator in each case. 40

TABLE XX SATURATEL- "POR DENSITY OF t'F-11'1 Density Temperature Reduced Compressibility Experimental lb/ft3 OR Pressure Factor Investigator 1.1620 604.o8 0.0766 0.887 (7) 1.9175 641.88 0.1326 0.876 (7) 3.489 693.72 0.2435 0.876 (7) 3.826 700.92 0.2641 0.801 (7) 4.631 717.48 0.3148 0.770 (7) 5.551* 776.85 0.3820 0.758 (9) 5.557 733.68 0.3717 0.741 (7) 6.814 750.96 0o4436 0.705 (7) 12.04* 803.27 0.6991 O.587 (9) 12.47* 806.69 0.7195 0.581 (9) 15.03* 820.01 0.8026 0.529 (9) * Dew-point determination 41

TABLE XXI SATURATEL VAPOR DENSITY OF "F-1 2" Density Temperature Reduced Compressibility Experimental lb/ft) _R - Pressure Factor Investigator 1.804 521.9 0.1261 0.898 (16) 2.361 539.8 0.1666 0.876 (16) 2.821 552.4 0.2003 0.862 (16) 2.891 551.3 0.1970 0.829 This report 3.00 553.6 0.2039 0.823 5 it 3.170 557.5 0.2150 0.816 3.337 564.5 0.2368 o.843 (16) 3.770 572.7 0.2645 0.822 (16) 4,528 583.8 0.3071 0.779 (16) 4.756 587.3 0.3210 0.771 (16) 50187 594.0 0.3489 0.759 (7) 5.293 595.1 0.3541 0.754 (16) 6.537 610.3 0.4259 0.716 This report 10o49 * 647.8 0.643 0.634 (12) 10.75 646.6 0. 6279 0.606 This report 11 936 652.7 0.6728 0.579 (7) 12.61 * 661 o6 0.741 0.596 (12) 14.06 664.0 0.7597 0.546 This report 20.27 678.7 0.8756 0.427 This report *Dew-point determination. 42

TABLE XXII SATURATED-T APOR DENSITY "F-13" Temperature Temperature lb/ cu ft Reduced Compressibility Experimental OF OR Dens ity Pressure Factor Investigator -75.37 384.33 1.15 0.0743 0.920 (1) -56.97 402.33 1.68 0.1127 0.911 (1) -28,75 430.95 2.91 0.1950 0.850 (1) -7.24 452.46 4.27 0.280 0.793 (1) 12.70 472.40 6.00 0.378 0.729 (1) 31.03 490.73 8.27 0.513 0.691 (1) 46.62 506.32 10.82 0.623 0.622 (1) 55 e85 515.55 12.77 0.710 0.590 (1) 74077 534.47 19.75 0.896 0.465 (1) 83593 543.63 36.07 1.000 0.279 (1)

TABLE XXIII SATURATED VAPOR DENSITY OF "F-21" Density Temperature Reduced Compressibility Experimental lb/ft OpR Pressure Factor Investigator 0.9188 573.48 0.0674 0.920 (7) 1.5002 606.78 0.1135 0.897 (7) 2.5244 646.02 0.1904 0.839 (7) 3. 5472 673.56 0.2643 0.795 (7) 4.4653 693.0 0.3272 0.760 (7) 5.4940 711.0 0.3947 0.726 (7) 6.549 * 729.65 0.4765 0.716 (9) 12.22 * 777.89 0.7417 0.560 (9) 18.65 * 792.29.8380 o0.485 (9) *Dew-point determination.

TABLE XXIV SATURATED VAPOR DENSITY OF "F-22" Density Temperature Reduced Compressibility Experimental lb/ft3 ~R Pressure Factor Investigator 1.4750 497.34 0.1097 0.883 (7) 2.197 523.26 0.1650 o.850 (7) 2.986 543.96 0.2222 0.810 (7) 3.813 560.34 0.2812 0.779 (7) 4.568 568.44 0.330 0.752 (7) 4.961 574.92 0.353 0.733 (7) 17.760 661.2 0.941 0.454 This report 18.900 661.8 0.948 0.554 " " 19.160 662.4 0.961 0.297 28.300 662.8 0.967 0.305t t 30.273 663.5 0.977 0.288 30.800 664.2 0.990 0.287 45

TABLE XXV SATURATED-VAPOR DENSITY OF "F-113" Density Temperature Reduced Compressibility Experimental lb/ft3 ~R Pressure Factor Investigator 1.7814 667.98 0.1231 0.895 (7) 2.5242 696.6 0.1739 o.855 (7) 3.714 727.538 0.2537 0.812 (7) 4.708 743.22 0.3157 0.780 (7) 6.785 768.06 0.4255 0.706 (7) 8.173 781.38 0.4884 0.661 (7) 9.394 794.16 o.5504 0.638 (7) 9.917* 815.87 0.5965 o.638 (9) 15.22 * 848.45 0.7919 0.531 (9) 18.21 * 859.61 0.8686 0.480 (9) *Dew-point determination. 46

TABLE XXVI SATURATED VAPOR DENSITY OF "F-114" Density Temperature Reduced Compressibility Experimental lb/ft3 ~R Pressure Factor Investigator 1.5780 564.66 0.1065 O.898 (7) 2.5414 597.6 0.1729 0.855 (7) 4.484 640.26 0.3037 0.795 (7) 6.328 667.98 0.4118 0.732 (7) 7.769 686.34 0.4966 o.684 (7) 9.730* 698 69 0.5808 0.649 (9) 10.429 701.82 0.6084 0.625 (7) 14.91 * 728.39 0.7844 0.547 (9) 19.34 * 741.89 o0.8930 0.467 (9) *Dew-point determination. 47

TABLE XXVII SATURATED VAPOR DENSITY OF "F- 115" Temperature Temperature Density Reduced Compressibility Experimental ~F OR lb/cu ft Pressure Factor Investigator -1.3 458.4 1.135 0.06535 0.9130 (34) 5.0 464.7 1.297 0.08985 0.8904 (34) 51.5 511.2 2.965 0.1939 0.8326 (34) 95.3 555.0 5.885 0.3777 0.7545 (34) 106.3 566 o 7.000 0.4402 0.7245 (34) 159.1 618.8 16.675 0.8320 0.5263 (34) 170.0 629.7 23.042 0.9351 0.4200 (34) 174.3 634.0 27.721 0.9772 0.3625 (34) 175.89 635.59 37.21 1.000 0.2757 (34) 48

TABLE: XXVIII SATURATED-VAPOR DENSITY OF "F-116" Density Temperature Reduced Compressibility Experimental lb/ft3 ~R Pressure Factor Invest igator 0.57087* 351.38 0.03398 0.956 (41) 0.56820* 351.18 0.03384 0.956 (41). 56286* 350.82 0.03345 0.956 (41) 0.56278* 350.77 0.03340 0.956 (41) 0.44028* 342.09 0.02560 0.961 (41) 0.40052* 338.94 0.02314 0.963 (41) 0.25247* 324,40 0.01411 0.973 (41) 0.24838* 323.93 0.01389 0.976 (41) *Calculated from liquid volume and heat of vaporization. 49

TABLE XXIX SATURATED -LIQUID DENSITY "F- al" dL = 123.982-0.035565T-0.0 44318T2(420~R to 6000R) dL = 95.489+0.059498T-0.012370T2(600~R to 7200R) Temperature Experimental Calculated Per Cent Experimental OR dL dL Deviation Investigator 835.32 50.01 (9) 821.82 55.97 (9) 797.70 61.91 (9) 766.74 67.66 (9) 719.72 74.24 74.24 0.00 (9) 658.11 81.07 81.07 0.00 (9) 598.37 86.80 86.80 0.00 (9) 598.37 86.80 86.83 -0.02 (9) 579.54 88.48 88.49 -0.01 (11) 564.60 89.77 89.77 0.00 (11) 538.68 92.08 91.97 +0.12 (11) 525.58 93.05 93.05 0.00 (9) 522.66 93.30 93.29 +0.01 (51) 518.70 93.61 93.61 0.00 (19) 491.70 95.78 95.78 0.00 (11) 439.14 99.83 99.82 +0.01 (11) 50

TARTBLE XXX SATURATED -LIQUID DENSITY "F-122" d= 122.195-0.033276T-0 o04775T2 Temperature Experimental Calculated Per Cent Experimental OR dL EL Deviation Investigator 423.66 94.24 94.19 +0.05 (21) 44o.58 92.53 92.49 +0.04 (21) 448.68 91.70 91.66 +0.04 (21) 459.66 90.59 90.52 +0.08 (21) 474.60 88.99 88.95 +0.04 (21) 491.70 87.06 87.10 +0.04 (21) 516.54 84.41 84.33 +0.09 (21) 537.78 81.66 81.89 -0.28 (21) 554.88 79.44 79.87 -0.54 (21) 555.06 79.42 79.85 -0.54 (21) 576.12 76.54 77.30 -o.98 (21) 593.40 73.88 75.16 -1.70 (21) 51

TABLE XXXI SATURATED-LIQUID DENSITY +F-13" dL = 36.07 + 0.01566 (Tc-T) + 1.110 (Tc-T) 1/2 + 6.665(Tc-T)1 3+ 3.245 x 10-5(Tc-T)2 Temperature Experimental Calculated Per Cent Experimental OR d L Deviation Investigator 537-78 50.90 50.86 +o.08 (1) 529.52 56.55 56.57 -0.04 (1) 511.82 63.95 63.98 -0.05 (1) 499.84 67.64 67.66 -0.03 (1) 484.88 71.55 71.52 +0.04 (1) 466.43 75.62 75.60 +0.03 (1) 433.56 81.81 81.77 +0.05 (1) 380.86 90.11 90.03 +0.09 (1) 334.45 96.30 96.38 -0.08 (1) 301.67 100.51 100.56 -0.05 (1) 235.65 108.48 108.46 +0.02 (1) 52

TABLE XXXII SATURATED-LIQUID DENSITY "F - 21" dL = 116.385 - 0.031060T - 0.0o450098 T2 (42o' R to 620~R) Temperature Experimental Calculated Per Cent Experimental *R dL dL Deviation Investigator 794.10 50.77 (9) 775.92 55.97 (9) 746.e04 61.82 (9) 708~78 67.66 (9) 654.06 74.25 74.64 -0.52 (9) 645.42 74.04 75.47 -0.57 (8) 610.68 77.67 78.74 -0.09 (8) 584.94 81.08 81.08 0.00 (9) 576.30 80.91 81.85 +0.07 (8) 521.58 85.72 86.55 -0.20 (8) 518.48 86.81 86.82 -0.01 (9) 491.70 88.21 89.00 -0.89 (8) 491.70 89.03 89.o0 +0.03 (52) 455.07 91.15 91.88 -0.79 (8) 438.59 93.06 93.05 +0.01 (9) 418.80 93.83 94.59 -0.25 (8) 53

TABLE XXXIII SATURATED-LIQUID DENSITY "F-22t" dL = 105.045 + 0.018668T - 0.0 14066T2 (370~R to 540~R) dL = - 23.871 + 0.491523T - 0.0 3574202T (5400R to 610~oR) Temperature Experimental Calculated Per Cent Experimental OR d L dL Deviation Investigator 648.86 51.02 (9) 635.29 55.99 (9) 611.71 61.93 61.94 -0.01 (9) 582.11 67.67 67.68 -0.01 (9) 538.84 74.26 74.26 0.00 (9) 484.27 81.10 81.10 0.00 (9) 431.09 86.82 86.82 0.00 (9) 367.50 93.07 93.08 - 0.01 (9)

TABLE XXXIV SATURATED-LIQUID DENSITY 'P -113" dL = 122.879 - 0.0128016 T - 0.04635861T2 (440~R to 700~R) Temperature Experimental Calculated Per Cent Experimental OR dL dL Deviation Investigator 868.44 51.00 (9) 857.46 55.96 (9) 838.02 61.91 (9) 810.66 67.65 (9) 769.62 74.24 (9) 715.12 81.07 81.21 -0.17 (9) 659.37 86.79 86.79 0.00 (9) 640.29 88.55 88.61 -0.07 (9) 602.31 92.03 92.10 -o.o8 (9) 591.64 93.05 93.05 0.00 (9) 563.95 95.30 95.44 -0.15 (9) 563.70 95.38 95.46 -0.08 (29) 554.70 96.13 96.21 -0.08 (33) 540.30 97.33 97.40 -0-07 (37) 538.02 97.46 97.56 -0.10 (9) 536.70 88.65 97.69 -9.25 (13) 536.70 97.61 97.69 -0.08 (33) 527.70 98.39 98.41 -0.02 (29) 516.83 99.28 99.28 0.00 (9) 509.70 99.76 99.84 -0. 08 (37) 498.18 100.64 100.72 -0.08 (9) 491.70 101.11 101.21 -0.10 (48) 491.70 101.141 101.21 -0.07 (54,33) 438.78 105.23 105.02 +0.20 (9)

TABLE XXXV SATURATED -LIQUID DEFITY "'F-114" dL = 123.943 -0.016098T - 0.C4847815T2 (420R -5700~R) dL = 63.324 + 0.19430T - O.03267447T2 (570~R-670~R) Temperature Experimental Calculated Per Cent Experimental ~R dL dL!Deviation Investigator 747.66 50.77 (9) 738.30 55.97 (9) 722.10 61.92 (9) 699.96 67.66 (9) 665.08 74.25 74.25 0.00 (9) 619.30 81.o08 81.08 0.00 (9) 574.43 86.69 86.68 +0.01 (9) 573-38 86.80 86.80 0.00 (9) 573.38 86.80 86.84 -0.05 (9) 570.86 87.12 87.13 -0.01 (9) 565.14 87.78 87.77 +0.01 (9) 554.90 88.91 88.91 0.00 (9) 554.70 88.76 88.93 -0.19 (33) 5146.62 89.82 89.81 +0.01 (9) 536.70 90.84 90.89 -o0.06 (33) 534.90 91.o8 91.07 +0.01 (9) 528.08 91.8o 91.80 0.00 (9) 517.96 92.86 92.86 0.00 (9) 516.18 93.06 93.05 +0.01 (9) 510.06 93.67 93.68 -0.01 (9) 502.14 94.49 94.48 +0.01 (9) 491.75 95.52 95.52 0.00 (9) 491.74 95-51 95.52 -0.01 (9) 491.70 95.52 95.53 -0.01 (16) 491.70 95.59 95.53 +.0o6 (33) 472.58 97.37 97.40 -0.03 (9) 453.09 99.24 99.24 0.00 (9) 435.18 o00.89 100.88 +0.01 (9)

TABLE XXXVI SAIURATED-LIQUID DENSITY "F-115" d = 37.210 + 0.03648 (T -T) + 1.1893(T -T) + 6.68y57 (T - T) /3 + 2.8894 L c c C x 10-5 (T -T)2 Temperature Experimental Calculated Per cent Experimental OR dL dL Deviation Investigator 632.53 49.189 49.064 +0.25 (34) 613.20 61.656 61.781 -0.20 (34) 577~79 72 200 72.408 -0.29 (34) 561,67 75.634 75.915 -0.37 (20) 528~02 82.333 82.072 +0.32 (34) 473532 90.130 90.182 -0.06 (34) 470.41 90,455 90.571 -0o13 (20) 423.66 96~423 96.451 -0.03 (34) 420.55 96.860 96.832 +0.03 (34) 316.49 108.247 108.247 0.00 (34) 57

TABLE XXXVII SATURATED-LIQUID DENSITY '"-116" d: = 148.29 0.1368 T Temperature Experimental Calculated Per Cent Experimental "R I L Deviation Investigator 351.38 100.20 100.22 -0.02 (41) 351,18 100.20 100.25 -0,05 (41) 350.82 100.20 100.30 -0.10 (41) 350.77 100.20 100.30 -0.10 (41) 342.09 101.38 101.49 -0.11 (41) 338.94 102.58 101.92 4-0.65 (41) 324.40 103.82 103.91 -0.09 (41) 323o93 103.82 103.98 -0,15 (41)

1.00 FIG. 5 COMPRESSIBILITY FACTOR Z, TR- 0.72 0 FREON II ] FREON 13 e FREON 21 *0.92 088 o Q0.84 __ 0.80 0.T6 0.72 __l~ 0.00 0.5 1.0 1.5 2.0 PR

1.0_ __.oo~~ __ __ __ - ~~FIG. 6 COMPRESSIBILITY FACTOR Z, TR 0.76 0Q96 0 I I I I I I I I I o FREON II FREON 13 e FREON 21 0.92 _ +__ FREON 114 r T 1FREON 115 0.88-"z 0.84 0.80 0.76 -0,.72 -- 0.00 0.5 1.0 1.5 2.0 pit

.,0.....__~~~~~~ ~FIG. 7 COMPRESSIBILITY FACTOR Z, TR=0.80 0 FREON II *D FREON 12 FREON 13 e FREON 21 0 FREON 113 o__ FREON 114 0'9 - ~ FREON 115 z - 0.8 0.72 - - - - - 0.0 O.5 1..0 I. 20 pr

l.00 FIG. 8 COMPRESSIBILITY FACTOR Z, TR= 0.84 0.96 |r_ 0 FREON II FREON 12 (_ FREON 13 e FREON 21 0.92: ----t I I.. I. FREON 22 0 FREON 113 ___... __ FREON 114 FREON 115 0.88 z.. 0.84 -... 0.80 - 0.76 -___ 0.72 - - -~~~~0,0 0.5 1.0 1.5 2.0 PR

FIG. 9 COMPRESSIBILITY FACTOR Z, TR0.88 0.96 __ _ 0 FREON II FREON 12....... ____ ___ ____ __ _ ____ _ _FREON 13 e FREON 21 0.92 __F __ __ FREON 22 0 FREON 113 _ FREON 114 0.8 I, l cl I I I I T I FREON 115 0.80 F ~~._0.................. 7 6 _.._.____ 0.72 0.00 0.5 1.0 1.5 2.0 PR

1.0,"~,(]~............ I '"1 "' I!! I FIG. 10 COMPRESSIBILITY FACTOR Z, TR = 0.92 ~~_0.9. 0 FREON II 0 FREON 12,~ (!) I I.1 FREON 13 e FREON 21 0.8 0 r + 1 FREON 22 0) FREON 113 0 FREON 114 FREON 115 0.7 z - _ _ 0.6 0.5 0.4 0.3 - -_ 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 PR

FIG. 11 COMPRESSIBILITY FACTOR Z, TR0.96 _0 FREON II O.90 C) FREON 12 ____FREON 13 e FREON 21 O.8C __Q__ FREON 22 0 FREON 113 _ _ FREON 114 FREON 115 O.70 0.60 Q50O 0.4 -0.30 0 0 0 0.00 0. 1 020.3 0.4 0.5 0.6 0.7 0.8. 0 PR

1.0 I I FIG. 12 COMPRESSIBILITY FACTOR Z, TR 1.0 ~~l0.8 __ __ _:_ 0 FREON II 0.B i0.6 l_ [_ __ l_ l l m _ FREON 22 0,6 0 FREON 113 ___- __%___ __ __ FREON 114 ~ FREON 115 0.4 o-, 0.2 o.o 0.0 0.5 1.0 1.5 2.0 PR

l.0 I I I I I FIG. 13 COMPRESSIBILITY FACTOR Z, TR= 1.0 0.9 I I I I FREON 12 FREON 13 _ -FREON 22 ) FREON 114 0.8 - 0 FREON 115 0.7 ONh 0.6, 0.5.... 0.4.. 0.3 -.- -~ 0.0 0.5 1.0 1.5 2.o PR

- -0I I I - I I I I 1.0 0"~ FIG. 14 COMPRESSIBILITY FACTOR Z, TR= 1.08 0.9_ _ _ 0 FREON 12, ~ |FREON 13 0.8 IFREON 22 74 FREON 114 0.8' I FREON 115 0.7 0.6 0.5 0.4. _ 0.3.. 0.0 0.5 1.0 1.5 2.0 PR

..0 - I I FIG. 15 COMPRESSIBILITY FACTOR Z,TR= II 0.9 _ _ _ FREON 12 FREON 13... -"- e___ ___ ___ FREON 22 ~ FREON 115 0.8 0.7 z _ _ CY\ 0.6__ 0.5 0.4 0.0 0.0 0.5 1.0 1.5. PR

~~~~~1.0 ~~ I 'I I II.... ___ ___ ___ ___ ~~FIG. 16 COMPRESSIBILITY FACTOR Z, TR= 1.12 0.9 _D ____-FREON 12 FREON 13 Q r FREON 22 FREON 115 0.8 0.7 0.6 0.5 0.4.... 0.3... 0.0 1.0 2.0 3.0 4.0 PR

~~~~~~~~~1.0~~~1 I I I 1 j llll l ~ ] | | 1 FIG. 17 COMPRESSIBILITY FACTOR Z, TR= 1.16 0.9 0.9 FREON 12 FREON 13 Q FREON 22 'r T ~FREON 115 0.7 0.6 0.5 0.4 0.3. 0.0 1.0 2.0 3.0 4.0 PR

l.0 - - - - - - - - - -I I I i! I!.. 1.0 FIG. 18 *re COMPRESSIBILITY FACTOR Z TR= 1.2 0.9 FREON 12 FREON 13 G FREON 22 ___ ___ 8 ~~~~0 ~FREON 115 0.7 -z0.6 0.5 OAq 0.4 0.0 1.0 2.0 3.0 4.0 PR

I I I I I I I I _ _ _ ~.~ _ _ _ _ _ _ _ _ _ _ _ _ ~~~~F IG. 19 COMPRESSIBILITY FACTOR Z, TR= 1.24 0.9: Ml l | 1 l l l l FREON 13 FREON 22 0 FREON 115 0.8 0.6 0.4 0.3..0 0.0 1.0 2.0 3.0 4.0 PR

i.0 I I FIG. 20 COMPRESSIBILITY FACTOR Z, TR= 1.28 FREON 13 FREON 115 0.8 0.7 0.6 0.5 0.4 0.0 1.0 2.0 3D 4.0 PR

.0 I I I I I FIG. 21 os_ ___ ___ _ I COMPRESSIBILITY FACTOR Z, TR= 1.3 0.9 ~ FREON 13 FREON 115 0.8 0.7 _ z 0.6 0.5 -0.4 0.3 - I I - - - - - - - -. 0.0 1.0 2.0 3.0 40 PR

1.0 - FIG. 22 COMPRESSIBILITY FACTOR Z, TR 1.32 0.9 __ FREON 13 FREON 115 0.7 z '\ 0.6 0.5 04 _ 0.3 1 0.0 1.0 2.0 3.0 4.0 PR

1.0 FIG. 23 COMPRESSIBILITY FACTOR OF FREONS 0.8 '7 s~0 0 0.7 0,.7 1 ~.2, a. '~,~,,, '.. _.. _ _ ~ — ~~~~~~~~~~ ----.__ 0~~0. ~~~~~0.95 I-~~~~~~~~~~~~~~~~~~~~~~~N o.5... '%, ~',, _ 0.4 n'03 RTIA 1:.04_ REDUCED TMPERATURE, Tr ~~~~~~~~ I I I \\ I\ I \1, 1\\\ r~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ LL ____~~~~~~~~~~~~~~~~~~~LL F E N 13. _____ _____ 1.4 - EDUCE TEMERATUEVT - rcl.00: 0. 3 C1A FREONSI ISI 14111 0. C) LEGEND 0.2_BELOW Tr 0= 1.00:1 ALL FREONS c~0.0 __ 0.0 0.2 0.4 0.6 0.8 1.0 12 14 6 1.8 2.0 2.2 2.4 2.6V2.8r3.00: R PRESSUREO, 1, 0.0 'RTIA REDUCED~~~~~~~L PREOSSRP

I0 -FIG. 24 COMPRESSIB!LITY FACTOR OF THE SATURATED V\APOR AND LIQUID o FREON! 9s _ FREON 12 (DO~p~ ~ 4 FREON 13 ooe~ > o e e FREON 21 ) o o FREON 22 0 FREON I 13 o FREON 114 ~ FREON I 15 * FREON I 16 0.8 'F-113,114,115 AND 116" CURVES FROM REDUCED VAPOR 'F- 21 AND 22' PRESSURE EQUATION AND 'F- 11,12 AND13S GENERAUZED COMPRESSIBILITY 00.~~~~~~~~~~~~~~~7 PLOTS. 0.64 L I I I I 0 N 0.5 ~ N Q5 0 di 0 J0.4 0 CRITICAL Z FOR 'FREON -11' ~ 0.2773 12 0.27917/ Q3 13 0.2786 22 Q2721 113 0.2744 114 02745 115 0.275116 116 0.2722 ________ __ —, I!ANDO - Ci ~-~~I } _I 1 " —13,11 AND4, IIANDs6 CURVES 'F- 21AND22 DRAN THROUGH 0.1 02 03 04 0.5 0.6 0.7 0.8 0.9 10 REDUCED PRESSURE, PR- P/%p 78

ENGINEERING RESEARCH INSTITUTE * UNIVERSITY OF MICHIGAN V. SPECIFIC HEAT OF VAPORS AT INFINITE VOLUME The specific heat of the vapor at infinite volume was calculated for several of the "Freons" from spectroscopic data available in the literature. These are called statistical specific heats. The fundamental frequencies, w, of the "Freons" are shown in Tables XXXVIII, XXXIX AND XL, with references to the source of data. Some doubt has been expressed (15,55) as to whether in the case of "Freon-12" both 885 and 920 cm-1 are fundamentals. The comparison of the specific heats of "Freons-10,11,12, 13, and 14" shown in Fig. 25 would also support this doubt. It looks as if the specific heat of "Freon-12" should be somewhat higher. The calorimetric specific heats of Buffington and Fleischer (17) fall in the expected range, about halfway between "Freons-ll and 13". These calorimetric data are plotted in Fig. 25. The specific heat of "Freon-12" was calculated using an assumed fundamenta] frequency of 500 cm-1 instead of 88) cm-1 (Table XLi v), and the result was plotted on ig.o25 as a dashed lineo Further spectroscopic data on "Freon-12" would be most useful to settle this problem definitely. The specific heat of the vapor at infinite volume was calculated at temperatures from -2000F to 500~F with the aid of the tables presented by Hougen and Watson (28), which give values of the vibrational contribution to the specific heat as a function of w/T. For "Freon-115" (C2 CIF5) a potential barrier of 1750 cal/gm mole as determined by Long, Service, and Martin (34) was used to calculate the contrlbution of hindered internal rotation to the specific heat. This contribution was calculated using the method outlined by Hougen and Watson (28). The partition function was calculated by using an F-C distance of 137A and a C-C-F angle of 1120 10' as reported by Russel, Golding, and Yost (50) for F C-CH The C-C1 distance was taken as 1o.76A and the C-C-C1 angle as 110~ as Reported by Rubin, Levedahl, and Yost (47) for Cl C-CH. These distances and angles gave moments of inertia about the axis tZroug. the two carbons of 1,524 x 10-38 (gm)(cm2) for the CF C1 group or a reduced moment of inertia of 0,96414 x 10-38 (gm)(cm2,or the molecule. The partition function Q. then equalled 0.9143 T/2 In the case of "Freon-116" (C2 F ) a potential barrier of 4350 cal/ gm mole as determined by Pace and Aston (4Y) was used. The C-F distance was taken as 1.37A and the C-C-F angle as 1120 10', giving a reduced moment of inertia of 0.7618 x 10-38(gm)(cm2) and a partition function Qf of 0, 8127 T1/2. 79

ENGINEERING RESEARCH INSTITUTE * UNIVERSITY OF MICHIGAN The specific heat of "Freon-113" was calculated from an equation developed by Whitney (58) from the experimental values of Markwood (35) and some estimated frequency assignments. The statistical specific heats of the vapors are shown in Figs. 25, 26, and 27 as functions of temperature. Equations to represent these specific heats were calculated by the method of least squares and are compared with the statistical values in Tables XLI through LIII. VI. SPECIFIC HEAT OF SATURATED LIQUIDS (cs) The specific heats of the saturated liquids are useful principally to check the values of other properties, that is, vapor pressure, vapor density, and the specific heat of the vapor. This utilization of specific heat of the saturated liquid is well exemplified by Long, Service, and Martin (34). Ir this case it is used to determine the contribution of hindered rotation to the specific heat of the vapor at infinite volume. Saturated-liquid heat capacities have been experimentally determined for "Freon-13 and 115" by Aston and Wills (2) (who also represented their results by the equations in Tables LVI and LXI) and are known more accurately than for the other "Freons". When these data were plotted with reduced temperature as the abscissa, it was found that the curves were of the same form and approximately parallel. Therefore, when the limited saturated-liquid heat capacity data of other "Freons" were plotted on the same coordinates (Fig. 28), the curves for "F-13 and 115" were used as guides in drawing curves for the other compounds. For convenience in reading the values of Cs, these curves were redrawn in Fig. 29 with absolute temperature as the abscissa. It should be borne in mind that c is the saturated-liquid heat capacity and that in terms of c the heat capacity at constant pressure, is equal to cs =cp - T(d.V/dT)p(dP/dT), where (dP/dT) is the slope of the vapor-pressure curve. This difference becomes very important near the critical point. 8o

TABLE XXXVIII FUNDAME'TAL FREQUENCIES OF "FREONS - 10, 11, 12, 13, and 14" References F-10 (C cl1,.) 217,9 314 458.3 7 5 F-lI (C C1F 23 9.5 39.5 53.4 838 1070 (18), (25), (30) F-12 FC n (~5), (60) F -12 (C C12F2) 0 433 455 85 9 0 1155 (15), (5) // -F-13 I. (), (55) (c cl F3) 356 45o 563 781 11l5 1 12 F -14 (3), (30), (3l) (C F4) 437 o 96 265 (32), (60),(61)

TABLE XXXIX FUTMAMENTAL FEEQTENCIES (cmJ ) of 'TFREONS-20,21,22, and 2.3" Referoenses F-20 (C E Cl5) 2 6 364 6614 i756 1205 011 (31, (32), (9), (59), (60) (C R CI2FE) 277 3(;6 7j g7878 5 1o1y 1252 1310 3019 (15), (18), (23)~ &55C F-21 F~~~22 I36 (42-738) 11 1 310 135 3035 (C H CIF2) 3L 9 i 595 799 89 10 1 3035 (22), (2), (2) F-23 (C H F5) 5.1 696.7 93.8 1116.5 13 6.2 3o62 (21), (26), (60)

TABLE XL FUNDAMENTAL FREQUENCIES (cm-1) of "FREONS-115 and 116" F-115(C2C1 F5) F-116(C2F6) 75 216 (2) 189 349 (1) 264 380 (2) 316 518 (2) 333 620 (2) 367 714 (1) 448 809 (1) 560 1117 (1) 596 1237 (2) 648 1247 (2) 704 1420 (1) 762 984 1128 1180 1230 1348 References (4) ('34) (4), (38), (40), (41) 83

TABLE XLI SPECIFIC HEAT OF "FREON-10" (CC14) Temperature C v(statis.) CV(statis.) C (calc.)* %Deviation ~F Btu/(mole)(~R) Btu/(lb)(~R) Btu/(lb)( ~R) Calc.-stat. x 100 calc. -200 12.0720 0.07847 0.07966 +1.49 -100 14.7405 0.09582 0.09484 -1.03 0 16.7473 0.10886 0.10773 -1.05 +100 18.2623 0.11871 0.11833 -0.32 200 19.3925 0.12606 0.12666 +0.47 300 20.2439 0.13159 0.13270 +0.84 400 20.8882 0.13578 0.13645 +0.49 500 21.3828 0.13900 0.13792 -0.78 average 0.81 *Equat ion: C~= 0.029589+2.22471 x 10-4T - 1.14190 x 10-7T2 V 84

TABIJE XLII SPECIFIC HEAT OF "FREON-11" (CC15F) Temperature CV (statis.) Cv (statis.) CV (calc.)* % Deviation ~F Btu/(mole)(OR) Btu/(lb)(oR) Btu/(lb)(~R) Calc.-stat. x 100 calc. -200 10,8136 0.07871 0.07976 +1.32 -100 13.4095 0.09761 0.09675 -0.89 0 15.4410 0.11240 0.11137 -0.92 +100 17.0298 0.12396 0.12363 -0.27 200 18.2703 0.13299 0.13553 +0.40 300 19.2425 0.14007 0.14105 +0.69 400 20.0043 0.14561 0.14622 +0.42 500 20.6042 0.14998 0o14901 -0.65 average 0.70 *Equation: cV = 0.024595+2.43143 x 10-4T - 1.18267 x 10-7T2

TABLE XLIII SPECIFIC HEAT OF "FREON-12" (CC1 2F2) Temperature CV (statis.)* CV (statis.) CV (calc.)"** % Deviation ~F Btu/(mole)(~R) Btu/(lb)( R) Btu/(lb)(OR) Calc.-stat. x 100o calc. -200 9 1492 0.07566 0.07570 +0.05 -100 11.2822 0.09330 0.09330 0.00 0 1351872 0.10905 0.10899 -0.06 +100 14.8587 0.12288 0.12276 -0.10 200 16.2812 0.13464 0.13461 -0.02 300 17 o4587 0.14438 0.14455 +0.12 400 18.4238 0.15236 0.15257 +0.14 500 19.2142 0.15889 o.15868 -0.13 average v.08 *Using the fundamental frequencies reported in the literature. **Equat iono CV = 0.021040 + 2.35355 x 10-4T - 0.95798 x lo-7T2 86

TABLE XLIV SPECIFIC HEAT OF "FREON-12" (CC12F2) Temperature Cv (statis.)* CV (statis.) C0 (calc.)** % Deviation ~F Btu/( lb)( ~R ) Btu/( lb)( ~R) BYu/(lb)( ~R ) Calc.-stat. x 100 calc. -200 9.4688 0.07830 0.07896 -0.08 -100 11.8880.09831 0.09782 0.05 0 13.9111 0.11504 0.11435 o.o6 +100 15.5799 0.12884 0.12853 0.02 200 16.9456 0.14013 0.14038 -0.02 300 18.0213 0.14903 0.14989 -0.06 400 18.9399 o.15663 0.15706 -0.03 500 19.6639. 16261. 16189. 04 average o. 0o4 5 * Using assumed value of 500cm-l instead of 885 cm-1 reported in literature. All other fundamental frequencies remained the same. **Equat ion: = 0o.oo019069 + 2.60998 x lo0-4T - 1.16887 x 10-7T2 87

TABLE XLV SPECIFIC HEAT OF "FIREON-13" (CC1F3) Temperature CV (statis) C (statis.) C0 (calc.)* % Deviation ~F Btu/(mole)( R ) BYu/( lb)(R) BYu/(lb)( ~R) Calc.-stat. x 100 calc. -200 8.4942 0.08131 0.08159 +0.34 -100 10.7434 0.10284 0.10272 -0.12 0 12.7335 0.12189 0.12149 -0.33 +100 14.4321 0.13815 0.13791 -0.17 200 15.8612 0,15183 0.15198 +0.10 300 1700553 0.16326 0.16370 +0.27 400 18.o435 0.17272 0.17307 +0.20 500 18.8605 0.18054 0.18008 -0.26 average 0.22 *Equat ion: CV = 0.015751 + 2.84064 x 10-4T - 1.17569 x 10-7T2 88

TABLE XLVI SPECIFIC HEAT OF "FREON-14" (CF4) Temperature Cv(statis.) C (statis.) Co (calc.)* % Deviation ~F Btu/(mole) (~R) Bu/(lb)( ~R) BYu/(lb) (~R) Calc.-stat. x 100 calc. -200 7.4189 0.08430 0.08345 -1.02 -100 9.3338 0.10605 0.10707 +0.95 0 11.2712 0.12807 0.12853 +0.36 +100 13.0279 0.14803 0.14785 -0.12 200 14.5595 o.16543 o.16501 -0.25 300 15.8703 0.18032 0.18002 -0.17 400 16.9740 0.19286 0.19289 +0.02 500 17.8976 0.20336 0.20360 +0.12 average 0.38 *Equat ion: CV = 0.012080 + 3.02762 x 10-4T - 1.07536 x 10-7T2 89

TABLE XLVII SPECIFIC HEAT OF "FREON-20" (CHC1 ) Temperature CV (statis.) C0 (statis.) C (calc.)* % Deviation ~F Btu/(mole)('R) Bu/(lb)(tR) BtVu/(lb)(~R) Calc.-stat. x 100 calc. -200 9.2153 0.07719 0.07730 +0.14 -100 11.0234 0.09233 0.09229 -0.04 0 12.6333 0.10582 0.10568 -0.13 +100 14.0407 0.11760 0.11747 -0.11 200 15.2372 0.12763 0.12766 +0.02 300 16.2413 0.13604 0.13625 +0.15 400 17.0769 0.14304 0.14325 +0.15 500 17.7746 0.14888 0.14864 -0.16 average 0.11 *Equat ion: CV = 0.050898 + 1.99432 x 10-4T - 0.79967 x 10-7T2 90

TABLE XLVIII SPECIFIC HEAT OF "FREON-21" (CHC12F) Temperature Cv (statis.) CV (statis.) CV (calc.)* q Deviation ~F Btu/(mole)( R) Btu/(lb)(OR) Btu/(lb)( ~R ) Calc.-stat. x 100 t. calc. -200 8.3443 0.08117 0.08118 +0.01 -100 10.0048 0.09731 0.09736 +0.05 0 11.5360 0.11218 0.11216 -0.02 +100 12.9274 0.12570 0.12557 -0 10 200 14.1658 0.13773 0.13760 -0.09 300 15.2376 o.14815 0.14825 +0.07 400 16.1569 0.15708 0.15751 +0.27 500 17.0428 o.16568 0.16538 -0.18 average 0.10 *Equat ion: 0 CV = 0.032689 + 2.04694 x 10-4T - 0.69218 x 10-7T2 91

TABLE XLIX SPECIFIC HEAT OF "FREON-22" (CHCLF2) Temperature C(statis.) C (statis.) C (calc.)* %Deviation ~F Btu/(mole)( ~R) BYu/( lb)( R) Btu/(lb) (~R) Calc.-stat. x 100 calc. -200 7.5065 o.o8681 o.o8609 -0.84 -100 9.0700.10o489 0.10561 +0.68 0 10.6396 0.12304 0.12358 +0.44 +100 12.1068 o.1400 0.14001 +0.01 200 13.4284 0.15529 0.15489 -0.26 300 14.5814 0.16862 0.16823 -0.23 400 15.5741 0.18010 0.18002 -0.04 500 16.4249 0.18994 0.19027 +0.17 average 0.33 *Equat ion: 0 CV = 0o028195 + 2.43008 x lo0-4T - 0. 77243 x lo-7T2 92

TABLE L SPECIFIC HEAT CF "FBEON-23" (CEF3) %Deviation Temperature Cy (statis.) CV (statis.) C~v(calc. calc.-stat.x100 Or Btu/ (mole)(~R) Btu/(lb)(~R) Btu/(lb) (~R) calc. -200 6.7408 0.09627 0.09426 -2.13 -100 8.0171 0.11450 0.11644 +1.67 0 9.5138 0.13588 0.13746 +1.15 +100 10.9998 0.15710 0.15732 +0.14 200 12.3974 0.17706 0.17601 -o0.60 300 13.6448 0.19488 0.19353 -0.70 400 14.7352 0.21045 0.20990 -0.26 500 15.6751 0.22387 0.22509 +0.54 average 0.90 *Eq.uat ion: COV = 0.031220 + 2.57865 x 104T - 0.58193 x 10-7T2 93

TABLE LI SPECIFIC HEAT OF "FREON-113" (C2C13F3 ) Temperature CV (calc.)* CV (calc.)* ~F Btu/(mole)( ~R ) Btu/(lb) ( ~R) -200 16.078. 0858 -100 19.938 0.1064 0 23.405 0.1249 +100 26.460 o.1412 200 29.102 0.1553 300 31.3551 o.1673 400 33.168 0.1770 500 34.592 o.1846 CV = 0.1249 + 0.0001738t - 0.0010862 x 10-4t2 9%j

TABLE LII SPECIFIC BEAT OF "FREON-115" (F3CCF2C1) Temperature Cv (statis.) C (statis.) CCV (calc.)* % Deviation ~F Btu/(mole)(O R) Bu/(lb)( R) Btu/(lb)(~R) Calc.-stt. x 1O -200 16.4534 0.o10651 0.10739 +0.82 -100 20.2945 0.13138 0.13064 -0.57 0 23.4805 0.15200 0,15114 -0.57 +100 26,1282 0.16914 0,16888 -0,15 200 28.3250 0o 18336 0.18388 +0.28 300 30.1749 0.19534 0.19612 +0.40 400 31.6869 0.20512 0.20561 +0.24 500 32.9268 0.21315 0.21235 -0.38 average ~..43 *Equat ion: C = 0o034157 + 3.17723 x 10-4T - 1.37593 x 10-7T2 V 95

TABLE LIII SPECIFIC BEAT OF "FREON-116"(C2F6) Temperature Cv (statis.) C0 (statis.) CV (calc.)* % Deviation ~F Btu/(mole)( R ) BYu/(lb)(O ) Btu/(lb)(OR) Calc.-stat. x 100 calc. -200 135.8429 0.10030 0.10057 +0.27 -100 17.6544 0.12791 0.12773 -0.14 0 21.0401 0.15244 0.15206 -0.25 +100 23.9656 0.17364 0.17357 -0.04 200 26.5196 0.19214 0.19226 +0.o6 300 28.6765 0.20777 0.20812 +0.17 400 30.4871 0.22089 0.22116 +0.12 500 31.9853 0.23174 0.23137 -0.16 average 0.15 *Equation: CV = 0.016837 + 3.59098 x 10-4T - 1.41253 x 10-7T2

24 44 22 I 0 1 1 1 1 1 1 1 2 1 20 20 "~0 //_ __ __ VOL ME Of_ SUPERHEATEDi TEMPERATURE, F l _81 1 I I I I1~Z ~ G~rPO,~~;ca 10 6:FlX616 -200 -100 0 100 200 30 400 500 -200 -100 0 100 200 300 400 500~~

22E - - - - I 22 20 20 18 ' ' ' { 1 S I II | | 6 r l l l W t41f EONS-2,21,22AN 23." 0 16 -200 -10 0 00 00 00 4.1000 1F4 VAL TEMPERATURE, F 8 298 -200 -I00 0 I00 200 300 400 500 TEMPERATUREe OF

36 I I I I I 36 32- 32;8.-0 0 28 02 24 %W- - 20, 2 o0 '6 1 16( I I I _16 FIG. 27 SPECIFIC HEAT AT INFINITE VOLUME OF SUPERHEATED "FREON" VAPORS AS CALCULATED FROM SPECTROSCOPIC DATA. 8 - - l ] - "FREONS- 113,115 AND 116." 8 -200 -100 0 100 200 300 400 500 TEMPERATURE, OF 99

TABLE LIV SATURATED BEAT CAPACITY (C8) CF LIQUID 't-llf" Temperature Experimental Experimental OR cs Investigator 470.64 28.63 (36) 489.72 28.92 (36) 607.98 30.25 (36) 625.44 30.45 (36) TABLE LV SATURATED BEAT CAPACITY (cs) GF LIQUID ttF-12"' Temperature Experimental Experimental ~R Cs Investigator 522.3 30.3 (17) 414.3 2504 (17) 100

TABIE LVI SATURIATED HEAT CAPACITY(cs) OF LIQUID "F-13" Temperature Experimental Predicted Per cent Experimental OR _ Cs Deviation Investigator 179.23 20.23 20.21 +0.1 (2) 190.53 20.19 20.15 +0.2 (2) 201.89 20.17 20.13 +0.2 (2) 213-55 20.17 20.09 +0.4 (2) 226.76 20.21 20.09 +0.6 (2) 239.90 20.28 20.22, 0.3 (2) 248.85 20.34 20.36 -0.1 (2) 258.34 20.42 20.42 0.0 (2) 265.99 20.50 20.51 0.0 (2) 277.00 20.65 20.66 -0.1 (2) 287.15 20,76 20.81 -0.2 (2) 296.01 20.90 20.93 -0.1 (2) 305.39 21.06 21.07 0.0 (2) 314.53 21.23 21.37 -0o7 (2) 524.38 21.45 21.56 -0.6 (2) 335.79 21.64 21.77 -0.6 (2) 343.03 21.85 21.94 -0.4 (2) 353.65 22.13 22.12 0.0 (2) 365.44 22.45 22.42 0.0 (2) 375.71 22.74 22.79 -0.2 (2) 384.17 23.01 22.90 +0.5 (2) 392.15 23.27 23.37 -0.4 (2) = 25.89 -0.05652T + 0.048858T2 101

TABLE LVII SATURATED HEAT CAPACITY (cs) of liquid "F-21" Temperature Experimental Experimental OR -Co Investigator 469.92 25.25 (36) 489.54 25.35 (36) 591.06 26.51 (36) 608.16 26.68 (36) TABLE LVIII SATURATED HEAT CAPACITY (ca) of liquid "F-22" Temperature Experimental Experimental OR C s Invest iator 460.56 23.40 (36) 480.18 23.82 (36) 573.60 26.91 (36) 590.88 27.59 (36) 102

TABLE LIX SATURATED HEAT CAPACITY (cs) OF LIQUID '"-113" Temperature Experimental Experimental OR Cs Cs- CS Investigator 471.00 39.74 (36) 490.44 40.32 (36) 532.74 41.24 (36) 546.42 41.60 (36) 568.20 41.88 (36) 605.64 42.72 (36) TABLE LX SATURATED HEAT CAPACITY, (cs) OF LIQUID 'F-114" Temperature Experimental Experimental OR Cs Investigator 471.54 38.54 (36) 489.54 38.90 (36) 590.52 41.77 (36) 606.00 42.28 (36) 103

TABLE LXI SATURATED BEAT CAPACITY (c) COF LIQUID "F-115" Temperature Expgrimental Prsdicted Per Cent Experimental "R 5 8 Deviation Investigator 325.22 31.43 31.36 +0.2 (2) 343.40 31.87 31.93 -0.2 (2) 352.94 32.27 32.27 0.0 (2) 364.57 32.69 32.70 0.0 (2) 375.17 33.17 33.13 +0.1 (2) 385.25 33.59 33.56 +0.1 (2) 394.78 33-93 33-99 -0.2 (2) 404.19 34.02 34.44 -1.0 (2) 412.87 34.59 34.86 -0.8 (2) 421.79 35.29 35.32 -0.1 (2) 431.59 35.62 35.85 -0.6 (2) 441.02 36.36 36.38 -0.1 (2) 450.95 36.91 36.96 -0.1 (2) 460.35 37.34 37.53 -0.5 (2) 470.88 38.20 38.20 0.0 (2) 48o.o8 38.80 38.80 +0.1 (2) 487.67 39.31 39.31 +0.5 (2) c = 34.428 - 0.04841 T + 0.031198 T2 104

50 C,) Uw FIG. 28 n-O ~ HEAT CAPACITIES (Cs) OF o~J ~SATURATED LIQUID FREONS n,,,. o FREON I I L,_ ~- ( FREON 1 2 Im a( FREON 13 30" e FREON 21.....o 0 FREON 22 FREON I 13I Q FREON 1 14 Uo ~S0 FREON 1 15 I -2 IC 0.3 0.4 0.5 0.6 0.7 0.8 0.9 REDUCED TEMPERATURE TR =T/Tc

50 FIG. 29 HEAT CAPACITIES (CS) OF SATURATED LIQUID FREONS -J 0 FREON I I 0 (o FREON 12 FREON 13 -o~~~~~~r 40 e FREON 21 * FREON 22 0 FREON 113 m o FREON 114 cn 0 FREON 1 15 CY 0 _ _ _ _ _ 0'% 30 ui 0 20 10 20 -W3 4050 0 IT 10 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ __~~~~~F-~,, Q~~~0 30 40 50 60 700 cn ~ ~ ~ ~ ~ ~ ~~~~TEPRTR (0R)

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