The density of saturated liquid refrigerant–134a for –20°C ≤ T ≤ 100°C is given in Table A– 4. Using this value develop an expression in the form ρ = aT² + bT + c for the density of refrigerant–134a as a function of absolute temperature, and determine relative error for each data set.

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TABLE A-4 Properties of saturated refrigerant-134a Temp. T, "C -40 -35 84.4 1389 -30 -25 106.5 1374 -20 132.8 1359 0 5 Density p. kg/m³ 0 5 20 25 30 35 0 45 0 55 50 55 0 5 20 25 90 5 100 Saturation Pressure P, kPa Liquid Vapor -15 164.0 1343 -10 200.7 1327 243.5 -5 1311 293.0 1295 349.9 1278 10 51.2 1418 66.2 1403 414.9 1261 15 488.7 1244 572.1 1226 665.8 1207 770.6 1188 2.773 3.524 4.429 5.509 6.787 8.288 10.04 12.07 14.42 17.12 20.22 23.75 27.77 32.34 37.53 887.5 1168 40 1017.1 1147 87.38 1160.5 1125 50 1318.6 1102 1492.3 1078 60 1682.8 1053 65 1891.0 1026 100.4 70 2118.2 996.2 115.6 75 2365.8 964 133.6 80 2635.2 928.2 155.3 85 2928.2 887.1 182.3 3246.9 837.7 217.8 95 3594.1 772.5 269.3 3975.1 651.7 376.3 43.41 50.08 57.66 66.27 76.11 Enthalpy of Vaporization ki/kg 225.9 222.7 219.5 216.3 213.0 Specific Heat pJ/kg-K 168.2 163.0 157.6 Thermal Conductivity k, W/m-K Liquid Vapor Liquid Vapor 1254 748.6 0.1101 1264 764.1 0.1084 780.2 0.1066 209.5 1306 206.0 1318 202.4 1330 198.7 1344 194.8 1358 151.8 145.7 1273 1283 1294 0.00811 0.00862 0.00913 797.2 0.1047 0.00963 814.9 0.1028 0.01013 190.8 1374 943.2 0.0903 186.6 1390 969.4 0.0880 182.3. 1408 997.6 0.0856 177.8 1427 1028 0.0833 1061 0.0808 173.1 1448 833.5 0.1009 0.01063 853.1 0.0989 0.01112 873.8 0.0968 0.01161 895.6 0.0947 0.01210 918.7 0.0925 0.01259 1471 1498 1098 1138 1529 1184 1566 1237 1608 1298 1659 1372 1722 1462 1801 1577 1907 1731 2056 1948 0.01308 0.01357 0.01406 0.01456 0.01507 0.0783 0.01558 0.0757 0.01610 0.0731 0.01664 0.0704 0.01720 0.0676 0.01777 0.0647 0.01838 0.0618 0.01902 0.0587 0.01972 0.0555 0.02048 0.0521 0.02133 0.0484 0.02233 0.02357 0.02544 0.02989 139.1 132.1 124.4 115.9 106.4 95.4 2287 2281 82.2 2701 2865 0.0444 64.9 3675 4144 0.0396 33.9 7959 8785 0.0322 Dynamic Viscosity μ, kg/m-s Liquid 4.878 x 104 4.509 x 10-4 4.178 x 10 4 3.882 x 10 4 3.614 x 104 3.371 x 10-4 3.150 x 104 2.947 x 10-4 2.761 x 104 2.589 x 10-4 2.430 x 10-4 2.281 x 10-4 2.142 x 104 2.012 x 10-4 1.888 x 104 1.772 x 104 1.660 x 104 1.554 x 104 1.453 x 10-4 1.355 x 10-4 1.260 x 104 1.167 x 104 1.077 x 10-4 9.891 x 10-5 9.011 x 10-5 8.124 x 10-5 7.203 x 10 5 6.190 x 10-5 4.765 x 10-5 Vapor 2.550 x 10-6 3.003 x 10 3.504 x 10-6 4.054 x 10-6 4.651 x 10-5 5.295 x 10-6 5.982 x 10 6 6.709 x 10- 7.471 x 10-6 8.264 x 10- 9.081 x 10-6 9.915 x 10-6 1.075 x 10-5 1.160 x 10-5 1.244 x 10-5 1.327 x 10-5 1.408 x 10-5 1.486 x 10-5 1.562 x 10-5 1.634 x 10- 1.704 x 105 1.771 x 10-5 1.839 x 10-5 1.908 x 10-5 1.982 x 10-5 2.071 x 10-5 2.187 x 10 5 2.370 x 10-5 2.833 x 105 Prandtl Number Pr Volume Expansion Surface Coefficient Tension, B. 1/K N/m Liquid Liquid Liquid Vapor 5.558 0.235 0.00205 0.01760 5.257 0.266 0.00209 0.01682 4.992 0.299 0.00215 0.01604 4.757 0.335 0.00220 0.01527 4.548 0.374 0.00227 0.01451 0.00233 0.01376 4.363 0.415 4.198 0.459 0.00241 0.01302 4.051 0.505 0.00249 0.01229 3.919 0.553 0.00258 0.01156 3.802 0.603 0.00269 0.01084 3.697 0.655 0.00280 0.01014 3.604 0.708 0.00293 0.00944 3.521 0.763 0.00307 0.00876 3.448 0.819 0.00324 0.00808 3.383 0.877 0.00342 0.00742 3.328 0.935 0.00364 0.00677 3.285 0.995 0.00390 0.00613 3.253 1.058 0.00420 0.00550 3.231 1.123 0.00456 0.00489 3.223 1.193 0.00500 0.00429 0.00554 0.00372 0.00624 0.00315 3.229 1.272 3.255 1.362 3.307 1.471 0.00716 0.00261 3.400 1.612 0.00843 0.00209 3.558 1.810 0.01031 0.00160 3.837 2.116 0.01336 0.00114 4.385 2.658 0.01911 0.00071 5.746 3.862 0.03343 0.00033 11.77 8.326 0.10047 0.00004