The density of liquid water can be correlated as ρ(T) = 1000-0.0736T-0.00355T²where ρ and T are in kg/m and °C, respectively. Determine the volume expansion coefficient at 70°C. Compare the result with the value tabulated in Table A€“15.

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TABLE A-15 Properties of saturated water Volume expansion Enthalpy of Specific heat Thermal Prandti Saturation Density conductivity k, W/m-K Dynamic viscosity number coefficient P, kg/m? Vapor h kJ/kg Liquid vaporization , J/kg-K H, kg/m-s Pr B, 1/K pressure Temp. T, "C Pat, kPa Liquid Liquid Liquid Vapor Vapor Vapor Liquid Vapor Liquid 2501 2490 0.0171 1.792 x 10-3 0.01 0.6113 999.8 0.0048 4217 1854 0.561 0.922 x 10-5 13.5 1.00 -0.068 x 10-3 0.934 x 10-5 0.946 x 10-5 0.959 x 10-5 0.973 x 10-5 1.00 0.015 x 10-3 1.00 0.733 × 10-3 1.00 0.138 x 10-3 1.00 0.195 x 10-3 0.8721 999.9 0.0068 4205 1857 0.571 0.0173 1.519 x 10 11.2 0.0176 1.307 x 10-3 0.0179 1.138 x 10 0.0182 1.002 x 10-3 10 1.2276 999.7 0.0094 2478 4194 1862 0.580 9.45 0.0128 15 1.7051 999.1 2466 4185 1863 0.589 8.09 1867 7.01 20 2.339 998.0 0.0173 2454 4182 0.598 0.0186 0.891 x 10-3 0.0189 0.798 x 10-3 0.0192 0.720 x 10-3 0.0196 0.653 x 10-3 0.987 x 10-5 1.001 x 10-5 1.016 x 10-5 1.031 x 10-5 1.00 0.247 x 10-3 1.00 0.294 x 10-3 1.00 0.337 x 10-3 1.00 0.377 x 10-3 997.0 6.14 25 3.169 0.0231 2442 4180 1870 0.607 30 4.246 996.0 0.0304 2431 4178 1875 0.615 5.42 994.0 1880 4.83 4.32 35 5.628 0.0397 2419 4178 0.623 4179 40 7.384 992.1 0.0512 2407 1885 0.631 1.046 x 10-5 1.062 x 10-5 1.077 x 10-5 1.093 x 10-5 1.110 x 10-5 1.126 x 10-5 1.142 x 10-5 1.159 x 10-5 1.00 0.415 x 10-3 1.00 0.451 x 10-3 1.00 0.484 x 10-3 1.00 0.517 × 10-3 1.00 0.548 x 10-3 1.00 0.578 × 10-3 1.00 0.607 x 10-3 1.00 0.653 x 10-3 1.00 0.670 x 10-3 1.00 0.702 x 10-3 1.00 0.716 x 10-3 1.00 0.750 x 10-3 1.00 0.798 x 10-3 1.00 0.858 × 10-3 1.01 0.913 x 10-3 1.02 0.970 x 10-3 1.025 x 10-3 1.145 x 10-3 1.178 x 10-3 0.983 1.07 1.210 x 10-3 1.280 x 10-3 0.910 1.11 1.350 x 10-3 1.641 x 10-5 0.865 1.15 1.520 x 103 1.720 x 10-3 1.788 x 10-5 0.832 1.35 2.000 x 103 1.870 x 10-5 0.854 1.49 2.380 x 103 2395 1892 3.91 45 9.593 990.1 0.0655 4180 0.637 0.0200 0.596 x 10 0.0831 0.0204 0.547 x 10-3 50 12.35 988.1 2383 4181 1900 0.644 3.55 55 15.76 985.2 0.1045 2371 4183 1908 0.649 0.0208 0.504 x 10 0.0212 0.467 x 10-3 3.25 4185 60 19.94 983.3 0.1304 2359 1916 0.654 2.99 0.0216 0.433 x 10-3 0.0221 0.404 x 10-4 2346 4187 0.659 65 25.03 980.4 0.1614 1926 2.75 31.19 70 977.5 0.1983 2334 4190 1936 0.663 2.55 0.0225 0.378 x 10-3 0.0230 0.355 x 10-3 2321 1948 1962 0.667 2.38 2.22 75 38.58 974.7 0.2421 4193 80 47.39 971.8 0.2935 2309 4197 0.670 85 1.176 x 10-5 1.193 x 10-5 1.210 x 10-5 1.227 x 10-5 1.261 x 10-5 1.296 x 10-5 1.330 x 10-5 1.365 x 10-5 4201 0.0235 0.333 x 10- 0.0240 0.315 x 10 0.0246 0.297 x 10-3 57.83 968.1 0.3536 2296 1977 0.673 2.08 70.14 1.96 90 965.3 0.4235 2283 4206 1993 0.675 1.85 1.75 95 84.55 961.5 0.5045 2270 4212 2010 0.677 100 101.33 957.9 0.5978 2257 4217 2029 0.679 0.0251 0.282 x 10-3 143.27 0.0262 0.255 x 10-4 0.0275 0.232 x 10-3 0.0288 0.213 x 10-3 0.0301 0.197 x 10-3 0.0316 0.183 x 10-3 0.0331 0.170 x 10 0.0347 0.160 x 10-3 0.0364 0.150 x 10-3 110 950.6 0.8263 2230 4229 2071 0.682 1.58 120 198.53 943.4 1.121 2203 4244 2120 0.683 1.44 270.1 130 934.6 1.496 2174 4263 2177 0.684 1.33 1.24 140 361.3 921.7 1.965 2145 4286 2244 0.683 1.399 x 10-5 1.434 x 10-5 1.468 x 10-5 1.502 x 10-5 1.537 x 10-5 0.947 1.09 2314 150 475.8 916.6 2.546 2114 4311 0.682 1.16 1.02 3.256 1.05 160 617.8 907.4 2083 4340 2420 0.680 1.09 170 791.7 897.7 4.119 2050 4370 2490 0.677 1.03 1.05 180 1,002.1 887.3 5.153 2015 4410 2590 0.673 1,254.4 190 876.4 6.388 1979 4460 2710 0.669 0.0382 0.142 x 10 0.0401 0.134 x 10-3 0.0442 0.122 x 10-3 0.0487 0.111 x 10-3 0.0540 0.102 x 10 0.0605 0.094 x 10-3 1.571 x 10-5 200 1,553.8 864.3 7.852 1941 4500 2840 0.663 11.60 220 2,318 3,344 840.3 1859 4610 3110 0.650 1.712 x 10-5 0.836 1.24 240 813.7 16.73 1767 4760 3520 0.632 783.7 23.69 260 4,688 1663 4970 4070 0.609 280 6,412 750.8 33.15 1544 5280 4835 0.581 1.965 x 10-5 2.084 x 10-5 0.902 1.69 2.950 x 10- 1.00 0.0695 0.086 x 10 0.0836 0.078 x 10-3 0.070 x 10-3 0.060 x 10-a 0.043 x 10-3 300 8,581 11,274 713.8 46.15 1405 5750 5980 0.548 320 667.1 64.57 1239 6540 7900 0.509 1.97 2.255 x 10-5 2.571 x 10-5 4.313 x 10-5 8240 11,870 340 14,586 610.5 92.62 1028 0.469 0.427 0.110 1.23 2.43 528.3 144.0 360 18,651 22,090 720 14,690 25,800 0.178 2.06 3.73 374.14 317.0 317.0