Initially 10 kg of saturated liquid water at 400 K and 2 kg of saturated water vapor at 300 K are together in a sealed, constant volume adiabatic container. After a time the water adjusts to a uniform state within the tank. What are the pressure and temperature in this final state, and what are the final volumes of the liquid and vapor? The graphs in Appendix A.3 may be used along with the tables in solving this problem.

Data From Appendix A.3

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T/ h/ K 855 860 865 870 875 u/ kJ/kg kJ/kg 1042.1 796.6 8.9317 1047.6 800.7 8.9382 1053.2 804.9 8.9446 8.9510 813.1 8.9574 1058.7 809.0 1064.3 880 1069.9 817.3 8.9638 885 1075.4 821.4 8.9701 890 1081.0 825.5 8.9764 895 1086.6 829.7 8.9826 900 1092.2 833.8 905 1097.8 838.0 910 915 920 925 930 935 $/ kJ/(kg.K) 8.9889 8.9951 1103.4 842.2 9.0012 1109.0 846.4 9.0074 1114.6 850.5 9.0135 1120.2 854.7 9.0196 1125.9 858.9 9.0256 1131.5 863.1 9.0317 9.0377 9.0437 940 1137.1 867.3 945 1142.8 871.5 950 1148.4 875.7 955 1154.1 879.9 9.0496 9.0556 4/ kJ/(kg. K) 5.3689 5.3737 5.3785 5.3833 5.3880 5.3927 5.3974 5.4021 5.4067 5.4114 5.4160 5.4206 5.4252 5.4297 5.4342 5.4388 5.4433 5.4477 5.4522 5.4566 5.4611 Pr Vr Cp / Cu / kJ/(kg. K) kJ/(kg .K) 1.109 0.822 3254 75.43 3328 74.18 1.110 3404 72.95 1.112 3481 71.76 1.113 3559 70.58 1.114 3638 69.43 1.115 3719 68.31 1.116 3802 67.20 1.117 3885 66.12 1.118 3971 65.07 4057 64.03 4146 63.01 1.121 4235 62.02 1.122 4327 61.04 1.123 4419 60.08 1.124 4514 59.15 1.125 4610 58.23 1.126 4707 57.33 1.127 4806 56.44 1.128 4907 55.58 1.129 5009 54.73 1.130 1.119 1.120 0.823 0.824 0.826 0.827 0.828 0.829 0.830 0.831 0.832 0.833 0.834 0.835 0.836 0.837 0.838 0.839 0.840 0.841 0.842 0.843 Y 1.349 1.349 1.348 1.348 1.347 1.347 1.346 1.346 1.345 1.345 1.345 1.344 1.344 1.343 1.343 1.342 1.342 1.342 1.341 1.341 1.340