Single Phase Regions Example Properties associated with superheated water vapor at 10 MPa and 400oC are found in Table A 4 v 0 02641 m3 kg h 3096 5 kJ kg u 2832 4 kJ kg s 6 2120 kJ kg K Table A 4 T C o v m kg u kJ kg 3 h kJ kg s kJ kg K p 80 bar 8 0 MPa Tsat 295 06oC v m kg 3 u kJ kg h kJ kg s kJ kg K p 100 bar 10 0 MPa Tsat 311 06oC Sat 320 360 0 02352 0 02682 0 03089 2569 8 2662 7 2772 7 2758 0 2877 2 3019 8 5 7432 5 9489 6 1819 0 01803 0 01925 0 02331 2544 4 2588 8 2729 1 2724 7 2781 3 2962 1 5 6141 5 7103 6 0060 400 440 480 0 03432 0 03742 0 04034 2863 8 2946 7 3025 7 3138 3 3246 1 3348 4 6 3634 6 5190 6 6586 0 02641 0 02911 0 03160 2832 4 2922 1 3005 4 3096 5 3213 2 3321 4 6 2120 6 3805 6 5282 Linear Interpolation When a state does not fall exactly on the grid of values provided by property tables linear interpolation between adjacent entries is used Example Specific volume v associated with superheated water vapor at 10 bar and 215oC is found by linear interpolation between adjacent entries in Table A 4 0 2275 0 2060 m3 kg v 0 2060 m3 kg slope 240 200 oC 215 200 oC v 0 2141 m3 kg Table A 4 T C o v m kg 3 u kJ kg h kJ kg s kJ kg K p 10 bar 1 0 MPa Tsat 179 91oC Sat 200 240 0 1944 0 2060 0 2275 2583 6 2621 9 2692 9 2778 1 2827 9 2920 4 6 5865 6 6940 6 8817 Two Phase Liquid Vapor Region Example A system consists of a two phase liquid vapor mixture of water at 6oC and a quality of 0 4 Determine the specific volume in m3 kg of the mixture v vf x vg vf Solution Apply Substituting values from Table 2 vf 1 001 10 3 m3 kg and vg 137 734 m3 kg v 1 001 10 3 m3 kg 0 4 137 734 1 001 10 3 m3 kg v 55 094 m3 kg Table A 2 Temp o C Press bar 01 4 5 6 8 0 00611 0 00813 0 00872 0 00935 0 01072 Specific Volume m kg 3 Sat Liquid Sat Vapor vf 103 1 0002 1 0001 1 0001 1 0001 1 0002 vg 206 136 157 232 147 120 137 734 120 917 Internal Energy kJ kg Sat Sat Liquid Vapor Sat Liquid uf 0 00 16 77 20 97 25 19 33 59 hf 0 01 16 78 20 98 25 20 33 60 ug 2375 3 2380 9 2382 3 2383 6 2386 4 Enthalpy kJ kg Evap Sat Vapor Entropy kJ kg K Sat Sat Liquid Vapor hfg 2501 3 2491 9 2489 6 2487 2 2482 5 hg 2501 4 2508 7 2510 6 2512 4 2516 1 sf 0 0000 0 0610 0 0761 0 0912 0 1212 sg 9 1562 9 0514 9 0257 9 0003 8 9501 Temp o C 01 4 5 6 8
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