Phase Transition ExamplePhase Transition Example (cont.)Slide 3Slide 4Phase Transition ExampleA container having a volume of 2 m3 contains .05 m3 of saturated liquid water and 1.95 m3 of saturated vapor at 0.15 MPa. (a) Determine the amount of heat transfer in order to vaporize all the liquid water in the container. (b) What is the final pressure (at the saturated vapor condition). (c ) What is the quality at the initial state. (Neglect losses)liquidvaporenergy internal :mu U where,)( timerespect to withIntegrate ),(.)relatively small are changes but the changes are (Therechangesenergy potential & kinetic no workexternal no flow work, no :flow No2dtdW2dtdQ:onconservatiEnergy 121221122212UUuumQuumdtdQgzVPumgzVPumPhase Transition Example (cont.)Constant pressure line P=0.15 MPaTVSaturatedliquid lineSaturatedvapor line12Transition from 1: a mixture of liquid and vapor to 2: 100% saturated vapor. It should follow the green line since the volume and the mass both are constants during this process.)(68.11593.195.1),(48.47001053.005.0)/(7.2519),/(94.466)/(1593.1),/(001053.0:are MPa 0.15 of pressurea at properties saturated thep85), 5,-(A le water tabsaturated From1,1,1,1,1,1,31,3f,1kgvVmkgvVmkgkJukgkJukgmvkgmvgggfffgfgPhase Transition Example (cont.)kJ/kg) 2597.1u MPa,5(P)/( 0.03944 vandkJ/kg) 2602.3u MPa,4(P)/( 0.04978 vbetween falls valueThe851. page 5,-A tablesaturation thein upit Look 2. stateat (100%) vapor saturated theof volumespecific theis This)/(0407.016.4905.095.12 stateat vapor saturated all is mixture thesince volume.specific initial theas same theis volumespecific final totaltheunchanged, are mass total theandcontainer theboth since However,1 becomes mixture theofquality theand vaporizeliquid all ,Eventually034.068.148.4768.1mmx :1 stateat Quality (c))(26403)7.2519)(68.1()94.466)(48.47(energy internal TotalBg,B3Bg,Ag,A3Ag,2,2231112,211,f,1g,11,1,1,1,1kgmkgmvmVkgmmVvvvvmkJumumUgggggffPhase Transition Example (cont.))(299,101264039.127702)()(9.127702)7.2597(16.49)/(7.2597)04978.00407.0(04978.003944.3.26021.2597)3.2602()(:ioninterpolat theusing determined be canenergy internal theSimilarly,)()(878.4)04978.00407.0(04978.003944.454)()(:as edinterpolat be can 2 state saturated at the pressure theexample,For values. tabulatedbetween value thedetermine toioninterpolatlinear
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