ME40 HW11 Solutions

ME40 HW11 Solutions - 13-33The masses temperatures and...

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Unformatted text preview: 13-33The masses, temperatures, and pressures of two gases contained in two tanks connected to each other are given. The valve connecting the tanks is opened and the final temperature is measured. The volume of each tank and the final pressure are to be determined.Assumptions Under specified conditions both N2and O2can be treated as ideal gases, and the mixture as an ideal gas mixturePropertiesThe molar masses of N2and O2are 28.0 and 32.0 kg/kmol, respectively. The gas constants of N2and O2are 0.2968 and 0.2598 kPa·m3/kg·K, respectively (Table A-1). Analysis The volumes of the tanks are 33m0.465m0.295=⋅⋅===⋅⋅==kPa500K)K)(298/kgmkPakg)(0.2598(3kPa300K)K)(298/kgmkPakg)(0.2968(13OO3NN2222PmRTPmRTVV333ONtotalm.76m0.465m295.22=+=+=VVVAlso, kmol0.09375kg/kmol32kg3kmol0.03571kg/kmol28kg1222222OOONNN======MmNMmNkmol0.1295kmol0.09375kmol03571.22ON=+=+=NNNmThus, kPa422.2=⋅⋅==33m0.76K)K)(298/kmolmkPa4kmol)(8.31(0.1295mumTNRPV14-21The masses of dry air and the water vapor contained in a room at specified conditions and relative humidity are to be determined. AssumptionsThe air and the water vapor are ideal gases. AnalysisThe partial pressure of water vapor and dry air are determined to be kPa96.5941.198kPa1.41=kPa)811.2)(50.([email protected] =-=-====°vagvPPPPPPφφThe masses are determined to be kg2.47kg272.9=⋅⋅===⋅⋅==K)K)(296/kgmkPa4615.()mkPa)(24041.1(K)K)(296/kgmkPa287.()mkPa)(24059.96(3333TRPmTRPmvvvaaaVV1 kg N225°C 300 kPa 3 kg O225°C 500 kPa ROOM 240 m323°C 98 kPa 50% RH 14-33The dry- and wet-bulb temperatures of air in room at a specified pressure are given. The specific humidity, the The dry- and wet-bulb temperatures of air in room at a specified pressure are given....
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ME40 HW11 Solutions - 13-33The masses temperatures and...

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