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# PS3Sol - ME 212 PS 3 Solution 1 The masses temperatures and...

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1 ) The 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 N 2 and O 2 can be treated as ideal gases, and the mixture as an ideal gas mixture Properties The molar masses of N 2 and O 2 are 28.0 and 32.0 kg/kmol, respectively (Table A-1) Analysis The volumes of the tanks are 3 3 m 0.465 m 0.295 kPa 500 K) K)(298 /kg m kPa kg)(0.2598 (3 kPa 300 K) K)(298 /kg m kPa kg)(0.2968 (1 3 O O 3 N N 2 2 2 2 P mRT P mRT V V 3 kg O 2 25 C 500 kPa 1 kg N 2 25 C 300 kPa 3 3 3 O N total m .76 0 m 0.465 m 295 . 0 2 2 V V V Also, kmol 0.09375 kg/kmol 32 kg 3 kg 3 kmol 0.03571 kg/kmol 28 kg 1 kg 1 2 2 2 2 2 2 2 2 O O O O N N N N M m N m M m N m kmol 0.1295 kmol 0.09375 kmol 03571 . 0 2 2 O N N N N m Thus, kPa 422.2 3 3 m 0.76 K) K)(298 /kmol m kPa 4 kmol)(8.31 (0.1295 m u m T NR P V

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2 ) An equimolar mixture of helium and argon gases expands in a turbine. The isentropic work output of the turbine is to be determined. Assumptions 1 Under specified conditions both He and Ar can be treated as ideal gases, and the mixture as an ideal gas mixture. 2 The turbine is insulated and thus there is no heat transfer. 3 This is a steady-flow process. 4 The kinetic and potential energy changes are negligible.
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