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Question: an inventor claims to be able to separate a mixture...

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An inventor claims to be able to separate a mixture of nitrogen and hydrogen in an adiabatic steady flow device. The mixture enters at 354 K and 490 kPa. The flow rate of the pure nitrogen at the exit of the device is 1 kmole/s and it leaves the device at 200 C and 500 kPa. The hydrogen flow rate is 2 kmole/s and it leaves the device at 500 kPa. If the device requires no work transfer determine the required exiting temperature of the hydrogen if the first law of thermodynamics and conservation of mass is to be satisfied. Determine whether this process (without heat or work transfer) is possible, by checking whether the second law of thermodynamics is also satisfied. Assume ideal gas behavior and constant specific heats with cp H2 = 28.6 kJ/(kmole-K), cpN2 = 29.4 kJ/(kmole-K). Ans. T = 19.8 C, not possible

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