A vortex tube is used to separate an ideal gas at 10 bar


Question: A vortex tube is used to separate an ideal gas at 10 bar and 375 K such that half the gas is collected in a cool stream at 1 bar and 255 K and the other half becomes a hot stream at 1 bar and 495 K. Assuming the process is adiabatic: is this process possible? Assume the heat capacity of the ideal gas is (7/2)R.

Part A: What is the maximum possible temperature difference between the hot and cold streams?

I want help to determine the maximum possible temperature difference between the hot and cold streams.

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Physics: A vortex tube is used to separate an ideal gas at 10 bar
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