A perfect gas (not air) expands isentropically through a supersonic nozzle with an exit area 5 times

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A perfect gas (not air) expands isentropically through a supersonic nozzle with an exit area 5 times its throat area. The exit Mach number is 3.8. What is the specific heat ratio of the gas? What might this gas be? If po = 300 kPa, what is the exit pressure of the gas?
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