(mathrm{N}_{2}) is contained in a cylinder of (30 mathrm{~L}) capacity at (75 mathrm{~atm}) and (30^{circ} mathrm{C}). Suddenly...

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\(\mathrm{N}_{2}\) is contained in a cylinder of \(30 \mathrm{~L}\) capacity at \(75 \mathrm{~atm}\) and \(30^{\circ} \mathrm{C}\). Suddenly a valve is opened to release \(\mathrm{N}_{2}\) into the atmosphere. As a result, the pressure of the cylinder drops and finally reaches \(5 \mathrm{~atm}\). What is the temperature of the gas in the cylinder? Assume that nitrogen behaves ideally and take \(\gamma=1.4\).

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