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A gas having \(\gamma = \frac{5}{2}\) and volume 360 cc is suddenly compressed to 90 cc. If the initial pressure of the gas is \(P\), find the final pressure.
A gas having \(\gamma = \frac{5}{2}\) and volume 360 cc is suddenly compressed to 90 cc. If the initial pressure of the gas is \(P\), find the final pressure.
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The keyword "suddenly" always implies an adiabatic process. Use \(PV^\gamma = \text{const}\). If the compression were "slow", it would be isothermal, and you would use \(PV = \text{const}\), which would give a final pressure of only \(4P\).
Updated On: Apr 11, 2026
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