Question

A gas has pressure P and volume V It is now compressed adiabatically to 1/32 times the original volume. Given that (32)^1.4 = 128, the final pressure is

Easy

Solution

$\begin{array}{l} {PV}^{γ} = P_{1} (V / 32)^{γ} \\ or P_{1} = (32)^{γ} P = (32)^{1 \cdot 4} P = 128 P \end{array}$

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