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A gas that behaves as randomly moving, non-interacting molecules. This allows a simplified equation of state.

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Work Done by an Adiabatic Expansion

$PV^\gamma=\rm constant$ for adiabats,so use $$ W=\int\frac{\rm const}{V^γ} dV $$ then recall that the constant in the integration is $PV^\gamma$. You should get $$ \frac{1}{(1-\gamma)}(PV) $$ evalu …
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