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- [(a)]~ Derive relations similar to $Pv^{\gamma}=$ const., $\theta v^{\gamma-1}=$ const. for a Van der Waals gas.\\
- [(b)]~ Compute the work done in a reversible adiabatic expansion by direct evaluation of $\int P dv$ and by the use of energy equation \begin{eqnarray} u = C_v\theta -~{a\over v}~+ \text{const.}&\hfill{[4+4]} \end{eqnarray}
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