• # question_answer Thermal coefficient of volume expansion at constant pressure for an ideal gas sample of n moles having pressure ${{P}_{0}}$ volume ${{V}_{0}}$ and temperature ${{T}_{0}}$ is A) $\frac{R}{{{P}_{0}}{{V}_{0}}}$ B) $\frac{{{P}_{0}}{{V}_{0}}}{R}$ C) $\frac{1}{{{T}_{0}}}$ D) $\frac{1}{n\,{{T}_{0}}}$

 $PV=nRT$ $PdV=nRdT$ $\gamma =\frac{1}{V}\frac{dV}{dT}$and         $\frac{dV}{dT}=\frac{nR}{P}$ $\gamma =\frac{1}{T}$ For given temperature ${{T}_{0}},$        $\gamma =\frac{1}{{{T}_{0}}}$