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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

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$\frac{R}{P_{0} V_{0}}$

$\frac{P_{0} V_{0}}{R}$

$\frac{1}{T_{0}}$

$\frac{1}{{nT}_{0}}$

answer is C.

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Detailed Solution

$PV = nRT$

$PdV = nRdT$

$γ = \frac{1}{V} \frac{dV}{dT} and \frac{dV}{dT} = \frac{nR}{P} . γ = \frac{1}{T}$

For given temperature $T_{0} . γ = \frac{1}{T_{0}}$

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