An ideal gas is expanding such that $\mathrm{PT}^2=$ constant. The coefficient of volume expansion of the gas is
IIT 2008, Easy
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$\gamma=\frac{1}{V}\left(\frac{d V}{d T}\right) $
$ \mathrm{PT}^2=\text { constant } $
$ \frac{\mathrm{nRT}}{\mathrm{V}} \mathrm{T}^2=\text { constant } $
$ \therefore \quad \gamma=\frac{3}{\mathrm{~T}}$
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