On which does the value of alpha_V depend for | vedclass

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(C) For an ideal gas,the equation of state is given by $PV = nRT$.At constant pressure,$V = (nR/P)T$.The coefficient of volume expansion $\alpha_V$ is

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Temperature

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(C) For an ideal gas,the equation of state is given by $PV = nRT$.At constant pressure,$V = (nR/P)T$.The coefficient of volume expansion $\alpha_V$ is defined as $\alpha_V = \frac{1}{V} (\frac{\partial V}{\partial T})_P$.Substituting the expression for $V$,we get $\alpha_V = \frac{1}{V} (\frac{nR}{P}) = \frac{1}{V} (\frac{V}{T}) = \frac{1}{T}$.Thus,the value of $\alpha_V$ depends only on the temperature $T$ and is inversely proportional to it.

On which does the value of $\alpha_V$ depend for an ideal gas?

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