The difference between volume and pressure co | vedclass

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Question

(D) For an ideal gas,the equation of state is given by $PV = nRT$.For a constant volume process,the pressure coefficient $\beta_P$ is defined as $\bet

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zero

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(D) For an ideal gas,the equation of state is given by $PV = nRT$.For a constant volume process,the pressure coefficient $\beta_P$ is defined as $\beta_P = \frac{1}{P} (\frac{\partial P}{\partial T})_V = \frac{1}{T}$.For a constant pressure process,the volume coefficient $\beta_V$ is defined as $\beta_V = \frac{1}{V} (\frac{\partial V}{\partial T})_P = \frac{1}{T}$.Since both coefficients are equal to $\frac{1}{T}$,their difference $\beta_V - \beta_P$ is equal to zero.

The difference between volume and pressure coefficients of an ideal gas is

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