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(C) The change in internal energy $\Delta U$ for an ideal gas is given by the formula $\Delta U = n C_V \Delta T$. Since $C_V = R/(\gamma - 1)$,we hav

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$pV/(\gamma - 1)$

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(C) The change in internal energy $\Delta U$ for an ideal gas is given by the formula $\Delta U = n C_V \Delta T$. Since $C_V = R/(\gamma - 1)$,we have $\Delta U = n (R/(\gamma - 1)) \Delta T$. Using the ideal gas law $pV = nRT$,at constant pressure $p$,we have $p \Delta V = nR \Delta T$. Substituting $n R \Delta T = p \Delta V$ into the equation,we get $\Delta U = p \Delta V / (\gamma - 1)$. Given the volume changes from $V$ to $2V$,the change in volume is $\Delta V = 2V - V = V$. Therefore,$\Delta U = pV / (\gamma - 1)$.

If the ratio of specific heat of a gas at constant pressure to that at constant volume is $\gamma$,the change in internal energy of a mass of gas,when the volume changes from $V$ to $2V$ at constant pressure $p$,is

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