Which of the following expressions is true fo | vedclass

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(C) For an ideal gas,the internal energy $U$ is a function of temperature only,i.e.,$U = f(T)$.Therefore,the change in internal energy with respect to

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$\left( \frac{\partial U}{\partial V} \right)_T = 0$

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(C) For an ideal gas,the internal energy $U$ is a function of temperature only,i.e.,$U = f(T)$.Therefore,the change in internal energy with respect to volume at constant temperature is zero:$\left( \frac{\partial U}{\partial V} ight)_T = 0$.Let us evaluate the other options:$1$. From the ideal gas equation $PV = nRT$,we have $\left( \frac{\partial V}{\partial T} ight)_P = \frac{nR}{P} 
eq 0$.$2$. From the ideal gas equation $PV = nRT$,we have $\left( \frac{\partial P}{\partial T} ight)_V = \frac{nR}{V} 
eq 0$.$3$. $\left( \frac{\partial U}{\partial T} ight)_V = C_V 
eq 0$ (for a non-zero heat capacity).Thus,the correct expression is $\left( \frac{\partial U}{\partial V} ight)_T = 0$.

Which of the following expressions is true for an ideal gas?

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