In the diagrams (i) to (iv),the variation of | vedclass

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(D) The internal energy $(U)$ of an ideal gas is a state function,which depends only on the temperature of the gas. In a cyclic process,the system ret

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Zero in all four cases

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(D) The internal energy $(U)$ of an ideal gas is a state function,which depends only on the temperature of the gas. In a cyclic process,the system returns to its initial state,meaning the initial and final temperatures are the same $(T_i = T_f)$. Since the change in internal energy $\Delta U = nC_v\Delta T$ and $\Delta T = 0$ for a complete cycle,the change in internal energy for any cyclic process is always zero. In all four diagrams $(i)$ to $(iv)$,the path $ABCD$ forms a closed loop,representing a cyclic process. Therefore,the change in internal energy is zero in all four cases.

In the diagrams $(i)$ to $(iv)$,the variation of volume with changing pressure is shown. $A$ gas is taken along the path $ABCD$. The change in internal energy of the gas will be:

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