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For an ideal gas, consider only (p-V) work on going from initial state \( A \) to final state \( C \). The final state \( C \) can be reached by either of two paths as shown below. Which of the option is correct? (Take \( \Delta .5 \) as change in entropy and was work done.)
(a) \( \Delta . S_{A} \rightarrow C=\Delta . S_{A} \rightarrow B+\Delta . S B_{B}+C \)
(b) \( W_{A} \rightarrow B \rightarrow C=W \boldsymbol{A}_{A} \rightarrow B \)
(c) \( W_{A} \rightarrow B \rightarrow C=W_{A} \rightarrow B+W_{B} \rightarrow C \)
(d) Both (a) and (b)
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