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For an ideal gas, consider only P – V work is going from are initial state X to the final state Z. the
final state Z can be reached by either of the two paths shown in the figure. Which of the
following choice (s) is (are) correct (Take $Δ S$ as charge in entropy and was work done.

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$Δ S_{X \to Y} = Δ S_{X \to Y} + Δ S_{Y \to Z}$

$W_{X \to Z} = W_{X \to Y} + W_{Y \to Z}$

$W_{X \to Y \to Z} = W_{X \to Y}$

$Δ S_{X \to Y \to Z} = Δ S_{X \to Y}$

answer is A, C.

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Detailed Solution

${ΔS}_{X \to Y} {= ΔS}_{X \to Y} {+ ΔS}_{Y \to Z} (state function)$

$W_{X \to Z} {= W}_{X \to Y} {+ W}_{Y \to Z} (incorrect) not a state function$

$W_{X \to Y \to Z} {= W}_{X \to Y} (correct) (If is a state funtion)$

${ΔS}_{X \to Y \to Z} {= ΔS}_{X \to Y} (In correct)$

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