For an ideal gas, consider only P-V work in going from an initial state X to the final…

Chemistry · JEE Advanced · NTA Exams — Chemical Thermodynamics

For an ideal gas, consider only P-V work in going from an 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 ΔS as change in entropy and w as work done]
  1. DSX→Z = DSX→Y + DSY→Z
  2. wX→Z = wX→Y + wY→Z
  3. wX→Y →Z = wX→Y
  4. DSX→Y→Z = DSX→Y

Answer

(A) D S X → Z = D S X → Y + D S Y → Z

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