JEE Mains · Chemistry · STD 11 - 5. Thermodynamics and thermochemistry
Arrange the following isothermal processes in order of the magnitude of the work (\(p - V\)) involved between states \(1\) and \(2\).
A. Expansion in single stage \(w_A\)
B. Expansion in multi stages \(w_B\)
C. Compression in single stage \(w_C\)
D. Compression in multi stages \(w_D\)
Choose the correct option.
- A \(|w_B| > |w_A| > |w_C| > |w_D|\)
- B \(|w_C| > |w_D| > |w_A| > |w_B|\)
- C \(|w_C| > |w_D| > |w_B| > |w_A|\)
- D \(|w_B| > |w_A| > |w_D| > |w_C|\)
Answer & Solution
Correct Answer
(C) \(|w_C| > |w_D| > |w_B| > |w_A|\)
Step-by-step Solution
Detailed explanation
Let State \(1\) have pressure \(P_1\) and volume \(V_1\), and State \(2\) have pressure \(P_2\) and volume \(V_2\). For an isothermal expansion, \(V_2 > V_1\) and \(P_1 > P_2\). For expansion from State \(1\) to State \(2\): In a single-stage expansion, the external pressure is…
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