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AP EAMCET · PHYSICS · Thermodynamics

A gas is expanded from an initial state to a final state along a path that consists of (a) an isothermal expansion doing \(40 \mathrm{~J}\) work, (b) an adiabatic expansion doing \(\mathrm{W}\) work, (c) an isothermal expansion doing \(30 \mathrm{~J}\) work. If the total change in the internal energy of the gas is \(-20 \mathrm{~J}\), the work done by the gas during the adiabatic expansion \(\mathrm{W}=\)

  1. A \(50 \mathrm{~J}\)
  2. B \(90 \mathrm{~J}\)
  3. C \(70 \mathrm{~J}\)
  4. D \(20 \mathrm{~J}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(20 \mathrm{~J}\)

Step-by-step Solution

Detailed explanation

Isothermal Expansion, In this process temperature remains constant. \(\therefore \Delta \mathrm{V}=0\) Using 1st law of thermodynamics \(\Delta \mathrm{Q}_1=\Delta \mathrm{V}_1+\Delta \mathrm{W}_1\) \(\Delta \mathrm{Q}_1=\Delta \mathrm{W}_1=40 \mathrm{~J}\) ... (1) Adiabatic…
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