Verified Solution • 2025–26 Session moderate

QPages 76-77: Q12: HC Verma: Concepts of Physics - Volume 2 Specific Heat Capacities of Gases Pages 76-77: Q12 Solution: Let and be the work done by the systems A and B, respectively,…

⚠️ Common Exam Traps & Conceptual Pitfalls

Students often assume that work depends only on the change in volume and thus treat isothermal and adiabatic expansions to the same final volume as equal; they forget that work is path‑dependent and that the higher pressure throughout an isothermal process yields greater $W=\int PdV$ than an adiabatic one.

Let ΔWa\Delta W_a and ΔWb\Delta W_b be the work done by the systems A and B, respectively, in the previous question.

Multiple Choice Options

  • A ΔWa>ΔWb\Delta W_a > \Delta W_b
  • B ΔWa=ΔWb\Delta W_a = \Delta W_b
  • C ΔWa<ΔWb\Delta W_a < \Delta W_b
  • D The relation between ΔWa\Delta W_a and ΔWb\Delta W_b cannot be deduced.

Step-by-Step Verified Solution

**Answer:** (c) _W_a < _W_b. **Step-by-Step Explanation:** For the same final volume, the isothermal process does more work than the adiabatic process (since pressure is higher throughout). So _W_a < _W_b.

All Questions in this Chapter

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