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MHT CET 2025 (25 Apr, Shift 2) · Thermodynamic Processes

Thermodynamic Processes question from MHT CET 2025 (25 Apr, Shift 2)

Q71MHT CET 2025 · 25 APR · SHIFT 2Medium

Thermodynamic Processes

A sample of an ideal gas (γ=53)\left(\gamma = \frac{5}{3}\right) is heated at constant pressure. If 100 J of heat is supplied to the gas, the work done by the gas is

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Answer: (c)

  1. Isobaric: WQ=RCp=γ−1γ\dfrac{W}{Q} = \dfrac{R}{C_p} = \dfrac{\gamma - 1}{\gamma}.
  2. γ−1γ=2/35/3=25\dfrac{\gamma - 1}{\gamma} = \dfrac{2/3}{5/3} = \dfrac{2}{5}
  3. W=25×100=40 JW = \dfrac{2}{5} \times 100 = 40\text{ J}
  4. So the answer is (c) 40 J.
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