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JEE Main 2024 (1 Feb, Shift 2) · Thermodynamic Processes

Thermodynamic Processes question from JEE Main 2024 (1 Feb, Shift 2)

Q99JEE Main 2024 · 1 FEB · SHIFT 2Medium

Thermodynamic Processes

A diatomic gas (γ=1.4)(\gamma = 1.4) does 200 J200\text{ J} of work when it is expanded isobarically. The heat given to the gas in the process is:

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Answer: (c)

  1. Isobaric: QW=nCpΔTnRΔT=γγ−1\dfrac{Q}{W} = \dfrac{nC_p\Delta T}{nR\Delta T} = \dfrac{\gamma}{\gamma - 1}.
  2. γγ−1=1.40.4=3.5\dfrac{\gamma}{\gamma - 1} = \dfrac{1.4}{0.4} = 3.5
  3. Q=3.5×200=700 JQ = 3.5 \times 200 = 700\text{ J}
  4. So the answer is (c) 700 J700\text{ J}.
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