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MHT CET 2026 (19 May, Shift 2) · P-V Diagrams & Cyclic Processes

P-V Diagrams & Cyclic Processes question from MHT CET 2026 (19 May, Shift 2)

Q17MHT CET 2026 · 19 MAY · SHIFT 2Difficult

P-V Diagrams & Cyclic Processes

One mole of diatomic ideal gas undergoes a cyclic process ABC as shown in the figure. The process BC is adiabatic. The temperatures at A, B and C are 400400 K, 800800 K and 600600 K, respectively. The correct statement is

Figure

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Answer: (d)

  1. Diatomic gas: ΔU=nCVΔT\Delta U = nC_V\Delta T with CV=52RC_V = \frac{5}{2}R, n=1n = 1.
  2. BC: ΔU=52R(600−800)=−500R\Delta U = \frac{5}{2}R(600 - 800) = -500R.
  3. Check others: whole cycle ΔU=0\Delta U = 0; CA: 52R(−200)=−500R\frac{5}{2}R(-200) = -500R; AB: 52R(400)=+1000R\frac{5}{2}R(400) = +1000R.
  4. So the answer is (d).
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