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MHT CET 2026 (15 May, Shift 1) · Gas Laws & Ideal Gas Equation

Gas Laws & Ideal Gas Equation question from MHT CET 2026 (15 May, Shift 1)

Q6MHT CET 2026 · 15 MAY · SHIFT 1Medium

Gas Laws & Ideal Gas Equation

The gas in a vessel is subjected to a pressure of 2020 atm. at 27∘27^\circ C. Now half of the gas is released from the vessel and the temperature is raised by 50∘50^\circ C. The pressure of a gas in a vessel is nearly

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Answer: (c)

  1. Fixed volume: P=nRTV⇒P2P1=n2n1⋅T2T1P = \dfrac{nRT}{V} \Rightarrow \dfrac{P_2}{P_1} = \dfrac{n_2}{n_1}\cdot\dfrac{T_2}{T_1}.
  2. n2=n12n_2 = \dfrac{n_1}{2}, T1=300T_1 = 300 K, T2=350T_2 = 350 K.
  3. P2=20×12×350300=11.67≈12P_2 = 20 \times \dfrac{1}{2} \times \dfrac{350}{300} = 11.67 \approx 12 atm
  4. So the answer is (c) 1212 atm.
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