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MHT CET 2025 (22 Apr, Shift 2) · Gas Laws & Ideal Gas Equation

Gas Laws & Ideal Gas Equation question from MHT CET 2025 (22 Apr, Shift 2)

Q24MHT CET 2025 · 22 APR · SHIFT 2Medium

Gas Laws & Ideal Gas Equation

When the pressure of the gas contained in a closed vessel is increased by 2.3%2.3\%, the temperature of the gas increases by 4 K. The initial temperature of the gas is

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Answer: (c)

  1. Closed vessel: P∝T⇒ΔPP=ΔTTP \propto T \Rightarrow \dfrac{\Delta P}{P} = \dfrac{\Delta T}{T}.
  2. 0.023=4T⇒T=40.023≈1740.023 = \dfrac{4}{T} \Rightarrow T = \dfrac{4}{0.023} \approx 174 K
  3. No option matches exactly; with 2.5%2.5\% the result is 40.025=160\dfrac{4}{0.025} = 160 K.
  4. So the intended answer is (c) 160 K.
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