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MHT CET 2025 (19 Apr, Shift 2) · Gas Laws & Ideal Gas Equation

Gas Laws & Ideal Gas Equation question from MHT CET 2025 (19 Apr, Shift 2)

Q28MHT CET 2025 · 19 APR · SHIFT 2Medium

Gas Laws & Ideal Gas Equation

An ideal gas at pressure ' P ' and temperature ' T ' is enclosed in a vessel of volume ' VV '. Some gas leaks through a hole from the vessel and the pressure of the enclosed gas falls to ' P′P' '. Assuming that the temperature of the gas remains constant during the leakage, the number of moles of the gas that have leaked is

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Answer: (b)

  1. Moles before =PVRT= \frac{PV}{RT}, after =P′VRT= \frac{P'V}{RT} (same VV and TT).
  2. Leaked =VRT(P−P′)= \frac{V}{RT}(P - P').
  3. So the answer is (b) VRT(P−P′)\frac{V}{RT}(P - P').
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