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MHT CET 2026 (19 Apr, Shift 2) · Gas Laws & Ideal Gas Equation

Gas Laws & Ideal Gas Equation question from MHT CET 2026 (19 Apr, Shift 2)

Q13MHT CET 2026 · 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 'V'. 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 at start n1=PVRTn_1 = \frac{PV}{RT}; after leakage n2=P′VRTn_2 = \frac{P'V}{RT} (VV, TT same).
  2. Leaked moles =n1−n2=VRT(P−P′)= n_1 - n_2 = \frac{V}{RT}(P - P').
  3. So the answer is (b) VRT(P−P′)\frac{V}{RT}(P - P').
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