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MHT CET 2024 (11 May, Shift 1) · Gas Laws & Ideal Gas Equation

Gas Laws & Ideal Gas Equation question from MHT CET 2024 (11 May, Shift 1)

Q37MHT CET 2024 · 11 MAY · SHIFT 1Medium

Gas Laws & Ideal Gas Equation

Two vessels separately contain two ideal gases A and B at the same temperature, pressure of A being twice that of B. Under such conditions, the density of A is found to be 1.5 times the density of BB. The ratio of molecular weights of AA and BB is

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Answer: (c)

  1. ρ=PMRT⇒M∝ρP\rho = \frac{PM}{RT} \Rightarrow M \propto \frac{\rho}{P} at the same TT.
  2. MAMB=ρAρB⋅PBPA=1.5×12=34\frac{M_A}{M_B} = \frac{\rho_A}{\rho_B}\cdot\frac{P_B}{P_A} = 1.5 \times \frac{1}{2} = \frac{3}{4}.
  3. So the answer is (c) 3:43 : 4.
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