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JEE Advanced 2013 · Paper 1, Physics question 4

Two non-reactive monoatomic ideal gases have their atomic masses in the ratio 2 : 3. The ratio of their partial pressures, when enclosed in a vessel kept at a constant temperature, is 4 : 3. The ratio of their densities is

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Answer and worked solution

Official answer: D

Density of each gas. ρ=PMRT\rho=\dfrac{PM}{RT}, so at the same temperature ρ1ρ2=P1M1P2M2=4×23×3=89\dfrac{\rho_1}{\rho_2}=\dfrac{P_1M_1}{P_2M_2}=\dfrac{4\times2}{3\times3}=\dfrac89.

(D)

Topics:Ideal gas equation
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