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JEE Advanced2013PhysicsKinetic Theory of GasesActual

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

Options

  1. A1 : 4
  2. B1 : 2
  3. C6 : 9
  4. D8 : 9

Correct answer

D. 8 : 9

Step-by-step solution

Given, m A m B = 2 3 ​ ∵    Volume and temperature is same. From ideal gas equation, P V = n R T P n  =  constant P A n A = P B n B ⇒ n A n B = P A P B = 4 3 Also, density, ρ = M V ρ A ρ B = M A / v M B / v = n A m A n B m B = 4 3 × 2 3 = 8 9 .

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