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Concepts Of Physics MCQ Edition [Volume 2]PhysicsKinetic Theory of Gases

A vessel holds 1.60 g of oxygen and 2.80 g of nitrogen. The temperature is kept at 300 K and the volume of the vessel is 0.166 m ^3 . Determine the pressure of the mixture.

Options

  1. A2250 N/m ^2
  2. B3750 N/m ^2
  3. C1500 N/m ^2
  4. D3000 N/m ^2

Correct answer

A. 2250 N/m ^2

Step-by-step solution

Number of moles of oxygen, n_ O₂ = 1.60 32 = 0.05 mol Number of moles of nitrogen, n_ N₂ = 2.80 28 = 0.10 mol Total number of moles in the mixture, n = n_ O₂ + n_ N₂ = 0.05 + 0.10 = 0.15 mol Using the ideal gas equation, PV = nRT P = nRT V Substituting the given values and taking R = 8.3 J mol ⁻¹ K ⁻¹ : P = 0.15 8.3 300 0.166 P = 373.5 0.166 = 2250 N/m ^2

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