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

In a vessel of volume 0.02 m ^3 , 2 g of hydrogen is sealed and maintained at 300 K . Determine the pressure inside the vessel.

Options

  1. A1.24 10^4 Pa
  2. B2.48 10^5 Pa
  3. C1.24 10^5 Pa
  4. D6.20 10^4 Pa

Correct answer

C. 1.24 10^5 Pa

Step-by-step solution

Volume V = 0.02 m ^3 Mass of hydrogen gas m = 2 g Molar mass of hydrogen gas M = 2 g/mol Number of moles n = m M = 2 2 = 1 mol Temperature T = 300 K Using the ideal gas equation PV = nRT P = nRT V Substituting the given values: P = 1 8.314 300 0.02 P = 1.247 10^5 Pa The closest value among the options is 1.24 10^5 Pa .

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