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

The temperature and pressure at Darjeeling are 15.0^ C and 72.0 cm of mercury, while at Siliguri they are 35.0^ C and 76.0 cm of mercury. Determine the ratio of the air density at Siliguri to the air density at Darjeeling.

Options

  1. A0.886
  2. B1.129
  3. C1.013
  4. D0.987

Correct answer

D. 0.987

Step-by-step solution

Using the ideal gas equation, P = R T M = P M R T P T For Darjeeling: P₁ = 72.0 cm of Hg T₁ = 15.0^ C = 288 K For Siliguri: P₂ = 76.0 cm of Hg T₂ = 35.0^ C = 308 K Ratio of density at Siliguri to Darjeeling is: ₂ ₁ = P₂ P₁ T₁ T₂ ₂ ₁ = 76.0 72.0 288 308 ₂ ₁ = 19 18 72 77 = 76 77 0.987

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