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A gas is filled in a cylinder. Its temperature is increased by 20 % on the Kelvin scale and volume is reduced by 10 % . How much percentage of the gas has to leak for pressure to remain constant?

Options

  1. A30 %
  2. B40 %
  3. C15 %
  4. D25 %

Correct answer

D. 25 %

Step-by-step solution

V   ∝ μ T ,     90 100 V ∝ μ ′ 6 T 5 μ ′ μ × 6 5 = 9 10   o r   μ ′ μ = 9 10 × 5 6 = 3 4 Percentage of gas leaked out = μ - μ ′ μ × 100 = 4 - 3 4 × 100 = 25 %

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