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MHT CET202525 Apr 2025Morning ShiftPhysicsKinetic Theory of GasesActual

The volume of given mass of a gas is increased by 7% at constant temperature. The pressure should be decreased by

Options

  1. A7 %
  2. B14 %
  3. C6.54 %
  4. D14 52 %

Correct answer

C. 6.54 %

Step-by-step solution

For an ideal gas at constant temperature, pressure and volume are inversely related by Boyle's Law: P₁V₁ = P₂V₂ . A volume increase of 7 % gives V₂ = 1.07V₁ . Substituting into Boyle's Law: P₁V₁ = P₂(1.07V₁) P₂ = P₁ 1.07 The percentage decrease in pressure is calculated as: P₁ - P₂ P₁ 100 % = (1 - 1 1.07 ) 100 % = 0.07 1.07 100 % 6.54 % Thus, the pressure decreases by approximately 6.54 % .

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