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Concepts Of Physics MCQ Edition [Volume 2]PhysicsSpecific Heat Capacities of Gases

During an isothermal process on an ideal gas, the pressure rises by 0.5 % . The volume decreases by approximately

Options

  1. A0.7 %
  2. B0.25 %
  3. C0.5 %
  4. D1 %

Correct answer

C. 0.5 %

Step-by-step solution

For an isothermal process on an ideal gas, the product of pressure and volume is constant. PV = constant Differentiating both sides, we get: P , dV + V , dP = 0 dV V = - dP P Multiplying by 100 to get the percentage change: dV V 100 = - ( dP P 100 ) Given that the pressure rises by 0.5 % , we have dP P 100 = 0.5 % . dV V 100 = -0.5 % The negative sign indicates a decrease in volume. Therefore, the volume decreases by approximately 0.5 % .

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