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

A gas is maintained in an isothermal container at a pressure of 200 kPa . When half of the gas is removed from the container, the new pressure becomes

Options

  1. A800 kPa
  2. B100 kPa
  3. C400 kPa
  4. D200 kPa

Correct answer

B. 100 kPa

Step-by-step solution

From the ideal gas equation, PV = nRT . Since the gas is in an isothermal container, the temperature T and volume V remain constant. This implies that pressure is directly proportional to the number of moles of the gas, P n . When half of the gas is removed, the number of moles becomes half of its initial value, n₂ = n₁ 2 . Therefore, the new pressure P₂ will be half of the initial pressure P₁ . P₂ = P₁ 2 = 200 kPa 2 = 100 kPa .

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