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
- A800 kPa
- B100 kPa
- C400 kPa
- 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 .