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

Vessel A possesses a volume V while vessel B possesses a volume 2V . Both hold some water that maintains a constant volume. The pressure in the space above the water is p_a for vessel A and p_b for vessel B .

Options

  1. Ap_a = p_b
  2. Bp_a = 2p_b
  3. Cp_b = 2p_a
  4. Dp_b = 4p_a

Correct answer

A. p_a = p_b

Step-by-step solution

The space above the water in both vessels contains water vapor in equilibrium with the liquid water. The pressure exerted by this vapor is the saturated vapor pressure of water. Saturated vapor pressure of a liquid depends only on the temperature and the nature of the liquid. It is independent of the volume of the liquid or the volume of the container as long as both liquid and vapor phases coexist. Since the temperature is assumed to be the same for both vessels, the saturated vapor pressure will be identical in b

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