Statement 1: The total kinetic energy of vapours formed over liquid water in closed container A and B having free space 1 l and 2 l, respectively, over water at the same temperature is in the ratio 1:2, assuming ideal behaviour of vapours.
Statement 2: Vapour pressure of a pure substance depends only on temperature.

Question

Statement 1: The total kinetic energy of vapours formed over liquid water in closed container A and B having free space 1 l and 2 l, respectively, over water at the same temperature is in the ratio 1:2, assuming ideal behaviour of vapours.

Statement 2: Vapour pressure of a pure substance depends only on temperature.

TestHub · Accepted Answer

Statement 2 is correct: vapour pressure of pure water is fixed once T is fixed. Hence both containers have the same vapour pressure p, and moles of vapour n = pV/RT ∝ V, giving n A : n B = 1 : 2. Total KE = 3/2nRT is therefore also in the ratio 1 : 2 — Statement 1 is correct and follows directly from II. Ans: (a).

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