Two flasks X and Y have capacity 1 and 2 L, respectively, and each of them contains 1 mole of a gas. The temperature of the flask is so adjusted that average speed of molecules in X is twice as those

Question

Two flasks X and Y have capacity 1 and 2 L, respectively, and each of them contains 1 mole of a gas. The temperature of the flask is so adjusted that average speed of molecules in X is twice as those in Y. The pressure in flask X would be

Prashant Kotian · Accepted Answer

Correct answer: D. since average speed is ∝ √t, we have: c_x / c_y = 2 → √(t_x / t_y) = 2 → t_x = 4 × t_y. from the ideal gas law: p = nrt/v. for x: p_x = 1 × r × (4 t_y) / 1 = 4 r t_y. for y: p_y = 1 × r × t_y / 2 = 0.5 r t_y. thus, p_x / p_y = 4 / 0.5 = 8.

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