Two vessels A and B are of the same size and are at same temperature. A contains 1 g of hydrogen and B contains 1 g of oxygen. PA and PB are the pressures of the gases in A and B respectively, then (PA)/(PB) is: (a) 4 (b) 32 (c) 8 (d) 16

Answer: (d). Same V and T, so P ∝ n. nA = 1/2 (H₂), nB = 1/32 (O₂). (PA)/(PB) = (1/2)/(1/32) = 16. So the answer is (d) 16.

Two vessels A and B are of the same size and are at same temperature… | JEE Main 2024 (29 Jan, Shift 1)

Q38JEE Main 2024 · 29 JAN · SHIFT 1Medium

Gas Laws & Ideal Gas Equation

Two vessels $A$ and $B$ are of the same size and are at same temperature. A contains $1\text{ g}$ of hydrogen and $B$ contains $1\text{ g}$ of oxygen. $P_A$ and $P_B$ are the pressures of the gases in $A$ and $B$ respectively, then $\frac{P_A}{P_B}$ is:

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Answer: (d)

Same $V$ and $T$ , so $P \propto n$ .
$n_A = \frac{1}{2}$ (H₂), $n_B = \frac{1}{32}$ (O₂).
$\frac{P_A}{P_B} = \frac{1/2}{1/32} = 16$ .
So the answer is (d) 16.

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