We have a jar filled with gas characterized by parameters P, V, T and another jar B filled with gas having parameters 2P, V/4, 2T, where symbols have their usual meaning. The ratio of number of molecules in jar A to those in jar B is (a) 1: 1 (b) 1: 2 (c) 2: 1 (d) 4: 1

Answer: (d). N ∝ PV/T. NA ∝ PV/T, NB ∝ (2P/4)/(2T) = PV/4T. NA: NB = 4: 1. So the answer is (d) 4: 1.

We have a jar filled with gas characterized by parameters P, V, T and… | MHT CET 2023 (10 May, Shift 2)

Q49MHT CET 2023 · 10 MAY · SHIFT 2Medium

Gas Laws & Ideal Gas Equation

We have a jar filled with gas characterized by parameters $P, V, T$ and another jar B filled with gas having parameters $2P, \frac{V}{4}, 2T$ , where symbols have their usual meaning. The ratio of number of molecules in jar A to those in jar B is

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Answer: (d)

$N \propto \frac{PV}{T}$ .
$N_A \propto \frac{PV}{T}$ , $N_B \propto \frac{2P\cdot\frac{V}{4}}{2T} = \frac{PV}{4T}$ .
$N_A : N_B = 4 : 1$ .
So the answer is (d) $4 : 1$ .

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Gas Laws & Ideal Gas Equation question from MHT CET 2023 (10 May, Shift 2)

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