A jar ' P ' is filled with gas having pressure, volume and temperature P, V, T respectively. Another gas jar Q filled with a gas having pressure 2P, volume V/4 and temperature 2T. The ratio of the number of molecules in jar P to those in jar Q is (a) 1: 1 (b) 1: 2 (c) 2: 1 (d) 4: 1

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

A jar ' P ' is filled with gas having pressure, volume and… | MHT CET 2023 (9 May, Shift 1)

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Gas Laws & Ideal Gas Equation

A jar ' $P$ ' is filled with gas having pressure, volume and temperature $P, V, T$ respectively. Another gas jar $Q$ filled with a gas having pressure $2P$ , volume $\frac{V}{4}$ and temperature $2T$ . The ratio of the number of molecules in jar $P$ to those in jar $Q$ is

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Answer: (d)

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

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Gas Laws & Ideal Gas Equation question from MHT CET 2023 (9 May, Shift 1)

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