Gas at pressure P, temperature T, and volume V is filled in jar A. Another jar B is filled with gas having parameters 2P, V/4, 2T. The ratio of number of molecules of jar B to those of jar A is (a) 1: 2 (b) 1: 4 (c) 2: 1 (d) 4: 1

Answer: (b). Number of molecules N = PV/kT ∝ PV/T. NA ∝ PV/T, NB ∝ (2P/4)/(2T) = 1/4PV/T. NB: NA = 1: 4. So the answer is (b) 1: 4.

Gas at pressure P, temperature T, and volume V is filled in jar A… | MHT CET 2026 (20 Apr, Shift 1)

Q12MHT CET 2026 · 20 APR · SHIFT 1Medium

Gas Laws & Ideal Gas Equation

Gas at pressure P, temperature T, and volume V is filled in jar A. Another jar B is filled with gas having parameters $2P, \frac{V}{4}, 2T$ . The ratio of number of molecules of jar B to those of jar A is

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Answer: (b)

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

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