(D) According to the ideal gas equation,$PV = Nk_B T$,where $N$ is the number of molecules and $k_B$ is the Boltzmann constant.For jar $A$: $PV = N_A

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(D) According to the ideal gas equation,$PV = Nk_B T$,where $N$ is the number of molecules and $k_B$ is the Boltzmann constant.For jar $A$: $PV = N_A k_B T$ --- $(i)$For jar $B$: $(2P) \times (V/4) = N_B k_B (2T)$Simplifying the left side: $(1/2) PV = N_B k_B (2T)$$PV = 4 N_B k_B T$ --- $(ii)$Equating $(i)$ and $(ii)$: $N_A k_B T = 4 N_B k_B T$$N_A = 4 N_B$Therefore,the ratio $N_A / N_B = 4/1$ or $4: 1$.

Class 11 Physics Kinetic Theory of Gases Gas Laws (Charles, Boyle's, Avagadro's, Gay Lussacs and Dalton's law) and Ideal gas Equation

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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 the number of molecules in jar $A$ to those in jar $B$ is

MHT CET 2023 All MHT CET

A
$1: 1$
B
$1: 2$
C
$2: 1$
D
$4: 1$

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Kinetic Theory of Gases

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Gas Laws (Charles, Boyle's, Avagadro's, Gay Lussacs and Dalton's law) and Ideal gas Equation

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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 the number of molecules in jar $A$ to those in jar $B$ is

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