(B) From the ideal gas equation,$PV = nRT$,where $n$ is the number of moles. The number of molecules $N$ is given by $N = nN_A$,where $N_A$ is Avogadr

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(B) From the ideal gas equation,$PV = nRT$,where $n$ is the number of moles. The number of molecules $N$ is given by $N = nN_A$,where $N_A$ is Avogadro's number.Thus,$N = \frac{PV}{RT} N_A$.For jar $A$: $N_A = \frac{PV}{RT} N_A$.For jar $B$: $N_B = \frac{(2P)(V/4)}{(T/4)} N_A = \frac{2PV/4}{T/4} N_A = \frac{2PV}{T} N_A = 2 \left( \frac{PV}{RT} \right) N_A = 2N_A$.Therefore,the ratio of the number of molecules in jar $A$ to jar $B$ is $N_A / N_B = 1 / 2$,which is $1: 2$.

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

Medium

The pressure $P$,volume $V$,and temperature $T$ of a gas in jar $A$ are given. The gas in another jar $B$ is at pressure $2P$,volume $V/4$,and temperature $T/4$. What is the ratio of the number of molecules in jar $A$ to jar $B$?

MHT CET 2025 All MHT CET

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

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Class 11

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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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The pressure $P$,volume $V$,and temperature $T$ of a gas in jar $A$ are given. The gas in another jar $B$ is at pressure $2P$,volume $V/4$,and temperature $T/4$. What is the ratio of the number of molecules in jar $A$ to jar $B$?

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For one gram mole of a gas,the value of $R$ in the equation $PV = RT$ is nearly ...... $cal/K$

The pressure $Vs$ temperature graph of an ideal gas is shown in the figure. If the density of the gas at point $A$ is $\rho _0$,what will be the density at point $B$?

$A$ tyre kept outside in sunlight bursts after some time because of:

Air pressure in a car tyre increases during driving. Explain.

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