(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 Avog

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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, $N = \frac{PVN_A}{RT}$.For jar $A$: $N_A = \frac{PVN_A}{RT}$.For jar $B$: $N_B = \frac{(2P)(\frac{V}{4})N_A}{R(2T)} = \frac{\frac{PV}{2}N_A}{2RT} = \frac{PVN_A}{4RT}$.The ratio of the number of molecules in jar $B$ to jar $A$ is $\frac{N_B}{N_A} = \frac{\frac{PVN_A}{4RT}}{\frac{PVN_A}{RT}} = \frac{1}{4}$.Therefore, the ratio is $1 : 4$.

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

MHT CET 2026 All MHT CET

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

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Class 11

Physics Questions

Chapter

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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MHT CET 2026 Paper All MHT CET years →

Which one of the following represents correctly the variation of volume $(V)$ of an ideal gas with temperature $(T)$ under constant pressure conditions?

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Molar volume is the volume occupied by $1 \; mol$ of any (ideal) gas at standard temperature and pressure ($STP$: $1 \; atm$ pressure,$0^{\circ} C$). Show that it is $22.4 \; L$.

Easy

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During an experiment, an ideal gas is found to obey an additional law $VP^2 = \text{constant}$. The gas is initially at temperature $T$ and volume $V$. What will be the temperature of the gas when it expands to a volume $2V$?

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What does the universal gas constant $R$ represent? Write its value and unit.

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

Similar Questions

Which one of the following represents correctly the variation of volume $(V)$ of an ideal gas with temperature $(T)$ under constant pressure conditions?

Molar volume is the volume occupied by $1 \; mol$ of any (ideal) gas at standard temperature and pressure ($STP$: $1 \; atm$ pressure,$0^{\circ} C$). Show that it is $22.4 \; L$.

During an experiment, an ideal gas is found to obey an additional law $VP^2 = \text{constant}$. The gas is initially at temperature $T$ and volume $V$. What will be the temperature of the gas when it expands to a volume $2V$?

What does the universal gas constant $R$ represent? Write its value and unit.

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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