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

Difficult

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 Questions

Class 11

Physics Questions

Chapter

Kinetic Theory

Subtopic

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

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The figure shows graphs of pressure $(P)$ versus density $(\rho)$ for an ideal gas at two temperatures $T_1$ and $T_2$.

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$A$ box contains $n$ molecules of a gas. How will the pressure of the gas be affected if the number of molecules is made $2n$?

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The density of a gas at normal pressure and $27^{\circ}C$ temperature is $24$. Keeping the pressure constant,the density at $127^{\circ}C$ will be:

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If a given mass of gas occupies a volume of $10\, cc$ at $1\, atm$ pressure and a temperature of $100^{\circ}C$ $(373.15\, K)$,what will be its volume at $4\, atm$ pressure,assuming the temperature remains constant?

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The adjoining figure shows graphs of pressure and volume of a gas at two temperatures $T_1$ and $T_2$. Which of the following is correct?

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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

The figure shows graphs of pressure $(P)$ versus density $(\rho)$ for an ideal gas at two temperatures $T_1$ and $T_2$.

$A$ box contains $n$ molecules of a gas. How will the pressure of the gas be affected if the number of molecules is made $2n$?

The density of a gas at normal pressure and $27^{\circ}C$ temperature is $24$. Keeping the pressure constant,the density at $127^{\circ}C$ will be:

If a given mass of gas occupies a volume of $10\, cc$ at $1\, atm$ pressure and a temperature of $100^{\circ}C$ $(373.15\, K)$,what will be its volume at $4\, atm$ pressure,assuming the temperature remains constant?

The adjoining figure shows graphs of pressure and volume of a gas at two temperatures $T_1$ and $T_2$. Which of the following is correct?

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