(B) The ideal gas equation is given by $PV = nRT$,where $n = \frac{m}{M}$.Thus,$PV = \frac{m}{M}RT$,which implies $m = \frac{PVM}{RT}$.For container $

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(B) The ideal gas equation is given by $PV = nRT$,where $n = \frac{m}{M}$.Thus,$PV = \frac{m}{M}RT$,which implies $m = \frac{PVM}{RT}$.For container $A$:$m_A = \frac{PVM}{RT} \quad (1)$For container $B$:$m_B = \frac{(2P)(2V)M}{R(T/2)} = \frac{4PVM}{RT/2} = \frac{8PVM}{RT} \quad (2)$Taking the ratio of $m_A$ to $m_B$:$\frac{m_A}{m_B} = \frac{PVM/RT}{8PVM/RT} = \frac{1}{8}$.Therefore,the ratio is $1: 8$.

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

Easy

$A$ container $A$ contains an ideal gas at pressure $P$,volume $V$,and temperature $T$. $A$ second container $B$ contains the same gas at pressure $2P$,volume $2V$,and temperature $\frac{T}{2}$. The ratio of the mass of gas in $A$ to that in $B$ is:

MHT CET 2022 All MHT CET

A
$1: 4$
B
$1: 8$
C
$1: 1$
D
$1: 2$

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Class 11 Questions

Class 11

Physics Questions

Chapter

Kinetic Theory of Gases

Subtopic

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

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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 $B$?

Medium

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Write the ideal gas equation. What is the basis of the absolute temperature scale?

Difficult

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The volume of a gas at $20^{\circ}C$ is $200\, ml$. If the temperature is reduced to $-20^{\circ}C$ at constant pressure,its volume will be ...... $ml$.

Medium

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For container $A$,the pressure is $P$,volume is $V$,and temperature is $T$. For container $B$,the pressure is $2P$,volume is $V/4$,and temperature is $2T$. Find the ratio of the number of molecules in container $A$ to that in container $B$.

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From the following $P-T$ graph,what inference can be drawn?

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$A$ container $A$ contains an ideal gas at pressure $P$,volume $V$,and temperature $T$. $A$ second container $B$ contains the same gas at pressure $2P$,volume $2V$,and temperature $\frac{T}{2}$. The ratio of the mass of gas in $A$ to that in $B$ is:

Similar Questions

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 $B$?

Write the ideal gas equation. What is the basis of the absolute temperature scale?

The volume of a gas at $20^{\circ}C$ is $200\, ml$. If the temperature is reduced to $-20^{\circ}C$ at constant pressure,its volume will be ...... $ml$.

For container $A$,the pressure is $P$,volume is $V$,and temperature is $T$. For container $B$,the pressure is $2P$,volume is $V/4$,and temperature is $2T$. Find the ratio of the number of molecules in container $A$ to that in container $B$.

From the following $P-T$ graph,what inference can be drawn?

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