(C) From the ideal gas equation $PV = \frac{m}{M_0}RT$,where $m$ is mass,$M_0$ is molar mass,$R$ is the gas constant,and $T$ is temperature.Since $m$

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(C) From the ideal gas equation $PV = \frac{m}{M_0}RT$,where $m$ is mass,$M_0$ is molar mass,$R$ is the gas constant,and $T$ is temperature.Since $m$ and $T$ are constant,$P \propto \frac{1}{M_0 V}$.Therefore,the ratio of pressures is $\frac{P_A}{P_B} = \frac{M_{0,B}}{M_{0,A}} \times \frac{V_B}{V_A}$.Given: $M_{0,A} (N_2) = 28 \, g/mol$,$M_{0,B} (O_2) = 32 \, g/mol$,and $V_B = 2V_A$.Substituting these values: $\frac{P_A}{P_B} = \frac{32}{28} \times \frac{2V_A}{V_A} = \frac{32}{28} \times 2 = \frac{64}{28} = \frac{16}{7}$.

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

Equal masses of $N_2$ and $O_2$ gases are filled in containers $A$ and $B$ respectively. The volume of container $B$ is twice the volume of container $A$. What is the ratio of the pressure in container $A$ to that in container $B$?

A
$16 : 14$
B
$32 : 7$
C
$16 : 7$
D
None of these

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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

$A$ 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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For a perfect gas,two pressures $P_{1}$ and $P_{2}$ are shown in the figure. The graph shows:

Medium

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An ideal gas has an initial pressure of $3$ pressure units and an initial volume of $4$ volume units. The table gives the final pressure and volume of the gas (in those same units) in four processes. Which processes start and end on the same isotherm?
$A$. Process $A$ $P=5, V=7$
$B$. Process $B$ $P=4, V=6$
$C$. Process $C$ $P=12, V=1$
$D$. Process $D$ $P=6, V=3$

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Under constant temperature,the graph between $P$ and $1/V$ is:

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If an ideal gas has volume $V$ at $27^{\circ}C$ and it is heated at a constant pressure so that its volume becomes $1.5V$,then the value of the final temperature will be ....... $^{\circ}C$.

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$A$. Process $A$	$P=5, V=7$
$B$. Process $B$	$P=4, V=6$
$C$. Process $C$	$P=12, V=1$
$D$. Process $D$	$P=6, V=3$

Equal masses of $N_2$ and $O_2$ gases are filled in containers $A$ and $B$ respectively. The volume of container $B$ is twice the volume of container $A$. What is the ratio of the pressure in container $A$ to that in container $B$?

Similar Questions

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

For a perfect gas,two pressures $P_{1}$ and $P_{2}$ are shown in the figure. The graph shows:

Under constant temperature,the graph between $P$ and $1/V$ is:

If an ideal gas has volume $V$ at $27^{\circ}C$ and it is heated at a constant pressure so that its volume becomes $1.5V$,then the value of the final temperature will be ....... $^{\circ}C$.

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