(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

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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

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

Medium

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For an ideal gas at constant pressure,if the volume is $V$ at a temperature of $27^{\circ}C$,what will be its final volume when the temperature is increased to $327^{\circ}C$?

Easy

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Which of the following graphs correctly represents the variation of $\beta = - \left( \frac{dV}{dP} \right)/V$ with $P$ for an ideal gas at constant temperature?

Difficult

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The equation of state for $5 \, g$ of oxygen at a pressure $P$ and temperature $T$,when occupying a volume $V$,will be (where $R$ is the gas constant).

MediumAIPMT 2004

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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:

EasyMHT CET 2022

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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

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

For an ideal gas at constant pressure,if the volume is $V$ at a temperature of $27^{\circ}C$,what will be its final volume when the temperature is increased to $327^{\circ}C$?

Which of the following graphs correctly represents the variation of $\beta = - \left( \frac{dV}{dP} \right)/V$ with $P$ for an ideal gas at constant temperature?

The equation of state for $5 \, g$ of oxygen at a pressure $P$ and temperature $T$,when occupying a volume $V$,will be (where $R$ is the gas constant).

$A$ 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:

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