(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

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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:

MHT CET 2022 All MHT CET

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

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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

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The equation of state for $5 \ g$ of oxygen gas at pressure $P$,volume $V$,and temperature $T$ is given by:

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$12\,g$ of gas occupies a volume of $4\times 10^{-3}\,m^3$ at a temperature of $7\,^oC$. After the gas is heated at constant pressure,its density becomes $6\times 10^{-4}\,g/cc$. Find the temperature $T$ (in $K$) to which the gas was heated.

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$10 \ g$ of a gas at $STP$ occupies a volume of $2 \ L$. At what temperature will the volume be doubled,if pressure and amount of the gas remain constant?

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The graph shows the $PV$ vs $P$ plot for different gases at a constant temperature. Which graph represents an ideal gas?

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The equation for an ideal gas is $PV = RT,$ where $V$ represents the volume of

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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 equation of state for $5 \ g$ of oxygen gas at pressure $P$,volume $V$,and temperature $T$ is given by:

$12\,g$ of gas occupies a volume of $4\times 10^{-3}\,m^3$ at a temperature of $7\,^oC$. After the gas is heated at constant pressure,its density becomes $6\times 10^{-4}\,g/cc$. Find the temperature $T$ (in $K$) to which the gas was heated.

$10 \ g$ of a gas at $STP$ occupies a volume of $2 \ L$. At what temperature will the volume be doubled,if pressure and amount of the gas remain constant?

The graph shows the $PV$ vs $P$ plot for different gases at a constant temperature. Which graph represents an ideal gas?

The equation for an ideal gas is $PV = RT,$ where $V$ represents the volume of

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