(C) At equilibrium,the pressure $P$ in both flasks must be the same.Using the ideal gas equation $PV = nRT$,where $n = \frac{m}{M}$ ($M$ is the molar

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(C) At equilibrium,the pressure $P$ in both flasks must be the same.Using the ideal gas equation $PV = nRT$,where $n = \frac{m}{M}$ ($M$ is the molar mass of the gas):$P = \frac{mRT}{MV}$Since $P$,$R$,and $M$ are constant for both flasks,we have:$\frac{m_1 T_1}{V_1} = \frac{m_2 T_2}{V_2}$Given $V_1 = 2V_2$,$T_1 = 100\,K$,$T_2 = 200\,K$,and $m_1 = m$:$\frac{m \times 100}{2V_2} = \frac{m_2 \times 200}{V_2}$$\frac{100m}{2} = 200m_2$$50m = 200m_2$$m_2 = \frac{50m}{200} = \frac{m}{4}$

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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The figure shows two flasks connected to each other. The volume of flask $1$ is twice that of flask $2$. The system is filled with an ideal gas at temperatures $100\,K$ and $200\,K$ respectively. If the mass of the gas in flask $1$ is $m$,what is the mass of the gas in flask $2$?

A
$m$
B
$m/2$
C
$m/4$
D
$m/8$

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Class 11 Questions

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

By using the ideal gas equation $PV = \mu RT$,write the value,unit,and dimension of $R$.

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Pressure of a gas of constant volume at $20^{\circ} C$ is $90 \ cm$ of $Hg$. At what temperature the pressure would change to $75 \ cm$ of $Hg$ (in $^{\circ} C$)?

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We write the relation for Boyle's law in the form $PV = C$ when the temperature remains constant. In this relation,the magnitude of $C$ depends upon

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What will be the volume occupied by $4.5 \, kg$ of water at $STP$ if the intermolecular forces are neglected?

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When air is filled in a balloon, both the pressure and volume increase while the temperature remains constant. Why is Boyle's law not obeyed in this case?

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The figure shows two flasks connected to each other. The volume of flask $1$ is twice that of flask $2$. The system is filled with an ideal gas at temperatures $100\,K$ and $200\,K$ respectively. If the mass of the gas in flask $1$ is $m$,what is the mass of the gas in flask $2$?

Similar Questions

By using the ideal gas equation $PV = \mu RT$,write the value,unit,and dimension of $R$.

Pressure of a gas of constant volume at $20^{\circ} C$ is $90 \ cm$ of $Hg$. At what temperature the pressure would change to $75 \ cm$ of $Hg$ (in $^{\circ} C$)?

We write the relation for Boyle's law in the form $PV = C$ when the temperature remains constant. In this relation,the magnitude of $C$ depends upon

What will be the volume occupied by $4.5 \, kg$ of water at $STP$ if the intermolecular forces are neglected?

When air is filled in a balloon, both the pressure and volume increase while the temperature remains constant. Why is Boyle's law not obeyed in this case?

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