(B) According to the ideal gas law,$\frac{p_{1} V_{1}}{T_{1}} = \frac{p_{2} V_{2}}{T_{2}}$.Given: $T_{2} = 2 T_{1}$ and $p_{2} = \frac{p_{1}}{2}$.Subs

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will be $4$ times the original volume

(B) According to the ideal gas law,$\frac{p_{1} V_{1}}{T_{1}} = \frac{p_{2} V_{2}}{T_{2}}$.Given: $T_{2} = 2 T_{1}$ and $p_{2} = \frac{p_{1}}{2}$.Substituting these values into the equation:$\frac{p_{1} V_{1}}{T_{1}} = \frac{(p_{1} / 2) \times V_{2}}{2 T_{1}}$.Canceling $p_{1}$ and $T_{1}$ from both sides:$V_{1} = \frac{V_{2}}{4}$.Therefore,$V_{2} = 4 V_{1}$.The volume becomes $4$ times the original volume.

Class 11 Chemistry States of Matter Ideal gas equation and Related gas laws

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When the absolute temperature of an ideal gas is doubled and the pressure is halved,the volume of the gas

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A
will be half of the original volume
B
will be $4$ times the original volume
C
will be $2$ times the original volume
D
will be $1/4$ th of the original volume

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States of Matter

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Ideal gas equation and Related gas laws

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If $500 \ mL$ of gas $A$ at $1000 \ torr$ and $1000 \ mL$ of gas $B$ at $800 \ torr$ are taken in a $2 \ L$ container,the final pressure is .......... $torr$.

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Explain Boyle's law,derive its mathematical equation,and describe the isothermal graph.

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At a given temperature,the density of gas $x$ is twice the density of gas $y$. If the molar mass of $y$ is three times the molar mass of $x$,find the ratio of their pressures $(P_x/P_y)$.

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What is the density of $CO_2$ at $100\,^oC$ and $800\,mm\,Hg$ pressure in $g/L$?

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When the absolute temperature of an ideal gas is doubled and the pressure is halved,the volume of the gas

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If $500 \ mL$ of gas $A$ at $1000 \ torr$ and $1000 \ mL$ of gas $B$ at $800 \ torr$ are taken in a $2 \ L$ container,the final pressure is .......... $torr$.

Explain Boyle's law,derive its mathematical equation,and describe the isothermal graph.

At $300 \ K$ temperature,the pressure and volume of a gas are $1 \ bar$ and $10 \ L$ respectively. If the pressure becomes $2 \ bar$,calculate the volume of the gas at the same temperature. (in $L$)

At a given temperature,the density of gas $x$ is twice the density of gas $y$. If the molar mass of $y$ is three times the molar mass of $x$,find the ratio of their pressures $(P_x/P_y)$.

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