(B) According to Boyle's law, for a fixed mass of an ideal gas at constant temperature, the product of pressure $(P)$ and volume $(V)$ is constant.Dim

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(B) According to Boyle's law, for a fixed mass of an ideal gas at constant temperature, the product of pressure $(P)$ and volume $(V)$ is constant.Dimensional analysis of $PV$:Pressure $(P)$ = $\text{Force} / \text{Area} = [MLT^{-2}] / [L^2] = [ML^{-1}T^{-2}]$Volume $(V)$ = $[L^3]$Therefore, $PV = [ML^{-1}T^{-2}] \times [L^3] = [ML^2T^{-2}]$This dimension $[ML^2T^{-2}]$ corresponds to the dimension of work or energy.Thus, the $SI$ unit of $PV$ is Joule $(J)$, which is the same as the $SI$ unit of energy.

Class 11 Physics Kinetic Theory Gas Laws (Charles, Boyle's, Avagadro's, Gay Lussacs and Dalton's law) and Ideal gas Equation

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According to Boyle's law, the product $PV$ remains constant. The $SI$ unit of $PV$ is same as that of

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Kinetic Theory

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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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Column-$I$ represents gas laws and Column-$II$ represents the physical quantity which is constant for the given law. Match them correctly:

Column-$I$ Column-$II$

$(a)$ Boyle's law $(i)$ Pressure

$(b)$ Charles's law $(ii)$ Volume

$(iii)$ Temperature

Column-$I$	Column-$II$
$(a)$ Boyle's law	$(i)$ Pressure
$(b)$ Charles's law	$(ii)$ Volume
	$(iii)$ Temperature

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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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In the given $(V - T)$ diagram,what is the relation between pressures $P_1$ and $P_2 \,?$

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For an ideal gas with pressure $P$,temperature $T$,and volume $V$,where the mass of each molecule is $m$,what is the density of the gas? ($k$ is the Boltzmann constant)

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The volume of a gas at $21^{\circ}C$ temperature and $768 \,mm$ pressure is $1 \,L$. If the density of the gas is $1.2 \,g/L$ at $NTP$,then its mass will be ..... $g$.

Medium

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According to Boyle's law, the product $PV$ remains constant. The $SI$ unit of $PV$ is same as that of

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Column-$I$ represents gas laws and Column-$II$ represents the physical quantity which is constant for the given law. Match them correctly: Column-$I$ Column-$II$ $(a)$ Boyle's law $(i)$ Pressure $(b)$ Charles's law $(ii)$ Volume $(iii)$ Temperature

$10 \ g$ 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?

In the given $(V - T)$ diagram,what is the relation between pressures $P_1$ and $P_2 \,?$

For an ideal gas with pressure $P$,temperature $T$,and volume $V$,where the mass of each molecule is $m$,what is the density of the gas? ($k$ is the Boltzmann constant)

The volume of a gas at $21^{\circ}C$ temperature and $768 \,mm$ pressure is $1 \,L$. If the density of the gas is $1.2 \,g/L$ at $NTP$,then its mass will be ..... $g$.

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Column-$I$ represents gas laws and Column-$II$ represents the physical quantity which is constant for the given law. Match them correctly:

Column-$I$ Column-$II$

$(a)$ Boyle's law $(i)$ Pressure

$(b)$ Charles's law $(ii)$ Volume

$(iii)$ Temperature