At a given volume and temperature,the pressur | vedclass

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(C) We know the ideal gas equation is given by $PV = nRT$,where $n$ is the number of moles.Since $n = \frac{m}{M}$,where $m$ is the mass of the gas an

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Varies linearly as its mass

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(C) We know the ideal gas equation is given by $PV = nRT$,where $n$ is the number of moles.Since $n = \frac{m}{M}$,where $m$ is the mass of the gas and $M$ is the molar mass,the equation becomes $PV = \frac{m}{M} RT$.Rearranging for pressure $P$,we get $P = \left( \frac{RT}{MV} \right) m$.Given that the volume $V$ and temperature $T$ are constant,and the molar mass $M$ and gas constant $R$ are also constants,the term $\left( \frac{RT}{MV} \right)$ is a constant.Therefore,$P \propto m$.This shows that the pressure of the gas varies linearly with its mass.Thus,the correct choice is option $C$.

At a given volume and temperature,the pressure of a gas

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