Which of the following graphs is correct for | vedclass

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(C) The ideal gas equation is given by $PV = nRT$.For option $A$: If $n$ and $T$ are constant, then $PV = 	ext{constant}$, which means $P \propto 1/V

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(C) The ideal gas equation is given by $PV = nRT$.For option $A$: If $n$ and $T$ are constant, then $PV = 	ext{constant}$, which means $P \propto 1/V$. The graph of $P$ versus $V$ should be a rectangular hyperbola, not a straight line.For option $B$: If $V$ and $n$ are constant, then $P = (nR/V) 	imes T$. Since $nR/V$ is constant, $P \propto T$. The graph of $P$ versus $T$ should be a straight line passing through the origin, not a line with a negative slope.For option $C$: If $V$ and $T$ are constant, then $P = (RT/V) 	imes n$. Since $RT/V$ is constant, $P \propto n$. The graph of $P$ versus $n$ is a straight line passing through the origin. This is correct.For option $D$: If $P$ and $n$ are constant, then $V = (nR/P) 	imes T$. Thus $V \propto T$. The graph of $V$ versus $1/T$ would not be a straight line passing through the origin; rather, $V$ versus $T$ would be.Therefore, the correct graph is $C$.

Which of the following graphs is correct for an ideal gas?

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