The graph that does not represent the behavio | vedclass

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(D) The ideal gas equation is $pV = nRT$.$(A)$ At constant $T$,$p = \frac{nRT}{V}$,so $p \propto \frac{1}{V}$. This is a rectangular hyperbola,which i

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$B$ and $C$ both

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(D) The ideal gas equation is $pV = nRT$.$(A)$ At constant $T$,$p = \frac{nRT}{V}$,so $p \propto \frac{1}{V}$. This is a rectangular hyperbola,which is correct for an ideal gas.$(B)$ The graph of $p$ versus $1/V$ at constant $p$ is incorrect because $p$ cannot be constant while $1/V$ varies in an ideal gas equation unless $T$ also changes proportionally. Furthermore,for an ideal gas at constant $T$,$p$ is directly proportional to $1/V$,not constant.$(C)$ The graph of $pV$ versus $T$ should be a straight line passing through the origin with a slope of $nR$,not a constant horizontal line. Thus,this graph is also incorrect.Therefore,both graphs $B$ and $C$ do not represent the behaviour of an ideal gas.

The graph that does not represent the behaviour of an ideal gas is

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