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(D) According to the ideal gas equation,$PV = nRT$.For a fixed amount of gas,$P = \frac{nRT}{V}$.At a constant volume $V$,$P \propto T$.This means tha

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(D) According to the ideal gas equation,$PV = nRT$.For a fixed amount of gas,$P = \frac{nRT}{V}$.At a constant volume $V$,$P \propto T$.This means that for a given volume,the pressure is higher at a higher temperature.Therefore,if $T_1 > T_2 > T_3$,then the corresponding pressures at a constant volume will be $P_1 > P_2 > P_3$.Looking at the graphs,the curve for the highest temperature $(600 \ K)$ must be the uppermost curve,followed by $400 \ K$ and then $200 \ K$ at the bottom.This matches the representation where the curve for $600 \ K$ is above the curve for $400 \ K$,which is above the curve for $200 \ K$.

Choose the correct option for the graphical representation of Boyle's law,which shows a graph of pressure vs. volume of a gas at different temperatures:

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