JEE Main & Advanced Chemistry States of Matter Question Bank Ideal gas equation and Related gas laws

  • question_answer The pressure p of a gas is plotted against its absolute temperature T for two different constant volumes, \[{{V}_{1}}\] and \[{{V}_{2}}\]. When \[{{V}_{1}}>{{V}_{2}}\], the

    A)                 Curves have the same slope and do not intersect

    B)                 Curves must intersect at some point other than \[T=0\]

    C)                 Curve for \[{{V}_{2}}\] has a greater slope than that for\[{{V}_{1}}\]

    D)                 Curve for\[{{V}_{1}}\]has a greater slope than that for\[{{V}_{2}}\]

    Correct Answer: C

    Solution :

               At constant volumes\[P\propto T\]                    P = constant T;     PV = nRT \[\therefore P=\frac{nR}{V}T\]                    slope = \[m=\frac{nR}{V}\because {{V}_{2}}<{{V}_{1}}\]                                 \[\frac{{{m}_{1}}}{{{m}_{2}}}=\frac{{{V}_{2}}}{{{V}_{1}}}\therefore {{m}_{1}}<{{m}_{2}}\] is curve for V2 has a greater slope than for V1

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