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NEET Sample Paper NEET Sample Test Paper-68

  • 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 \[P\propto T\] \[\operatorname{P}= constant T;\,\,PV = nRT \,\,\,\therefore \,\, P\,\,=\,\,\frac{nR}{V}T\] \[Slope\,\,=\,\,m=\frac{nR}{V}\,\,\,\,\because \,\,{{V}_{2}}<{{V}_{1}}\] \[\frac{{{m}_{1}}}{{{m}_{2}}}=\frac{{{V}_{2}}}{{{V}_{1}}}\,\,\,\,\,\,\,\,\therefore \,\,\,{{m}_{1}}<{{m}_{2}}\] is curve for \[{{V}_{2}}\] has a greater slope than for \[{{V}_{1}}\]


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