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MGIMS WARDHA MGIMS WARDHA Solved Paper-2007

  • question_answer
    Two gases A and B at same pressure contain number of moles \[{{n}_{1}}\] and \[{{n}_{2}}\] Their volume temperature graphs are shown in figure. Then the  ratio \[{{n}_{1}}/{{n}_{2}}\]is      

    A) 1                                             

    B) \[\frac{1}{2}\]

    C) \[\frac{1}{3}\]                                   

    D) \[3\]

    Correct Answer: C

    Solution :

    Pressure of gas, \[P=\frac{nRT}{V}\] Or \[\frac{V}{T}=\frac{nR}{P}\]ie, slope of graph \[=\frac{nR}{P}.\] Both the gases have same pressure, so, \[n\propto slope\text{ }of\text{ }graph\] \[\therefore \]  \[\frac{{{n}_{1}}}{{{n}_{2}}}=\frac{\tan \,{{30}^{o}}}{\tan {{60}^{o}}}=\frac{1}{3}\]       


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