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JEE Main & Advanced Physics Kinetic Theory of Gases Question Bank Self Evaluation Test - Kinetic Theory

  • question_answer
    Two different masses m and 3m of an ideal gas are heated separately in a vessel of constant volume, the pressure P and absolute temperature T, graphs for these two cases are shown in the figure as A and B. The ratio of slopes of curves B to A is

    A) 3 : 1

    B) 1 : 3        

    C) 9 : 1

    D) 1 : 9     

    Correct Answer: A

    Solution :

    [a] \[PV=\frac{m}{M}RT;\text{ }\therefore \frac{P}{T}=Cm\] \[\text{or    }\frac{\text{slope of }B}{\text{slope of }A}=\frac{{{m}_{B}}}{{{m}_{A}}}=\frac{3m}{m}=3\]


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