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

  • question_answer
    The density (p)versus pressure (P) of a given mass of an ideal gas is shown at two temperatures\[~{{T}_{1}}\] and \[~{{T}_{2}}\] Then relation between  \[~{{T}_{1}}\] and \[~{{T}_{2}}\] may be

    A) \[{{T}_{1}}>{{T}_{2}}\]        

    B)        \[{{T}_{2}}>{{T}_{1}}\]

    C) \[{{T}_{1}}={{T}_{2}}\]        

    D)        All the three are possible

    Correct Answer: B

    Solution :

    [b] According to ideal gas equation \[PV=nRT\] \[PV=\frac{m}{M}RT,P=\frac{\rho }{M}RT\text{ or }\frac{\rho }{P}=\frac{M}{RT}\] \[\text{or }\frac{\rho }{P}\propto \frac{1}{T}\]  Here, \[\frac{\rho }{P}\] represent the slope of graph Hence \[{{T}_{1}}>{{T}_{2}}\]


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