JEE Main & Advanced Sample Paper JEE Main - Mock Test - 19

  • question_answer
    The density \[(\rho )\] 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 \[{{T}_{2}}\] maybe

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

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

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

    D) All the three possible          

    Correct Answer: B

    Solution :

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


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