JEE Main & Advanced Sample Paper JEE Main - Mock Test - 11

  • question_answer
    A graph is plotted with PV/T on y-axis and mass of the gas along x-axis for different gases. The graph is

    A) a straight line parallel to x-axis for all the gases

    B) a straight line passing through origin with a slope having a constant value for all the gases

    C) a straight line passing through origin with a slope having different values for different gases

    D) a straight line parallel to y-axis for all the gases

    Correct Answer: C

    Solution :

     \[\frac{PV}{T}=nR=\left( \frac{m}{M} \right)R\]  or  \[\frac{PV}{T}=\left( \frac{R}{M} \right)m\] i.e. \[\frac{PV}{T}\] versus m graph is straight line passing through origin with slope R/M, i.e. the slope depends on  molecular mass of the gas M and is different for different gases. 


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