WB JEE Medical WB JEE Medical Solved Paper-2013

  • question_answer
    During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its temperature. The ratio of \[\frac{{{C}_{p}}}{{{C}_{\upsilon }}}\] for the gas is

    A)  \[\frac{4}{3}\]

    B)  2

    C)  \[\frac{5}{3}\]

    D)  \[\frac{3}{2}\]

    Correct Answer: D

    Solution :

     According to question, \[p\propto {{T}^{3}}\] \[pV=nRT\] and \[p\propto {{T}^{3}}\] \[p\propto {{(pV)}^{3}}\] \[\Rightarrow \] \[{{p}^{2}}{{V}^{3}}=\text{constant}\] \[p{{V}^{3/2}}=\text{constant}\] \[\because \] \[p{{V}^{\gamma }}=\text{constant}\] \[\because \] \[\gamma =\frac{3}{2}\]


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