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NEET Sample Paper NEET Sample Test Paper-42

  • 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 \[\frac{{{C}_{p}}}{{{C}_{v}}}\]for the gas is:                        

    A) 4         

    B) 2     

    C) 5                     

    D) 3

    Correct Answer: B

    Solution :

    \[\operatorname{P}\propto {{T}^{3}}(given)\]          ?(1) \[{{\operatorname{P}}^{1-\gamma }}{{T}^{\gamma }}=K(given)\] \[\operatorname{P}=K{{T}^{1-\gamma }}\]                          ?(2) By (1) and (2) \[\frac{-\gamma }{1-\gamma }=3\] \[3-3\gamma =-\gamma \] \[3=2\gamma \] \[\gamma =\frac{3}{2}\]


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