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NEET Sample Paper NEET Sample Test Paper-18

  • question_answer
    During an adiabatic process, the pressure of a gas is proportional to the cube of its absolute temperature. The value of\[\frac{{{C}_{p}}}{{{C}_{v}}}\]for the gas is:

    A) \[\frac{3}{5}\]                        

    B) \[\frac{4}{3}\]

    C) \[\frac{5}{3}\]                        

    D) \[\frac{3}{2}\]   

    Correct Answer: D

    Solution :

    \[\rho \propto {{T}^{3}}\]or \[\rho {{T}^{-3}}=k\]                                  (1) For adiabatic process \[P{{V}^{\gamma }}=C\] or \[P{{\left( \frac{RT}{P} \right)}^{\gamma }}=c\]or \[{{P}^{1-\gamma }}{{T}^{-\gamma }}=C'\] or \[P{{T}^{\frac{\gamma }{1-\gamma }}}=C''=k\] Comparing (1) and (2) \[\frac{\gamma }{1-\gamma }=-3\]or \[\gamma =\frac{3}{2}.\] Hence, the correction option is [d].


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