NEET Sample Paper NEET Sample Test Paper-39

  • question_answer The molar specific heats of an ideal gas at  constant pressure and volume are denoted by\[{{C}_{p}}\] and \[{{C}_{\upsilon }}\]respectively. If\[\gamma =\frac{{{C}_{p}}}{{{C}_{\upsilon }}}\]and R is the universal gas constant, then \[{{C}_{\upsilon }}\]is equal to:

    A) \[\frac{1+\gamma }{1-\gamma }\]

    B) \[\frac{R}{(\gamma -1)}\]

    C) \[\frac{(\gamma -1)}{R}\]

    D) \[\gamma R\]  

    Correct Answer: B

    Solution :

     We have \[{{C}_{p}}-{{C}_{v}}=R\] and \[\frac{{{C}_{p}}}{{{C}_{v}}}=\gamma \] From (i) and (ii), we get \[{{C}_{v}}=\frac{R}{(\gamma -1)}\]


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