RAJASTHAN PMT Rajasthan - PMT Solved Paper-2010

  • question_answer
    The following sets of values for\[{{C}_{V}}\]and \[{{C}_{P}}\] of a gas has been reported by different students. The units are cal/g-mol-K. Which of these sets is most reliable?

    A)  \[{{C}_{V}}=3,\,{{C}_{p}}=5\]                    

    B)  \[{{C}_{V}}=4,\,{{C}_{p}}=6\]

    C)  \[{{C}_{V}}=3,\,{{C}_{p}}=2\]   

    D)        \[{{C}_{V}}=3,\,{{C}_{p}}=4.2\]

    Correct Answer: A

    Solution :

    \[{{C}_{p}}-{{C}_{V}}=R=2\cdot \frac{cal}{gm\text{-}mol\text{-}K}\]which is correct for option (a) and . Further the ratio\[\frac{{{C}_{p}}}{{{C}_{V}}}(=\gamma )\] should equal to some standard value corresponding to that of either, mono, di, or triatomic gases. From this point of view option (a) is correct because\[{{\left( \frac{{{C}_{p}}}{{{C}_{V}}} \right)}_{mono}}=\frac{5}{3}\]


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