Uttarakhand PMT Uttarakhand PMT Solved Paper-2009

  • question_answer
    A diatomic gas is heated at constant pressure. What fraction of the heat energy is used to increase the internal energy?

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

    B)  \[\frac{3}{7}\]

    C)  \[\frac{5}{7}\]               

    D)  \[\frac{5}{9}\]

    Correct Answer: C

    Solution :

     Fraction of supplied energy which increases the internal energy is given by \[f=\frac{\Delta U}{(\Delta {{Q}_{p}})}=\frac{(\Delta Q)}{{{(\Delta {{Q}_{p}})}_{p}}}\] \[=\frac{n{{C}_{V}}\Delta T}{\mu {{C}_{p}}\Delta T}=\frac{1}{\gamma }\] For diatomic gas\[\gamma =\frac{7}{5}\] \[\Rightarrow \] \[f=\frac{5}{7}\]


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