JEE Main & Advanced Physics Thermodynamical Processes Question Bank Critical Thinking

  • question_answer
    When an ideal diatomic gas is heated at constant pressure, the fraction of the heat energy supplied which increases the internal energy of the gas, is [IIT 1990; UPSEAT 1998; RPET 2000]

    A)            \[\frac{2}{5}\]                      

    B)            \[\frac{3}{5}\]

    C)            \[\frac{3}{7}\]                      

    D)            \[\frac{5}{7}\]

    Correct Answer: D

    Solution :

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


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