An ideal gas has molecules with 5 degrees of freedom.  The ratio of specific heats at constant pressure (Cp) and at constant volume (Cv) is :

  • Option 1)

    6

  • Option 2)

    \frac{7}{2}

  • Option 3)

    \frac{5}{2}

  • Option 4)

    \frac{7}{5}

 

Answers (1)

As we learnt in

Atomicity or adiabatic coefficient (gamma) -

\gamma =\frac{ C_{p}}{ C_{v}}

=1+\frac{2}{f}

 

- wherein

for Monoatomic gas     \gamma= \frac{5}{3}

for Diatomic gas         \gamma= \frac{7}{5}

for Triatomic gas        \gamma= \frac{4}{3}

 

 f = 5 

\frac{C_{p}}{C_{v}}=\gamma=1+\frac{2}{f}=\frac{7}{5}

Correct option is 4.


Option 1)

6

This is an incorrect option.

Option 2)

\frac{7}{2}

This is an incorrect option.

Option 3)

\frac{5}{2}

This is an incorrect option.

Option 4)

\frac{7}{5}

This is the correct option.

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