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Evaluate the \mathrm{c_v } and \mathrm{c_p } of ozone\mathrm{ (r=1.15)} by considering it to be an ideal gas having full vibrational contribution (not just 20 % )

Option: 1

R, R


Option: 2

7 R, 6 R


Option: 3

6 R, 7 R


Option: 4

5 R, 3 R


Answers (1)

best_answer

\mathrm{ r=\frac{c_p}{c_v}=1.15}

\mathrm{ \text { Also } \quad c_p-c_v=R}

 since ozone is non-linear. 

\mathrm{ \begin{aligned} c_V & =C_{V_{\text {trans }}}+C_{V_{\text {rot }}}+C_{V_{\text {vib }}} \\ & =3\left(\frac{R}{2}\right)+3\left(\frac{R}{2}\right)+3(R) \\ & =6 R \\ C_p-C_V & =R \\ C_p & -6 R=R \\ C_p & =7 R \end{aligned}}

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Ritika Harsh

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