Question

The ratio of adiabatic to isothermal elasticity of a diatomic gas is

Answer 1

Answer: Ratio will be 1.4

Explanation: The ratio of adiabatic elasticity to isothermal elasticity is given by:

$\frac{k_{adiabatic}}{k_{isothermal}}=\gamma$

and $\gamma =\frac{C_p}{C_v}$

For a diatomic gas, $C_v=\frac{5R}{2}$

Relation between $C_p\text{ and }C_v$

$C_p=C_v+R$

$C_p=\frac{7R}{2}$

Ratio will be

$\gamma=\left(\frac{\frac{7R}{2}}{\frac{5R}{2}}\right )$

$\gamma=\frac{7}{5}$

$\gamma=1.4$