Question

If $T_{c}$ is the critical temperature of the gas and $T_{b}$ is the Boyle's temperature then the correct relation between $T_{c}$ and $T_{b}$ is

• A. $T_{C} = \frac{4}{27}T_{b}$
• B. $T_{C} = \frac{27}{6}T_{b}$
• C. $T_{C} = \frac{8}{27}T_{b}$
• D. $T_{C} = \frac{27}{8}T_{b}$

Answer 1

Answer: (C)

Critical temperature is given by $T_{C} = \frac{8a}{27 bR}$
and Boyles temperature is given by $T_{b} = \frac{a}{bR}$
$\therefore T_{C} = \frac{8}{27} T_{b}$