Question

If the critical temperature of a gas is ${100}^{0}C$, its Boyle's temperature will be :

• A. ${337.5}^{0}C$
• B. ${500}^{0}C$
• C. ${33.3}^{0}C$
• D. ${1000}^{0}C$

Answer 1

The correct option is A ${337.5}^{0}C$

(a) Boyle's temperature is defined as:

$T_B$ = $\frac{a}{Rb}$

= $\frac{27}{8}\left(\frac{8a}{27Rb}\right)$

= $\frac{27}{8}{T}_C$

Where, $T_c=Criticaltemperature$

= $3.375\times 100$

= ${337.5}^{0}C$

Hence, the correct option is $A$.