Question

Select the order of the following temperatures for a gas:
(A) Boyle’s temperature
(B) Critical temperature
(C) Inversion temperature

• A. $A>C>B$
• B. $B>A>C$
• C. $A>B>C$
• D. $C>A>B$

Answer 1

The correct option is D $C>A>B$

Boyle's temperarure $T_b$ can be defined when a real gas behaves like an ideal gas for a wide range of pressur i.e value of compressibility factor Z is equal to or near by 1.

Critical temperature $T_c$ is defined as the temperature above which the vapor of the substance cannot be liquified.

Inversion temperature $T_i$ of gases is the critical temperature below which a non ideal gas experiences a decrease in temperature while expanding at constant enthalpy.

$T_b=\frac{a}{Rb}$ : $T_c=\frac{8a}{27Rb}$ :$T_i=\frac{2a}{Rb}$

Thus, $T_i>T_b>T_c$