Question

Match the List-I with List-II:

List-I	List-II
(a) The highest temperature at which liquid $C{O}_2$ exists	(p) $\frac{V_{real}}{V_{ideal}}$
(b) 8a / 27 Rb	(q) Critical temperature
(c) Compressibility factor Z = 3/8 at	(r) Ideal gas
(d) Compressibility factor Z = 1 for	(s) ${30.98}^{o}C$

Answer 1

$a.$ Highest temperature at which liquid $C{O}_2$ exists is $30.98°C$ and pressure of at least $5-2$ bar.

$b.$ Formula for critical temperature $\left(T_C\right)$ is given by $T_C=\frac{8a}{27Rb}$ $\left[\text{Maximum temperature at which gas can be liquefied}\right]$

$c.$ At critical state, $z=\frac{V_{real}}{V_{ideal}}⟹z=\frac{P_C{V}_C}{R{T}_C}$

as we know critical constants $V_C=3b,T_C=\frac{8a}{27Rb},P_C=\frac{a}{27b^2}$

$⟹z=\frac{3}{8}$

$d.$ Compressibility factor $z=1$ for ideal gas.

ideal gas has no deviation from $z=1.$