Statement -1: The compressibility factor at t | vedclass

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(C) For a gas following van der Waal's equation,the compressibility factor at the critical point is given by $Z_c = \frac{P_c V_c}{R T_c} = \frac{(\fr

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Statement $-1$ is true,Statement $-2$ is false.

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(C) For a gas following van der Waal's equation,the compressibility factor at the critical point is given by $Z_c = \frac{P_c V_c}{R T_c} = \frac{(\frac{a}{27b^2}) (3b)}{R (\frac{8a}{27Rb})} = \frac{3}{8} = 0.375$. This value is a constant for all gases obeying the van der Waal's equation. Thus,Statement $-1$ is true.At the critical temperature $(T_c)$,the compressibility factor $Z = \frac{P V_m}{R T_c}$ is not constant; it varies with pressure $P$ as the molar volume $V_m$ changes with pressure along the isotherm at $T_c$. Thus,Statement $-2$ is false.

$P \text{ (bar)}$	$\frac{PV}{RT}$
$1$	$1$
$2$	$1$
$3$	$1$
$3.1$	$1.2$
$3.5$	$1.4$
$4.0$	$1.5$

Statement $-1$: The compressibility factor at the critical point is the same for different gases following van der Waal's equation.
Statement $-2$: The compressibility factor is independent of pressure at the critical temperature.

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Statement $-1$: The compressibility factor at the critical point is the same for different gases following van der Waal's equation.Statement $-2$: The compressibility factor is independent of pressure at the critical temperature.