Question

The compressibility of a gas is less than unity at STP. Therefore, its molar volume is

• A. $V_m>22.4\text{L}$
• B. $V_m<22.4\text{L}$
• C. $V_m=22.4\text{L}$
• D. $V_m=44.8\text{L}$

Answer 1

The correct option is B $V_m<22.4\text{L}$

Given: $Z<1$
as compressibility factor (Z) is given as
$Z=\frac{V_{m,real}}{V_{m,ideal}}$
$\therefore \frac{V_{m,real}}{V_{m,ideal}}<1$
$\Rightarrow \frac{V_{m,real}}{22.4\text{L}}<1$
because Molar volume of ideal gas at STP =22.4 L
$\Rightarrow V_{m,real}<22.4\text{L}$