Question

The compressibility of a gas is less than unity at STP, therefore:

• A. $V_m>22.4L$
• B. $V_m<22.4L$
• C. $V_m=22.4L$
• D. $V_m=44.8L$

Answer 1

The correct option is B $V_m<22.4L$

For an ideal gas:
$PV=nRTZ=1$
The compressibility factor (Z) or compression factor is defined as the ratio of the molar volume of a gas to the molar volume of an ideal gas.

$Z=\frac{pV}{nRT}$
For Z less than unity, $pV<nRT$
At standard pressure and temperature,
The value of pressure is one atmosphere.
The value of temperature is $273K$
The value of the gas constant is $0.0821L.atmmo{l}^{-1}{K}^{-1}$
i.e.
$V<1\times 0.0821\times 273$
$V<22.4L$