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Q. The compressibility of a gas is less than unity at STP. Therefore

UP CPMTUP CPMT 2006

Solution:

Compressibility factor, $z=\frac{PV}{nRT}$
Given, $ z <\,1$
$\therefore \frac{PV}{nRT} <\,1$ or $PV <\,nRT$
or , $1\,atm \times V_{m} <\,1$ mole $\times0.0821$ lit atm
$K^{-1}mole^{-1}\times273\,K$
or, $V_{m}<\,\left(0.0821\times273\right)$ lit
or, $V_{m}<\,22.4$ lit