Question

A gas at $250k$ and $15atm$ has a molar volume $12$ smaller than that calculated from perfect gas law. Select the incorrect statement.

• A. The compression factor at this condition is $0.88$
• B. The molar volume of gas at this condition is $1.204L$
• C. At this condition attractive forces dominate
• D. Force of repulsion dominate at this condition.

Answer 1

The correct option is C At this condition attractive forces dominate

$V\left(ideal\right)=\frac{RT}{P}=\frac{0.0821\times 250}{15}=1.368$

$V\left(real\right)=\frac{V\left(ideal\right)}{12}=\frac{1.368}{12}$

$\therefore z=\frac{V\left(real\right)}{V\left(ideal\right)}=\frac{1.368}{12\times 1.368}=0.083$

Here, $z$ (compression factor) $<1$,

Therefore, attractive forces are dominant.