Question

1 mole of $CC{I}_4$vapours at ${27}^{\circ }$C occupies a volume of 40 lit.If vander waals constant are $24.6L^2$atm $mo{l}^{-2}$ and 0.125$Lmo{l}^{-1}$.Calculate compressibility factor under
(a)Low pressure region
(b)high pressure region

• A. (a) $0.975$ (b) $1.003$
• B. (a) $1.685$ (b) $2.006$
• C. (a) $1.040$ (b) $1.003$
• D. None of these

Answer 1

The correct option is A (a) $0.975$ (b) $1.003$

(a) At low pressure, the compressibility factor is

$Z=1-\frac{a}{RTV}=1-\frac{24.6}{0.0821\times 300\times 40}=0.975$

(b) At high pressure, the compressibility factor is

$Z=1+\frac{b}{V-b}=1+\frac{0.125}{40-0.125}=1.003$

Hence, the correct option is $\text{A}$