A certain quantity of real gas occupies a volume of 0 . 15 dm ^ 3...

The compressibility factor (Z) is given as:

$Z = \dfrac{PV}{nRT}$

$n = \dfrac{PV}{ZRT}$

${Z}_{1} = 1 . 07, {P}_{1} = 100atm, {V}_{1} = 0 . 15L, {T}_{1} = 500K{Z}_{2} = 1 . 4, {P}_{1} = 300atm, {V}_{2} = ? , {T}_{2} = 300K$

$\dfrac{{Z}_{1}}{{Z}_{2}} = \dfrac{{P}_{1}{V}_{1} \times {T}_{2}}{{T}_{1} \times {P}_{2}{V}_{2}}$

$\dfrac{1 . 07}{1 . 4} = \dfrac{100 \times 0 . 15 \times 300}{500 \times 300 \times {V}_{2}}$

${V}_{2} = 0 . 03925{dm}^{3}$