The vanderwaal gas constant ‘a’ is given by | CHEMISTRY - BEHAVIOUR OF REAL GASES - DEVIATION FROM IDEAL GAS BEHAVIOUR | SolveeIt

The vanderwaal gas constant ‘a’ is given by

$\frac{1}{3}$ VC

$3P_{C}V_{C}^{2}$

$\frac{1}{8}\frac{RT_{C}}{P_{C}}$

$\frac{27}{64}\frac{R^{2}T_{C}^{2}}{P_{C}}$

Answer

$\frac{27}{64}\frac{R^{2}T_{C}^{2}}{P_{C}}$

Explanation

$P_{C} = \frac{a}{27b^{2}}$

${T_{C}}^{2} = \frac{64a^{2}}{37 \times 27R^{2}b^{2}}$

$V_{C} = 3b$ $\frac{T_{C}^{2}}{P_{C}} = \frac{64a^{2}}{27 \times 27R^{2}b^{2}} \times \frac{27b^{2}}{a}$

$T_{C} = \frac{8a}{27Rb}$ $a = \frac{27R^{2}T_{C}^{2}}{64P_{C}}$

Question: The vanderwaal gas constant ‘a’ is given by...