Molar volume ( ) of a van der Waals gas can be calculated by expressing the van der…

CHEMISTRY · Subjective · IB Diploma Programme · Chemistry · Ideal gases · Ideal gases

Problem

Molar volume (

V_m

) of a van der Waals gas can be calculated by expressing the van der Waals equation as a cubic equation with

V_m

as the variable. The ratio (in mol dm

^{-3}

) of the coefficient of

V_m^2

to the coefficient of

V_m

for a gas having van der Waals constants

a = 6.0\,\text{dm}^6\,\text{atm mol}^{-2}

and

b = 0.060\,\text{dm}^3\,\text{mol}^{-1}

at 300 K and 300 atm is _____. Use: Universal gas constant (

R

) =

0.082\,\text{dm}^3\,\text{atm mol}^{-1}\,\text{K}^{-1}