For one mole of a Vander waals gas when b = 0 and T = 300 K, the PV vs 1/V plot is shown below. The value of the Vander waal's constant a (atm. litre2mol

Engineering

Chemistry

Vander Waal Gas and compressibility Factor

Question

For one mole of a Vander waals gas when b = 0 and T = 300 K, the PV vs 1/V plot is shown below. The value of the Vander waal's constant a (atm. litre²mol^–2) is

3.0

1.5

1.0

4.5

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$(P + \frac{a}{V^{2}}) V = RT$

$PV = RT - \frac{a}{V}$

$Slope = - a = \frac{21 .6 - 24 .6}{2 - 0} = \frac{- 3}{2} = - 1 .5$

a = 1.5