Calculate the pressure exerted by ar for a molar volume of 0.470 l⋅mol−1 at 295 k using the van der waals equation of state. the van der waals parameters a and b for ar are 1.355 bar⋅dm6⋅mol−2 and 0.0320 dm3⋅mol−1, respectively.

The van der Waals equation is given as:

 -(1)

where, P is pressure, T is temperature, V is volume, R is universal gas constant, n is number of moles, and a and b are van der Waals constant.

Given values are:

Volume, V = 0.470 L

Number of moles, n = 1 mol

Temperature, T = 295 K

van der Waals constant, a = and b =

Substituting the values in equation (1):

Hence, the pressure exerted by using the van der Waals equation  is .

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