Work in isothermal expansion of CO2 using van der Waals equation

[subtletuna]

Homework Statement

Consider a reversible isothermal expansion of two moles of CO2 from 1 L to 60 L at 298 K. Assume that CO2 obeys an equation of state P = nRT/(V − nb) − n2a/V 2 with b = .04286 L mol−1 and a = 3.658 L2 bar mol−2.
(a) Calculate W.

Homework Equations

P = nRT/(V − nb) − n^(2)a/V^2

The Attempt at a Solution

dW = -PextdV
W = -P[(int from V1 to V2)dV
= -P(60L-1L)
My issue here is, I don't know how to find P. The Van der Walls gas equation is posted above, my only issue is I don't know which V to use... Initial? Final? The difference of the two?
Thanks for the help!

 

[jack action]

P is a function of V (the one given in your problem). You have to integrate THAT function from 1 L to 60 L.