Berthelot equation of state - virial coefficient and taylor series

[sunkissed23]

Using the taylor series result

Vm / Vm - b = 1 + b / Vm + ...

and the definition of hte compressibility factor Z = PVm / RT, derive an expression for the first virial coefficient in terms of a and b for the Berthelot equation of state.

 

[gabbagabbahey]

Hi sunkissed23, welcome to PF!

As per forum rules (Which you agreed to when you signed up for your account! ), you need to make some attempt at the solution and/or explain where you are stuck. If you haven't done so already, I'd look up "Virial coefficients" in your text...