Berthelot equation of state - virial coefficient and taylor series

sunkissed23
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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.
 
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Hi sunkissed23, welcome to PF!:smile:

As per forum rules (Which you agreed to when you signed up for your account!:wink: ), 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...
 
To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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