# Virial equation

PVm=RT(1+B'p+C'p^2+.....)(the virial equation expanded in pressure) and PVm=RT(1+B/Vm+C/Vm^2+......)(the virial equation expanded in 1/ Vm )are expansions in p and 1/Vm,respectively. Find the relation between B, C and B′, C′.

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#### Solution Preview

p * Vm = RT (1 + B' p + C' p^2 + ...) is a polynomial with the p as the variable

p Vm / RT = 1 + B' p + C' p^2 + ... --- (1)

p * Vm = RT [1 + B (1/Vm) + C (1/Vm)^2 + ...] is a polynomial with Vm as the variable

p Vm / RT = 1 + B (1/Vm) + C (1/Vm)^2 + ... --- (2)

Solving the second equation for p, we get

p = RT [(1/Vm) + B ...

#### Solution Summary

The expert examines virial equations expanded. A complete, neat and step-by-step solution is provided.

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