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Second Virial Coefficient of Molecules with Interacting Potential of Φ(r) = −ε ln(1 + A exp(−r/a))

Second Virial Coefficient of Molecules with Interacting Potential of Φ(r) = −ε ln(1 + A exp(−r/a))

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Question:
We are given an intermolecular potential Φ(r) of the form

Φ(r) = −ε ln(1 + Ae−r/a )

where ε, a and A are three parameters. Calculate at the temperature T = ε/2kB the second virial coefficient of a gas of molecules interacting with this potential.

 

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