Boyle temperature and inversion temperature are related as
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Boyle temperature. The Boyle temperature is formally defined as the temperature for which the second virial coefficient, becomes zero. It is at this temperature that the attractive forces and the repulsive forces acting on the gas particles balance out. This is the virial equation of state and describes a real gas.
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Inversion temperature is double of Boyle's temperature. Boyle temperature is the temperature at which normal gases start to behave like ideal gases( due to the absence of both attractive and repulsive forces at that temperature).
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