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The virial equation doesn't give a whole lot of clarity to what the Boyle temperature actually represents however other than a temperature where virial properties magically go to zero.
https://chem.libretexts.org/Courses/Tusculum_University/CHEM_411%3A_Introductory_Chemical_Thermodynamics_(Pearson)/1%3A_Measurement_energy_and_the_quantites_of_state/1.7%3A_Connecting_the_van_der_Waals_and_the_viral_equations%3A_the_Boyle_temperature
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