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Answer.
Boyle’s temperature is named after physicist Robert Boyle. Formerly, it was defined differently. The temperature where the second virial coefficient B2(T) becomes 0 was considered as Boyle’s temperature.
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The virial equation for a real gas stands:
Higher order virial coefficients are much smaller than the second term and hence real gases starts acting like ideal gases on and after Boyle’s temperature within a wide range of pressures.
When the pressure is very low, (i.e. P → 0), the second virial coefficient becomes the only relevant coefficient since the higher order terms are much much smaller. In that case, the relation of pressure (P) with the compressibility factor (Z) becomes:
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