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Q. Boyle's temperature and inversion temperature are related as

States of Matter

Solution:

Boyle's temperature is the temperature at which real gases obey ideal gas equation over an appreciable range of pressure.
It is given as, $T_{B}=\frac{a}{R b}$
Inversion temperature is the temperature at which no heating or cooling of gas can occur. It is given as
$ T_{i}=\frac{2 a}{R b}$
$\therefore T_{i} =2 T_{B}$