What is Boyle's temperature?

What is Boyle temperature ? Write its dependence on 'a' and 'b' .

At Boyle temperature,

At Boyl temperatur

Inversion temperature (Ti=2aRb) is defined as the temperature above which if gas is expanded adiabatically it gets warm up but if temperature of gas is lower than Ti then it will cool down. What will happen to gas if it is adiabatically expanded at 50∘C if its Boyle's temperature is 20∘C

Inversion temperature of a gas is how many times the Boyle's temperature?

Which one of the following represents Boyle's temperature of a gas?

The volume to be excluded due to only two molecules of a gas in collision with a fixed point of impact is (0.09)/N_(A) litre (NA = Avogadro number). If the value of 'a' is 3.6 atm L^(2) mol^(-2) , then the value of Boyle's temperature is, 10^(x) K. What is the value of 'x' ? (R = 0.08 L atm K^(-1) m^(-1) )