Air (γ = 1.4) is pumped at 2 atm pressure in a motor tyre at 20°C. If the tyre suddenly bursts, what would be the temperature of the air coming out of the tyre. Neglect any mixing with the atmospheric air.

Given γ = 1.4,

Initial pressure, P1=2 atm

Final pressure, P2=1 atm

Initial Temperature, T1=20°C=293 K

Here bursting of tire is an adiabatic process,