An ideal gas undergoing adiabatic change has the following

An ideal gas undergoing adiabatic change has the following pressure-temperature relationship

1. P^{γ - 1} T^γ = constant
2. P^γ T^{γ - 1} = constant
3. P^γ T^{1 - γ} = constant
4. P^{1 - γ} T^γ = constant

We know that in adiabatic process, PV^γ = constant....(1)
From ideal gas equation, we know that
PV = nRT

V =	nRT	.......(2)
	P

Puttingt the value from equation (2) in equation (1),

P		nRT		^γ	= constant
		P

P^{(1 - γ)} T^γ = constant