Class 11 NEET Physics Thermodynamics and Kinetic Theory

For an adiabatic process,
PVγ= constant ...(i)
According to ideal gas equation
PV=nRT
⇒P=

nRT

V

Putting value of P in (i), we get

nRT

V

Vγ=constant;
∴TVγ−1=constant
Again from the ideal gas equation
V=

nRT

P

Putting value of V in (i), we get
P(

nRT

P

)γ= constan;t
P1−γTγ= constant