# During an adiabatic change for monoatomic gas the relation between pressure of gas and temperature T is P is proportional to T^x where x is

Arun
25758 Points
4 years ago
Dear Piyush

As we know
PV^$\gamma$ = constant
P (nRT/P)^$\gamma$ = const.
P^(1 -$\gamma$) proportional to T^(-$\gamma$)
P proportional to T^(-$\gamma$/1-$\gamma$)
Hence x = -$\gamma$/1-$\gamma$

Regards