The relation between pressure and temperature of a monoatomic gas in an adiabatic process is P prop T^(-C), where C = ____

The relation between pressure and temperature of a monoatomic gas in a

1.	The relation between pressure and temperature of a monoatomic gas in an adiabatic process is P prop T^(-C), where C = ____
Answer» `2/5` `5/2` `3/5` `5/3` SOLUTION :The relation between pressure and temperature in an adiabatic process, `P.T^(gamma/(1-gamma))` =constant `therefore P prop T^((1-gamma)/gamma)`, comparing it with `P prop T^(-C)` `therefore -C=(1-gamma)/gamma` `therefore C=(gamma-1)/gamma` For MONOATOMIC gas `gamma=5/3` `therefore C=(5/3-1)/(5/3)=(2/3)/(5/3)` `therefore C=2/5`