The piston cylinder arrangement shown contains a diatomic gas at temperature 300 K The cross sectinal area of the cylinder is 1m2. Initially the height of the piston above th base of the cyclinder is 1 m. The temperature is now raised to 400 K at constant pressure. There is no heat loss in the process..

Find the new height (in m) of the piston above the base of the cylinder.

Answer

`4//3`

Explanation

At constant pressure, `V prop T`
or `V_2 /V_1 = T_2/T_1" or "(Ah_2)/(Ah_1) = T_2/T_1 " ":." "h_2 = h_1(T_2/T_1) = (1.0)((400)/300) m = 4/3 M`
As there is no heat loss, process is adiabatic.