Atank has a volume of 0.1 m3 and is filled with he gas at a pressure of 5 x 106 pa. a second tank has a volume of 0.15 m' and is filled with he gas at a pressure of 6 x 106 pa. a valve connecting the two tanks is opened. assumıng he to be a monatomic ideal gas and the walls of the tanks to be adiabatic and rigıd, find the final pressure of the system hint: note that the internal energy is constant.

Explanation:

Consider that, as the system is adiabatic, where U1 and U2 are the internal energies before the process and after that respectively.

Consider that: , and that the internal energy of the first state is the sum of the internal energy of each tank.

So,

Where A y B are the tanks. The enthalpy for an ideal gas is only function of the temperature, as the internal energy is too; so it is possible to assume:

So,

Isolating ,

So,