(20 Points) A gas cylinder of 1m3 volume containing nitrogen initially at a pressure of 40bar and a temperature of 200K is connected to another cylinder of 1 m3 volume that is evacuated. A valve between the two cylinders is opened until the pressures in the cylinders equalize. Find the final temperature and pressure in each cylinder if there is no heat flow into or out of the cylinders or between the gas and the cylinder. You may assume that the gas is ideal with a constant-pressure heat capacity of 29.3J/(molK)