Hydrogen gas at 35ºC and unknown pressure (State 1) enters a steady, insulated system which has no work interaction with the surroundings. Half of the gas exits at 2 bar and 90ºC (State 2) and the other half exits at 2 bar and -20ºC (State 3). Consider hydrogen to be ideal gas with constant specific heats. Calculate the minimum possible inlet pressure (bar) of hydrogen gas.