A tank of 0.1 m³ volume initially containing nitrogen at 25^◦C and 1 bar will be filled with compressed nitrogen at a rate of 20 mol/s. The nitrogen coming from the compressor and into the tank is at an absolute pressure of 110 bar and a temperature of 80^◦C. The filling process occurs sufficiently rapidly that there is negligible heat transfer between the gas and the tank walls, and a valve is closed to stop the filling process when the pressure in the tank reaches 100 bar. Assuming nitrogen is an ideal gas with C^∗_P = 29.3 J/(mol K),

a. What is the nitrogen temperature immediately after the filling process ends? 

b. How long did it take for the pressure of the gas in the tank to reach 100 bar?

c. After a sufficiently long period of time, due to heat transfer with the surroundings, the temperature of the gas drops to 25^◦C. What is the pressure of the nitrogen in the tank?