2) A very tall adiabatic cylinder, shown in the figure above, contains 0.200 kg of hydrogen gas and an 80.0 kg carbon steel chain in one chamber and vacuum in the other chamber. The two chambers are separated by an adiabatic 200 kg frictionless piston. The chain has a linear density of 1.00 kg/m. The specific heat of carbon steel is 490.0 J/kg-K, the gas constant for hydrogen is 4116 J/kg-K and the specific heat at constant volume for hydrogen is 10216 J/kg-K. Gravitational acceleration is 9.806 m/s2. In state 1, the temperature of the entire system is 200 K and the pressure of the gas is 461.4 kPa. At some point in time, the pin is pulled out of the piston allowing the piston to move freely within the cylinder. Eventually the piston comes to rest (state 2) and the lower piston surface is found to be 65 m away from the bottom of the cylinder. In either state, the portion of the chain has no kinks (in particular, the portion of the chain that does not rest on bottom of the cylinder is vertical). a. What is the final (state 2) temperature of the hydrogen gas? b. What is the final temperature of the chain? c. What is the initial distance between the piston and the bottom of the cylinder? d. What is the cross-sectional area of the piston? e. Is the process reversible? How much entropy was generated in process 1 to 2? Vacuum Insulating Piston Pin 6000E Gas Insulating Cylinder The chain does not touch the bottom of the cylinder in the