A 2.0 kg of water at 90 deg. C and 1 bar is placed in a vertical cylinder and sealed with a massless piston. The piston is perfectly insulated and is able to slide freely without friction. Both the piston and the cylinder have a diameter of 3.0 m. After placing the piston on the water at 90 deg. C and 1 bar, what is the height difference between the bottom of the cylinder and the piston? b. If you place an additional 4 bar of exetrnal pressure on the piston as detailed in question 1, what is the enthalpy of the water in the cylinder-piston system? Assume the temperature remains constant at 90 deg. C. c. Heat is pumped into the piston-cylinder as described in Question 1, until the the piston is 0.49 m above the cylinder bottom. The external pressure acting on the piston remains constant at 1 bar. Heat is then released from the system until the piston drops to a height of 0.07 m. How much heat is removed in this process? Answer in kJ and do not use a negative sign in your answer.