(a) Liquid water inside a closed cylinder is being compressed until its temperature rises to 35C. (i) Explain whether this information is sufficient to determine the internal energy of water. (ii) Show the value and the appropriate steps to determine this property. ( 5 marks) (b) A polytropic process is defined as PVn=C, where n is polytropic index and C is a constants. Derive the equation for a boundary work of an ideal gas undergoing a polytropic process at isothermal condition. (5 marks) (c) Air with mass of 2.4kg at 150kPa and 120C is contained in a frictionless piston-cylinder device. The air is now compressed to a final pressure of 600kPa. During the process, heat is allowed to transfer from the air inside the cylinder to the surrounding so that the temperature inside the cylinder remains constant. Calculate the work input during this process. (10 marks)