A spherical balloon contains 2 kg of water at 230 degrees C, 400 kPa (the specific volume is 0.5951 m^3/kg). The balloon material is elastic and the pressure inside is always proportional to the valloon diameter. The water is now allowed to cool until the volume is 30.79% of the initial volume. (1) I shte cooling process polytropic? If so, what is the value of n? (2) Find the final state pressure. (3) Compute the work done for this process considering the water as a closed system.