10 kg of pure ice at –10°C is separated from 6 kg of pure water at 10°C in an adiabatic chamber using a thin adiabatic membrane. Upon rupture of the membrane, ice and water mix uniformly at constant pressure. At this pressure, the melting temperature of ice is 0°C and the latent heat of melting is 335kJ/kg. The mean specific heat at constant pressure for ice and water are respectively 2.1 kJ/kg - K and 4.2 kJ/kg - K.
(i) Sketch the systems before and after mixing.
(ii) What is the final equilibrium temperature of the system after the completion of the mixing process?
(iii) Estimate the change of entropy of the universe due to the mixing.
(iv) Is the final phase of the system solid ice, liquid water or ice - water mixture?