5. (20points) A perfectly insulated container initially contains 0.2 kg of ice at -10 *C. Now we add water at 40 *C, but only the minimum amount needed to barely melt all the ice. Find the net entropy change of the universe. Possible relevant quantities: Ice heat capacity 2100 J/(kg) (K) ; water heat capacity 4190 J/(kg)(K) ; H2O latent heat of fusion 334,000 J/(kg) ; H20 latent heat of vaporization 2,256,000 J/(kg)