A 140 g aluminum cylinder is removed from a liquid nitrogen bath, where it has been cooled to -196°C. The cylinder is immediately placed in an insulated cup containing 90 g of water at 13.0°C, and the system is allowed to come to equilibrium. Determine if all of the water freezes. If so, find the equilibrium temperature. If not, find the amount of water that has frozen. The average specific heat of aluminum over this temperature range is 653 J/(kg·K).