In an emergency, it is sometimes the practice of medical professionals to immerse a patient who suffers from heat stroke in an ice bath, a mixture of ice and water in equilibrium at 0°C, in order to reduce her body temperature. 

(a) If a 75 kg patient whose body temperature is 40.8°C must have her temperature reduced to the normal range, how much heat must be removed? 

(b) If she is placed in a bath containing 7.5 kg of ice, will there be ice remaining in the bath when her body temperature is 37.0°C? If so, how much? If not, what will the final water temperature be?