Two teenagers and their parents are vacationing at the beach. After a hot day out on the sands, they come in and take showers at the same time. The maximum power output of the hot water heater is 23 kW and when all 4 showers are turned on simultaneously, the water flows at a rate of 1.38 x 10-4 m/s in each of the bathrooms. If the water flowing out of each showerhead is at 19.3C, what is the temperature of the water going into the heater? The specific heat of water is 1 kcal/(kg C). Suppose you walk into a sauna that has an ambient temperature of 41.5C, your skin has a temperature of 37.0C, an emissivity of 0.98, and the surface area of your body is 1.40 m2. If all other forms of heat transfer are balanced (net zero), at what rate will your body temperature increase if your mass is 66 kg? (Assume 3500 J/(kg C) is the specific heat of the human body.)