In: Physics
Titanic: A passenger jumped into the freezing water of temperature -2ºC (2ºC below zero). The person was wearing 3 layers of clothes with the combined thickness of 1 cm, and the clothes’ emissivity was 0.87. The person’s mass was 65 kg, surface area was 1.75 m^2 , and the body’s specific heat was 3500 J/kgºC. Assume that the skin temperature of the person was always constant at 13ºC. The thermal conductivity of the water is 0.6 W/mK, and the Stefan-Boltzmann constant is ?? = 5.67 × 10−8 W/(m^2)(K^4). If the person’s body core temperature was dropped from the initial 36ºC to 20ºC in exactly 45 minutes, what was the heat generation rate of the person during those 45 minutes in the water? Assume that the body’s heat generation rate was constant for those 45 minutes, and consider only two heat loss mechanisms: the thermal radiation heat loss and conduction-convection heat loss.