During heavy exercise 2.0 liters of blood are pumped to the surface of a person

Question

During heavy exercise 2.0 liters of blood are pumped to the surface of a person per min. to carry away core heat. If the blood is cooled by 2.0 degrees Celesius at the surface, what is the rate of heat transfer in watts due to the blood flood (forced convection)? You may assume that the specific heat of blood is the same as that for water and that density of blood is 1.05 g/cm^3. Note that although the core and skin normally differ in temp. by 3-4 degrees Celesius, the blood will not be cooled by that much.

Explanation / Answer

heat lost Q = m*c*dT = D*V*C*dT

Q = 1.05*10^3*2*10^-3*4186*2

Q = 17581.2 J

rate of heat = H = Q/t

t = time = 1 min = 60 s

H = 17581.2/60

H =293.02 W

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