2) (40 pts) An alligator that has been warming in the sun swimsinto cold water. Calculate the following parameters, if thealligator temperature (underneath the scales) is 33 °C and thewater temperature is 15 °C. Assume the pathway for heat transportis through the thick scales (with conductance of 0.5 mol m-2 s -1 )and then through a thin boundary layer in the water (withconductance of 1 mol m-2 s -1 ). Ignore radiative effects and viewfactor considerations, and assume there is no fluid movement, justdiffusion (ie, no forced or free convection).

a) What is the total conductance to heat loss?

b) What is the convective heat loss in Watts per squaremeter?

c) Now imagine that a python swallows the alligator whole, andthat the python has a resistance to heat loss of 3 m2 s mol-1 .What is the new total conductance of the alligator-pythoncombination to heat loss? (hint – this just adds a third serieselement to the conductances – assume the boundary layer conductancestill applies and does not change).

d) What is the new convective heat loss from the alligator tothe water (through the python)?

e) How would your answer to c) change if the python’s resistancewas a parallel combination of 3 m2 s mol-1 through the spots, and15 m2 s mol-1 through the spot-free areas?

f) What is the convective heat loss in e)?