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(i) Derive an expression for the relation between heat loss and temperature difference across the inner and outer surfaces of a hollow sphere, the conductivity of which varies with temperature in manner given by k=k0 [1+a(T-T0)] , where T0 is a reference temperature.
(ii) Find the corresponding result for for a hollow cylinder.
(iii) Compare the expressions derived for parts (i) and (ii) for the special case of the outside radius becoming infinite. Explain the different values obtained.
gold foil is 0.08 mm thick and 670mm2 in area. a it is cubic with a0.4076nm. how many unit cells are there in the foil?
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