The amount of heat per second conducted from the blood capillaries beneath the skin to the surface is $270\frac{J}{s}.$ The energy is transferred a distance of $2\mathrm{.}3{10}^{-3}m$ through a body whose surface area is $2\mathrm{.}0m^2.$ Assuming that the thermal conductivity is that of body fat, determine the temperature difference between the capillaries and the surface of the skin.

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