The core temperature of the human body is 37.0 °C, and the skin, with a surface area of 1.40 m2, has a temperature of 34.0°C.

(a) Find the rate of heat transfer out of the body under the following assumptions: (i) The average thickness of tissue between the core and the skin is 1.20 cm; (ii) the thermal conductivity of the tissue is that of water.

(b) Without repeating the calculation of part (a), what rate of heat transfer would you expect if the skin temperature were to fall to 31.0 °C? Explain.