Conduction of heat

Priscilla

1. The problem statement, all variables and given/known data

A mountain climber has a body surface of 1.80 m2 and wears fibrous clothing 1.00 X 10-2 m thick. He has a skin temperature of 33.1 ºC while the outer surface of his clothing is at 273.15 K. Calculate the total rate of conduction of heat through his clothing in Watts,
(a) taking the thermal conductivity of his dry clothing to be 0.0400 W m-1 K-1,
(b) assuming that that clothing is wet through and that the appropriate thermal conductivity is that of water (0.61 W m-1 K-1).

2. Relevant equations

P=kA (delta T/ delta x)

3. The attempt at a solution

a) P= (0.0400W/mK)(1.80m^2)[(33.1ºC - 0ºC)/ 1.00e-2 m) = 238.32W
b) P = (0.61W/mK)(1.80m^2)[(33.1ºC - 0ºC)/1.00e-2 m) = 3634.38W

Borek

Watch significant figures.