## Question

###### Heat flow by conduction problem

Over what distance must there be heat flow by conduction from theblood capillaries beneath the skin to the surface if thetemperature difference is 0.45C°?Assume 190 Wmust be transferredthrough the whole body's surface area of 1.4 m

mm

^{2}.## Answers

Given thatThe rate of heat flow (ΔQ/Δt) =190WSurface area of body (A) =1.4m

^{2}The temperature difference is (ΔT)=T_{2}-T_{1}=0.45^{0}CThermal conductivity of sink (k) = 0.2J/s m^{0}CThe heat flow Q over a time interval t is given byΔQ/Δt=kA(T_{2}-T_{1})/LThen the distance between the two ends isL=kA(T_{2}-T_{1})/(ΔQ/Δt)Now substitute all the above values you get the requiredanswer

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