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Consider a slab of face area A and thickness L. Suppose that L = 20 cm,...

Consider a slab of face area A and thickness L. Suppose that L = 20 cm, A = 79 cm2, and the material is copper. If the faces of the slab are maintained at temperatures TH = 141°C and TC = 21°C, and a steady state is reached, find the conduction rate through the slab. The thermal conductivity of copper is 401 W/m·K.

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Answer #1
The rate of heat flow is given by

Pcond=kA.(Th-Tc)/L

where k is the thermal conductivity of copper (401 W/m•K), A is the cross-sectional area (in a plane perpendicular to the flow), L is the distance along the direction of flow between the points where the temperature is TH and TC.
k=401 W/m•K
L=79 cm2=79x10-4 m2
Th=141ºC
Tc=21ºC
L=20cm=.2m
Just Plug!

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