Two surfaces of a 2-cm-thick plate are maintained at 0 degree C and 80 degree C,

Question

Two surfaces of a 2-cm-thick plate are maintained at 0 degree C and 80 degree C, respectively. If it is determined that heat is transferred through the plate at a rate of 500 W/m^2, determine its thermal conductivity. a) Draw a figure showing the plate and all the relevant heat transfer mechanisms (with basic governing equations) to from and through the plate; define all the terms in the equations with units and show where each applies b) Solve the appropriate equation for the thermal conductivity with no numbers (only symbols) c) Plug appropriate numbers into the equation to get the thermal conductivity

Explanation / Answer

16 -20) Q = kA dt/dx

where k = thermal conductivity of the material

A = cross sectional area

dt/dx = rate of change of temperature

500 = k*1 * (80 - 0) / 0.02

k = 0.125 W/m K

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