The steady state temperature distribution in a one-dimensional wall of thermal conductivity 50 W/(m K) and thickness of 100mm is observed to be T(°C)=a+bx2 where a = 200°C, b= -3000 °C/m2, and x is in meters. (a) What is the heat generation rate ?̇ in the wall? (b) Determine the heat fluxes at the two wall faces (x=0 and x=L). In what manner are these related to the heat generation rate?

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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The steady state temperature distribution in a one-dimensional wall of thermal conductivity 50 W/(m K) and thickness of 100mm is observed to be T(°C)=a+bx2 where a = 200°C, b= -3000 °C/m2, and x is in meters.
(a) What is the heat generation rate ?̇ in the wall?
(b) Determine the heat fluxes at the two wall faces (x=0 and x=L). In what manner are these related to the heat generation rate?

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