Answered: A plane wall has a thermal conductivity…

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

Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart

Chapter1: Introduction

Section: Chapter Questions

Problem 1.1P

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Question

A plane wall has a thermal conductivity of 20 W/(m-K) and generates heat at 0.5 MW/m³. The wall is 0.2 meters thick and is perfectly insulated on one side. The other side is exposed to fluid at 100 °C. The convective heat transfer coefficient between the wall and the fluid is 400 W/(m² K). Determine the maximum temperature in the wall.

Expert Solution

Step 1

Given,

Outside temperature, $T_{\infty} = 100 ° C$

Thickness of the slab, $L = 0.2 m$

Heat transfer coefficient, $h = 400 W / (m^{2} \cdot K)$

Rate of heat transfer, $Q = 0.5 MW / m^{3}$

Thermal conductivity, $k = 20 W / mK$

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