2. The steady state temperature distribution within a 0.2 m thick metal wall of thermal conductivity 1.18 W/m °C is represented by: T = 250 – 2750x²; where 'x' is the position in depth of the wall measured in meter. Tis in °C. The wall is losing heat from distant surface to the ambient air available at 30°C. Calculate: (i) Heat transfer coefficient at the surface (distant) of wall at x = 0.2 m. (ii) Prove that the other surface (entrance of heat) of the wall is insulated. (iii) If the height and width of the plate is 1 and 1.5 m, respectively, find the rate of heat transfer from the wall. Volumetric heat generation rate. (iv)

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
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2. The steady state temperature distribution within a 0.2 m thick metal wall of thermal conductivity
1.18 W/m °C is represented by: T = 250 – 2750x²; where 'x' is the position in depth of the wall
measured in meter. Tis in °C. The wall is losing heat from distant surface to the ambient air
available at 30°C.
Calculate: (i) Heat transfer coefficient at the surface (distant) of wall at x = 0.2 m.
(ii) Prove that the other surface (entrance of heat) of the wall is insulated.
(iii) If the height and width of the plate is 1 and 1.5 m, respectively, find the rate of heat
transfer from the wall.
(iv)
Volumetric heat generation rate.
Transcribed Image Text:2. The steady state temperature distribution within a 0.2 m thick metal wall of thermal conductivity 1.18 W/m °C is represented by: T = 250 – 2750x²; where 'x' is the position in depth of the wall measured in meter. Tis in °C. The wall is losing heat from distant surface to the ambient air available at 30°C. Calculate: (i) Heat transfer coefficient at the surface (distant) of wall at x = 0.2 m. (ii) Prove that the other surface (entrance of heat) of the wall is insulated. (iii) If the height and width of the plate is 1 and 1.5 m, respectively, find the rate of heat transfer from the wall. (iv) Volumetric heat generation rate.
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