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A large block of steel is placed inside of a furnace set at 1980°C. If it is assum that the surface temperature of the steel instantly takes on the temperature of th furnace and remains constant, what is the time required for the steel to reach 1000°C at a depth of 10 cm? Given: Ksteel = 63.9W/m k, Csteel = 434 J/kg k, Psteel = 7832 kg/m³, Osteel = 18.8 x 10-6 m²/s (State all assumptions and Show All Work)

A large block of steel is placed inside of a furnace set at 1980°C. If it is assum that the surface temperature of the steel instantly takes on the temperature of th furnace and remains constant, what is the time required for the steel to reach 1000°C at a depth of 10 cm? Given: Ksteel = 63.9W/m k, Csteel = 434 J/kg k, Psteel = 7832 kg/m³, Osteel = 18.8 x 10-6 m²/s (State all assumptions and Show All Work)

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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I got t=531.96 seconds is that right 

5. A large block of steel is placed inside of a furnace set at 1980°C. If it is assumed that the surface temperature of the steel instantly takes on the temperature of the furnace and remains constant, what is the time required for the steel to reach 1000°C at a depth of 10 cm? Given: Ksteel = 63.9W/m k, Csteel = 434 J/kg k, Psteel = 7832 kg/m³, Osteel = 18.8 x 10-6 m²/s (State all assumptions and Show All Work)
Transcribed Image Text:5. A large block of steel is placed inside of a furnace set at 1980°C. If it is assumed that the surface temperature of the steel instantly takes on the temperature of the furnace and remains constant, what is the time required for the steel to reach 1000°C at a depth of 10 cm? Given: Ksteel = 63.9W/m k, Csteel = 434 J/kg k, Psteel = 7832 kg/m³, Osteel = 18.8 x 10-6 m²/s (State all assumptions and Show All Work)
Expert Solution
Step 1

Given

             Density = 7832 kg/m3

Temperature, T1 = 1980oC

                      T2 = 1000oC

Thermal conductivity = 63.9 W/m.K

                        Depth = 10 cm = 0.1 m

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  Time taken

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