Question 8 A sheet of steel 3 mm thick is exposed on one side to a nitrogen-rich atmosphere at 1200°C and is permitted to achieve a steady-state diffusion condition. It is known that from the high- pressure nitrogen-rich side, the concentration of nitrogen on the steel surface is 6 kg/m. The diffusion coefficient for nitrogen in steel at this temperature is 5x1011 m²/s, and the diffusion flux is found to be 1.6 x 107 kg/m² s. How far into the sheet from this high-pressure side will the concentration be 2.0 kg/m³? Assume a linear concentration profile.

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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Question 8
A sheet of steel 3 mm thick is exposed on one side to a nitrogen-rich atmosphere at 1200°C
and is permitted to achieve a steady-state diffusion condition. It is known that from the high-
pressure nitrogen-rich side, the concentration of nitrogen on the steel surface is 6 kg/m³. The
diffusion coefficient for nitrogen in steel at this temperature is 5x10-11 m²/s, and the diffusion
flux is found to be 1.6 x 107 kg/m² s. How far into the sheet from this high-pressure side will
the concentration be 2.0 kg/m³? Assume a linear concentration profile.
The Fick's first law is given by the equation:
dC
J = - D
dx
Transcribed Image Text:Question 8 A sheet of steel 3 mm thick is exposed on one side to a nitrogen-rich atmosphere at 1200°C and is permitted to achieve a steady-state diffusion condition. It is known that from the high- pressure nitrogen-rich side, the concentration of nitrogen on the steel surface is 6 kg/m³. The diffusion coefficient for nitrogen in steel at this temperature is 5x10-11 m²/s, and the diffusion flux is found to be 1.6 x 107 kg/m² s. How far into the sheet from this high-pressure side will the concentration be 2.0 kg/m³? Assume a linear concentration profile. The Fick's first law is given by the equation: dC J = - D dx
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