Answered: 6. A sheet of steel 1.5 mm thick has…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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6. A sheet of steel 1.5 mm thick has nitrogen atmospheres on both sides at 1200C and is
permitted to achieve a steady-state diffusion condition. The diffusion coefficient for
nitrogen in steel at this temperature is 6  10-11 m2/s, and the diffusion flux is found to be
1.2  10-7 kg/m2-s. Also, it is known that the concentration of nitrogen in the steel at the
high-pressure surface is 4 kg/m3. How far into the sheet from this high-pressure side will
the concentration be 2.0 kg/m3? Assume a linear concentration profile.

Expert Solution

Step 1

Write the given data.

$\begin{array}{rcl} Thickness of steel, t & = & 1.5 mm \\ Diffusion coefficient, D & = & 6 \times 10^{- 11} m^{2} / s \\ Diffusion flux, J & = & 1.2 \times 10^{- 7} kg / m^{2} s \\ Initial concentration, C_{i} & = & 4 kg / m^{3} \\ Final concentration, C_{f} & = & 2 kg / m^{3} \end{array}$

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