A sheet of steel with 3.5-mm thickness has a nitrogen atmospheres on both sides at 900°C and is permitted to achieve a steady-state diffusion condition. The diffusion flux is found to be (1.0 ×10^-7 )kg/m^2×second.Also it is known that the concentration of nitrogen in steel at the high-pressure surface is 2 kg/m^3.How far into the sheet from this high-pressure side will the concentration be 0.5 kg/m^3?Assume a linear concentration profile.

Question

A sheet of steel with 3.5-mm thickness has a nitrogen atmospheres on both sides at 900°C and is permitted to achieve a steady-state diffusion condition. The diffusion flux is found to be (1.0 ×10^-7 )kg/m^2×second.
Also it is known that the concentration of nitrogen in steel at the high-pressure surface is 2 kg/m^3.
How far into the sheet from this high-pressure side will the concentration be 0.5 kg/m^3?
Assume a linear concentration profile.

Step 1

This problem can be solved by using the following formula:

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