A sheet of steel 1.5 mm thick has nitrogen atmospheres on both sides at 1200°C and is per- mitted to achieve a steady-state diffusion con- dition. The diffusion coefficient for nitrogen in steel at this temperature is 6 × 10¬" m²/s, and the diffusion flux is found to be 1.2 X 10-7 kg/m² • s. Also, it is known that the con- centration 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.
A sheet of steel 1.5 mm thick has nitrogen atmospheres on both sides at 1200°C and is per- mitted to achieve a steady-state diffusion con- dition. The diffusion coefficient for nitrogen in steel at this temperature is 6 × 10¬" m²/s, and the diffusion flux is found to be 1.2 X 10-7 kg/m² • s. Also, it is known that the con- centration 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.
Chapter34: Miscellaneous Separation Methods
Section: Chapter Questions
Problem 34.14QAP
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Transcribed Image Text:|A sheet of steel 1.5 mm thick has nitrogen
|atmospheres on both sides at 1200°C and is per-
mitted to achieve a steady-state diffusion con-
|dition. The diffusion coefficient for nitrogen
in steel at this temperature is 6 x 10-" m²/s,
and the diffusion flux is found to be 1.2 x
10-7 kg/m² - s. Also, it is known that the con-
centration 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.
Carbon is allowed to diffuse through a steel
plate 15 mm thick. The concentrations of car-
bon at the two faces are 0.65 and 0.30 kg C/m³
Fe, which are maintained constant. If the pre-
exponential and activation energy are 6.2 x
10-7 m/s and 80,000 J/mol, respectively, com-
pute the temperature at which the diffusion
flux is 1.43 x 10-° kg/m² · s.
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