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For a steel alloy it has been determined that a carburizing heat treatment of 10 h duration will raise the carbon concentration to 0.45 wt% at a point 2.5 mm from the surface. Estimate the time necessary to achieve the same concentration at a 5.0 mm position for an identical steel and at the same carburizing tempera

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Answer:

[tex]t_2=40h[/tex]

Explanation:

We need to bring to mind the non steady equation,

[tex]\frac{x^2_1}{Dt_1}=\frac{x^2_2}{Dt_2}[/tex]

[tex]\frac{x2^_1}{t_1}=\frac{x^2_2}{t_2}[/tex]

We need to write this simplified non steady equation for the two different condition, so

[tex]\frac{x^2_1}{t_1}=\frac{x^2_2}{t_2}[/tex]

[tex]\frac{2.5^2mm}{10h}=\frac{5^2mm}{t_2}[/tex]

[tex]t_2=25*\frac{19}{6.25}[/tex]

[tex]t_2=40h[/tex]

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