Chapter 5, Problem 5.66P

Interpretation Introduction

Interpretation:

The time required for the steel part to operate in the oxidizing environment needs to be determined.

Concept introduction:

Time can be calculated by using Fick's Law as follows:

$\frac{C_s-C_x}{C_s-C_o}=erf\left(\frac{x}{2\sqrt{Dt}}\right)$

$\begin{array}{l}\text{Here,}{C}_s=\mathrm{Constant}Concentration\\ C_x=\text{Initial}\text{Concentration}\\ C_o=\text{Diffusion}\text{Concentration}\text{at}x\\ x=\text{Depth}\\ D=\text{Diffusion}\text{Coefficient}\\ t=\text{Time }\text{required}\end{array}$