Chapter 5, Problem 5.64P

Interpretation Introduction

Interpretation:

The carbon content needed at the steel surface needs to be determined, if 0.02% C steel is carburized at ${1200}^{\circ }\text{C}$ in time 4 hours. The carbon content at 0.6 mm below the surface is 0.45% C.

Concept introduction:

Fick's second law equation is given as follows:

$\frac{Cs-Cx}{Cs-Co}=erf(\frac{x}{2\sqrt{Dt}})$

Here,

Cs = constant concentration of diffusing atoms at the surface

Co = uniform concentration of diffusing atom

D = diffusion coefficient

T = time required