Chapter 5, Problem 5.69P

Interpretation Introduction

Interpretation:

The time required for carburizing heat treatment if the temperature of heat treatment is required from ${1200}^0\text{C}$ to ${950}^0\text{C}$ needs to be determined.

Concept introduction:

Time at a given temperature can be calculated by Fick's second law as follows:

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

Here,

Cs = constant concentration.

Cx = Concentration at depth x

Co = Initial concentration

X = Depth

D = Diffusion coefficient

T = Time