Value of diffusion D = 2.14*10^-13
Assuming non-steady state conditions, how long will it take to carburize a 1018 steel rod, 3 mm deep to a carbon content of 0.4 if using an atmosphere held at 2.5 wt% C at 1500 degrees Celsius? Assume gamma iron, use the tables below as needed. Show as much work as is reasonably possible. Partial credit may be given for an incorrect answer if work is shown in your response.
Error Function Values
Table 5.1: Tabulation of Error Function Values
erf(z) 0 0.0282
erf(2) 0.5633 0.6039 0.6420 0.6778 0.7112 0.7421 0.7707 0.7970 0.8209 0.8427 0.8802
erf(z) 0.9340 0.9523 0.9661 0.9763 0.9838 0.9891 0.9928 0.9953 1866'0 0.9993 0.9998
0 0.025
0.55 0.60 0.65 0.70 0.75 08'0 0.85 0.90 0.95 1.0 1.1
1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0 2.2 2.4 2.6
0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45
0.1125 0.1680 0.2227 0.2763 0.3286 0.3794 0.4284 0.4755