A gear of 1022 steel (0.22 wt. % C) is to be gas carburized at 927°C. Calculate the C concentration at 0.040 inches below the surface after a 4 h carburizing time. Assume the C content at the surface is 1.0 wt. %. DC = 1.28x10-11 m2/s at 927°C Solution C(x)-Co/(Csurface - Co) = 1 - erf (x/sqrt(2Dt)) Co= .2 here C surface = 1 C(x=0.04 in shud be found ) D is given t= 4 hrs = 4 *3600 seconds erf is a standart function ,we can find erf values in tables. google it out ull get very easily hence only unknown is C(x)which is the conc at 0.04 in below the surface of the gear can be found easily U CAN THE FIND THE ERF FUNCTION VALUES AThttps://controls.engin.umich.edu/wiki/images/c/c4/Table_Erf.pdf THANK YOU PLS RATE.

1. A gear of 1022 steel (0.22 wt. % C) is to be gas carburized at 927°C. Calculate the C
concentration at 0.040 inches below the surface after a 4 h carburizing time. Assume the C
content at the surface is 1.0 wt. %. DC = 1.28x10-11 m2/s at 927°C
Solution
C(x)-Co/(Csurface - Co) = 1 - erf (x/sqrt(2Dt))
Co= .2 here C surface = 1 C(x=0.04 in shud be found )
D is given
t= 4 hrs = 4 *3600 seconds
erf is a standart function ,we can find erf values in tables. google it out ull get very easily
hence only unknown is C(x)which is the conc at 0.04 in below the surface of the gear can be
found easily
U CAN THE FIND THE ERF FUNCTION VALUES
AThttps://controls.engin.umich.edu/wiki/images/c/c4/Table_Erf.pdf
THANK YOU PLS RATE