Question

# Problem: Determine the carburizing time necessary to achieve a carbon concentration listed below at a position...

Problem: Determine the carburizing time necessary to achieve a carbon concentration listed below at a position listed below into an iron-carbon alloy that initially contains 0.11 wt% C. The surface concentration is to be maintained at 1.2 wt% C, and the treatment is to be conducted at the temperature listed below. Assume that Do = 6.2x10-5 m2/s and Qd = 166 kJ/mol. Utilize the Tabulation Error Function Value Table from your Examination Booklet.

--Given Values--
Position (mm) = 3.7
Temperature in Celsius = 1251
Final Concentration (wt%C) = 0.41

Part A:

Calculate the Gaussian Error function, erf(z), from Ficke's Second Law Formula (Round your answer to the ten thousandths place, 0.0000)

Part B:

Find the value for z utilizing the Error Function Table in your Examination Booklet. (Round your answer up to the tenthousandths place , 0.0000)

Part C:

Calculate D, the diffusion coefficient, in m2/s at the specified temperature. Write your answer in Scientific Notation.

Part D:

What is the carburizing time in hours?

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