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Metallurgical Engineering · Q128

Physical Metallurgy

Engineering and GATE · Metallurgical Engineering · question 128

Q128

A steel specimen containing 0.2 wt.% C is carburized in an atmosphere that maintains a carbon content of 1.2 wt.% C at the surface of the specimen. Given: For carbon diffusion in austenite: D0 = 2.0 × 10-5 m2/s Activation energy for diffusion, Q = 142 kj/mol y erf(y) 0.85 0.7707 0.90 0.7970 0.95 0.8209 What is the depth (in (μm) from the surface of the specimen at which a composition of 0.4wt.% C is obtained after carburizing at 870°C for 10 h?

A steel specimen containing 0.2 wt.% C is carburized in an atmosphere that maintains a carbon content of 1.2 wt.% C at the surface of the specimen.
Given:
For carbon diffusion in austenite: D0 = 2.0 × 10-5 m2/s
Activation energy for diffusion, Q = 142 kj/mol
y erf(y)
0.85 0.7707
0.90 0.7970
0.95 0.8209
What is the depth (in (μm) from the surface of the specimen at which a composition of 0.4wt.% C is obtained after carburizing at 870°C for 10 h?
A.
15
B.
84
C.
113
D.
875
Answer

Answer: Option D

Solution

Answer: Option D
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