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?

This question belongs to Metallurgical Engineering Physical Metallurgy

Physical Metallurgy

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 & Solution

Correct Answer: Option D

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