Explanation Given: The density of carbon for BCC sheet, ρ C = 2.25 g / cm 3 . The density of iron for BCC sheet, ρ Fe = 7.87 g / cm 3 . The weight percentage of first surface carbon for BCC sheet, C C A = 0.015 wt% . The weight percentage of second surface carbon for BCC sheet, C C B = 0.0068 wt% . The weight percentage of iron for BCC sheet, C Fe = ( 100 − C C ) . The diffusion flux for BCC sheet, J = 7.36 × 10 − 9 kg / m 2 s . The higher position of concentration side, x A = 0 mm . The lower position of concentration side, x B = 2 mm . Explanation: Determine the conversion of weight percentage to mass percentage unit volume. C ″ 1 = ( C C A C C A ρ C + C Fe ρ Fe ) × 10 3 (I) C ″ 2 = ( C C B C C B ρ C + C Fe ρ Fe ) × 10 3 (II) Write the expression of the diffusion flux of steel sheet. J = − D Δ C Δ x D = − J [ x A − x B C A − C B ] (III) Conclusion: For carbon percentage of 0.015 wt% . Substitute 0.015 wt% for C C A , ( 100 − C C A ) for C Fe , 2.25 g / cm 3 for ρ C , and 7.87 g / cm 3 for ρ Fe in Equation (I). C ″ 1 = ( ( 0.015 wt% ) ( 0.015 wt% ) ( 2.25 g / cm 3 ) + ( 100 − 0.015 wt% ) ( 7.87 g / cm 3 ) ) × 10 3 = ( ( 0.015 ) 0.006667 + 12.70457 ) × 10 3 = 1.18 kg c / m 3 For carbon percentage of 0

Fundamentals of Materials Science and Engineering, Binder Ready Version: An Integrated Approach

5th Edition

ISBN: 9781119175483

Author: William D. Callister Jr., David G. Rethwisch

Publisher: WILEY

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Question

Chapter 6.8, Problem 10QP

To determine

To compute:

The diffusion coefficient of the BCC sheet.

Expert Solution & Answer

Chapter 6 Solutions

Fundamentals of Materials Science and Engineering, Binder Ready Version: An Integrated Approach

Ch. 6.8 - Prob. 1QP Ch. 6.8 - Prob. 2QP Ch. 6.8 - Prob. 3QP Ch. 6.8 - Prob. 4QP Ch. 6.8 - Prob. 5QP Ch. 6.8 - Prob. 6QP Ch. 6.8 - Prob. 7QP Ch. 6.8 - Prob. 8QP Ch. 6.8 - Prob. 9QP Ch. 6.8 - Prob. 10QP

Ch. 6.8 - Prob. 11QP Ch. 6.8 - Prob. 12QP Ch. 6.8 - Prob. 13QP Ch. 6.8 - Prob. 14QP Ch. 6.8 - Prob. 15QP Ch. 6.8 - Prob. 16QP Ch. 6.8 - Prob. 17QP Ch. 6.8 - Prob. 18QP Ch. 6.8 - Prob. 19QP Ch. 6.8 - Prob. 20QP Ch. 6.8 - Prob. 21QP Ch. 6.8 - Prob. 22QP Ch. 6.8 - Prob. 23QP Ch. 6.8 - Prob. 24QP Ch. 6.8 - Prob. 25QP Ch. 6.8 - Prob. 26QP Ch. 6.8 - Prob. 27QP Ch. 6.8 - Prob. 28QP Ch. 6.8 - Prob. 29QP Ch. 6.8 - Prob. 30QP Ch. 6.8 - Prob. 31QP Ch. 6.8 - Prob. 32QP Ch. 6.8 - Prob. 33QP Ch. 6.8 - Prob. 34QP Ch. 6.8 - Prob. 35QP Ch. 6.8 - Prob. 36QP Ch. 6.8 - Prob. 37QP Ch. 6.8 - Prob. 38QP Ch. 6.8 - Prob. 39QP Ch. 6.8 - Prob. 40QP Ch. 6.8 - Prob. 41QP Ch. 6.8 - Prob. 42QP Ch. 6.8 - Prob. 43QP Ch. 6.8 - Prob. 44QP Ch. 6.8 - Prob. 45QP Ch. 6.8 - Prob. 46QP Ch. 6.8 - Prob. 47QP Ch. 6.8 - Prob. 1DP Ch. 6.8 - Prob. 2DP Ch. 6.8 - Prob. 3DP Ch. 6.8 - Prob. 4DP Ch. 6.8 - Prob. 5DP Ch. 6.8 - Prob. 1FEQP Ch. 6.8 - Prob. 2FEQP

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