The diffusion coefficients for species A in metal B are given at two temperatures: T (°C) D (m2/s) 1020 8.63 × 10-17 1250 8.50× 10-16 (a) Determine the value of the activation energy Qd (in J/mol). (b) Determine the value of D0.(c) What is the magnitude of D at 1160°C?
The diffusion coefficients for species A in metal B are given at two temperatures: T (°C) D (m2/s) 1020 8.63 × 10-17 1250 8.50× 10-16 (a) Determine the value of the activation energy Qd (in J/mol). (b) Determine the value of D0.(c) What is the magnitude of D at 1160°C?
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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The diffusion coefficients for species A in metal B are given at two temperatures:
| T (°C) | D (m2/s) | |
| 1020 | 8.63 × 10-17 | |
| 1250 | 8.50× 10-16 |
(a) Determine the value of the activation energy Qd (in J/mol). (b) Determine the value of D0.(c) What is the magnitude of D at 1160°C?
Expert Solution
Step 1
Given Details,
| T (°C) | D (m2/s) | |
| 1020 | 8.63 × 10-17 | |
| 1250 | 8.50× 10-16 |
In solid-diffusion, the Diffusivity is directly co-related with temperature and it increases exponentially with respect to temperature.
The relation between diffusivity and temperature is given as:
...(1)
D= diffusion coefficient
QD = activation energy in J/mol
R = gas constant = 8.314 J/K.mol
T = temperature in Kelvin
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