(i) Explain the solid-state mechanism of ring-diffusion and an experiment that proves this mechanism to be wrong. [40%] (ii) Why is Fick's first law of diffusion not founded on firm physical principles and suggest an alternative that is more consistent with diffusion phenomena. [20%] (iii) A bar of nickel is coated at one end with a thin layer of copper. If the distance from the layer into the bar is labelled z, the penetration of Cu into nickel as diffusion proceeds varies with exp{-2}. However, if two bars, one of Cu and the other of Ni are connected longitudinally, then the penetration of Cu into Ni during diffusion varies as erf{-2}. Explain why this is so. [40%]

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
Question

need help with this phase transformations practise question

(i) Explain the solid-state mechanism of ring-diffusion and an experiment that proves
this mechanism to be wrong.
[40%]
(ii) Why is Fick's first law of diffusion not founded on firm physical principles and
suggest an alternative that is more consistent with diffusion phenomena. [20%]
(iii) A bar of nickel is coated at one end with a thin layer of copper. If the distance from
the layer into the bar is labelled z, the penetration of Cu into nickel as diffusion
proceeds varies with exp{-2}. However, if two bars, one of Cu and the other of
Ni are connected longitudinally, then the penetration of Cu into Ni during diffusion
varies as erf{-2}. Explain why this is so.
[40%]
Transcribed Image Text:(i) Explain the solid-state mechanism of ring-diffusion and an experiment that proves this mechanism to be wrong. [40%] (ii) Why is Fick's first law of diffusion not founded on firm physical principles and suggest an alternative that is more consistent with diffusion phenomena. [20%] (iii) A bar of nickel is coated at one end with a thin layer of copper. If the distance from the layer into the bar is labelled z, the penetration of Cu into nickel as diffusion proceeds varies with exp{-2}. However, if two bars, one of Cu and the other of Ni are connected longitudinally, then the penetration of Cu into Ni during diffusion varies as erf{-2}. Explain why this is so. [40%]
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