Johnston and Gilman reported that in a grown LiF crystal that has been subjected to a constant stress of 10.8 MPa, the dislocation velocity at 249.1 K was 6×10-3 cm/s and at 227.3 K the velocity was 10-6 cm/s. They also observed that their data suggested an Arrhenius relationship between the dislocation velocity and the absolute temperature so that we can write where v is the dislocation velocity, A is a constant of proportionality, Q an effective activation energy in J/mol, and R is the universal gas constant (8.314 J/mol.K). Determine Q and A using the given data and the above equation.
Johnston and Gilman reported that in a grown LiF crystal that has been subjected to a constant stress of 10.8 MPa, the dislocation velocity at 249.1 K was 6×10-3 cm/s and at 227.3 K the velocity was 10-6 cm/s. They also observed that their data suggested an Arrhenius relationship between the dislocation velocity and the absolute temperature so that we can write where v is the dislocation velocity, A is a constant of proportionality, Q an effective activation energy in J/mol, and R is the universal gas constant (8.314 J/mol.K). Determine Q and A using the given data and the above equation.
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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Johnston and Gilman reported that in a grown LiF crystal that has been subjected to a constant stress of 10.8 MPa, the dislocation velocity at 249.1 K was 6×10-3 cm/s and at 227.3 K the velocity was 10-6 cm/s. They also observed that their data suggested an Arrhenius relationship between the dislocation velocity and the absolute temperature so that we can write
where v is the dislocation velocity, A is a constant of proportionality, Q an effective activation energy in J/mol, and R is the universal gas constant (8.314 J/mol.K). Determine Q and A using the given data and the above equation.
Transcribed Image Text:exp(-/-)
v = A exp
ᎡᎢ .
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