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Aluminum silicate. Al2SiO5, has three different

An Introduction to Thermal Physics | 1st Edition | ISBN: 9780201380279 | Authors: Daniel V. Schroeder ISBN: 9780201380279 40

Solution for problem 29P Chapter 5

An Introduction to Thermal Physics | 1st Edition

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An Introduction to Thermal Physics | 1st Edition | ISBN: 9780201380279 | Authors: Daniel V. Schroeder

An Introduction to Thermal Physics | 1st Edition

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Problem 29P

Aluminum silicate. Al2SiO5, has three different crystalline forms: kyanite, andalusite, and sillimanite. Because each is stable under a different, set of temperature-pressure conditions, and all are commonly found in metamorphic rocks, these minerals are important indicators of the geologic history of rock bodies.

(a) Referring to the thermodynamic data at the back of this book, argue that at 298 K the stable phase should be kyanite, regardless of pressure.

(b) Now consider what happens at fixed pressure as we vary the temperature. Let ΔG be the difference in Gibbs free energies between any two phases, and similarly for ΔS. Show that the T dependence of ΔG is given by

Although the entropy of any given phase will increase significantly as the temperature increases, above room temperature it is often a good approximation to take ΔS. the difference in entropies between two phases, to be independent of T. This is because the temperature dependence of S is a function of the heat capacity (as we saw in Chapter 3), and the heat capacity of a solid at high temperature depends, to a good approximation, only on the number of atoms it contains.

(c) Taking ΔS to be independent of T, find the range of temperatures over which kyanite, andalusite, and sillimanite should be stable (at 1 bar).

(d) Referring to the room-temperature heat capacities of the three forms of Al2SiO5, discuss the accuracy the approximation ΔS = constant.

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Chemistry Lecture 7 Chapter 15: Chemical Equilibrium Dynamics of Chemical Reactions and Microscopic Reversibility  Reactions can be reversible and dynamic  when rate of forward and reverse reaction are equal  reaction arrows in each direction can denote this Equilibrium  does not mean same amount of reactant and product...

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Chapter 5, Problem 29P is Solved
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Textbook: An Introduction to Thermal Physics
Edition: 1
Author: Daniel V. Schroeder
ISBN: 9780201380279

The full step-by-step solution to problem: 29P from chapter: 5 was answered by , our top Physics solution expert on 07/05/17, 04:29AM. Since the solution to 29P from 5 chapter was answered, more than 258 students have viewed the full step-by-step answer. This full solution covers the following key subjects: temperature, heat, stable, pressure, kyanite. This expansive textbook survival guide covers 10 chapters, and 454 solutions. The answer to “Aluminum silicate. Al2SiO5, has three different crystalline forms: kyanite, andalusite, and sillimanite. Because each is stable under a different, set of temperature-pressure conditions, and all are commonly found in metamorphic rocks, these minerals are important indicators of the geologic history of rock bodies.(a) Referring to the thermodynamic data at the back of this book, argue that at 298 K the stable phase should be kyanite, regardless of pressure.________________(b) Now consider what happens at fixed pressure as we vary the temperature. Let ?G be the difference in Gibbs free energies between any two phases, and similarly for ?S. Show that the T dependence of ?G is given by Although the entropy of any given phase will increase significantly as the temperature increases, above room temperature it is often a good approximation to take ?S. the difference in entropies between two phases, to be independent of T. This is because the temperature dependence of S is a function of the heat capacity (as we saw in Chapter 3), and the heat capacity of a solid at high temperature depends, to a good approximation, only on the number of atoms it contains.________________(c) Taking ?S to be independent of T, find the range of temperatures over which kyanite, andalusite, and sillimanite should be stable (at 1 bar).________________(d) Referring to the room-temperature heat capacities of the three forms of Al2SiO5, discuss the accuracy the approximation ?S = constant.” is broken down into a number of easy to follow steps, and 233 words. This textbook survival guide was created for the textbook: An Introduction to Thermal Physics , edition: 1. An Introduction to Thermal Physics was written by and is associated to the ISBN: 9780201380279.

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