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Chemistry: The Central Science | 14th Edition | ISBN: 9780134414232 | Authors: Theodore E. Brown; H. Eugene LeMay; Bruce E. Bursten; Catherine Murphy; Patrick Woodward; Matthew E. Stoltzfus ISBN: 9780134414232 1274

Solution for problem 12.79 Chapter 12

Chemistry: The Central Science | 14th Edition

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Chemistry: The Central Science | 14th Edition | ISBN: 9780134414232 | Authors: Theodore E. Brown; H. Eugene LeMay; Bruce E. Bursten; Catherine Murphy; Patrick Woodward; Matthew E. Stoltzfus

Chemistry: The Central Science | 14th Edition

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Problem 12.79

GaAs and GaP make solid solutions that have the same crystal structure as the parent materials, with As and P randomly distributed throughout the crystal. \(\mathrm{GaP}_{x} \mathrm{As}_{1-x}\) exists for any value of x. If we assume that the band gap varies linearly with composition between x = 0 and x = 1, estimate the band gap for \(\mathrm{GaP}_{0.5} \mathrm{As}_{0.5}\). (GaAs and GaP band gaps are 1.43 eV and 2.26 eV, respectively.) What wavelength of light does this correspond to?

Text Transcription:

GaP_x As_1-x

GaP_0.5 As_0.5

Step-by-Step Solution:
Step 1 of 3

SecondLawofThermodynamic(part2) ∮ = 0 in general So, the path from point 1 to point 2 is independent which turns out thais the differential of the state function S. Therefore, dS can be computed for any reversible process of any path chosen. ≡ So, 2 ∆ = 2− 1 ∫ 1 ∆ is the same for any process, whether it is reversible or not, that connects point 1 and 2. When notating with molar, the notation and uni is ∆ = is comparison to ∆ = . Equation of different processes: 1. Cyclic process: S is a state function, therefore ∆ = 0 for any cyclic process. 2. Reversible adiabatic process: For th 0 because it is adiabatic, so ∆ = 0 3. Reversible Phase changes at constant pressure and temperature: Constant T: ∫ 2 = 1 Sin

Step 2 of 3

Chapter 12, Problem 12.79 is Solved
Step 3 of 3

Textbook: Chemistry: The Central Science
Edition: 14
Author: Theodore E. Brown; H. Eugene LeMay; Bruce E. Bursten; Catherine Murphy; Patrick Woodward; Matthew E. Stoltzfus
ISBN: 9780134414232

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