mperature T to be 3 T •Op/T x*e* Cy = 9Vpk | dx, (ex – 1)2 - nere V is the volume of the solid, p is the number density of atoms, kg is Bol
mperature T to be 3 T •Op/T x*e* Cy = 9Vpk | dx, (ex – 1)2 - nere V is the volume of the solid, p is the number density of atoms, kg is Bol
Computer Networking: A Top-Down Approach (7th Edition)
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![Heat capacity of a solid: Debye's theory of solids gives the heat capacity of a solid at
temperature T to be
3
T
rOp/T
Cy = 9VpkB
(e* – 1)2 dx,
-
where V is the volume of the solid, p is the number density of atoms, kg is Boltzmann's
constant, and 0D is the so-called Debye temperature, a property of solids that depends on
their density and speed of sound.
Develop a computer code to evaluate Cy (T) for a given value of the temperature, for a
sample consisting of 1000 cubic centimeters of solid aluminum, which has a number
density of p = 6.022 x 1028m-3 and a Debye temperature of 0p = 428K. The
Boltzmann's constant kg =
1.380649 x 10-23 J · K-1.
Please evaluate the integral with the following methods:
(a) MATLAB adaptive Simpson quadrature, [Q.FCNT] = QUAD(FUN,A,B,TOL)
with TOL =le-10.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F97837b2e-9e13-4630-ac2d-db29f6796169%2F1544b076-1d65-47dd-b234-d96459fc4aaa%2Fzn3onzf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Heat capacity of a solid: Debye's theory of solids gives the heat capacity of a solid at
temperature T to be
3
T
rOp/T
Cy = 9VpkB
(e* – 1)2 dx,
-
where V is the volume of the solid, p is the number density of atoms, kg is Boltzmann's
constant, and 0D is the so-called Debye temperature, a property of solids that depends on
their density and speed of sound.
Develop a computer code to evaluate Cy (T) for a given value of the temperature, for a
sample consisting of 1000 cubic centimeters of solid aluminum, which has a number
density of p = 6.022 x 1028m-3 and a Debye temperature of 0p = 428K. The
Boltzmann's constant kg =
1.380649 x 10-23 J · K-1.
Please evaluate the integral with the following methods:
(a) MATLAB adaptive Simpson quadrature, [Q.FCNT] = QUAD(FUN,A,B,TOL)
with TOL =le-10.
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