3. (3.a) The table given below is shown C/R ratios of some solids at 273 K. Here, R is the ideal gas constant and C is the heat capacity of solid. What is the reason that C/R value is very far away from 3 for diamond? Explain and discuss this question in the light of relevant theory/theories on heat capacity. Material C/R 2.94 Соpper (Cu) Gold (Au) Silver (Ag) Diamond (C) 3.05 2.99 0.74 (3.b) According to Debye Theory of heat capacity of solids heat capacity, C, depends on T° (temperature in Kelvin) and this law is given as below. 12 n*R 3 Here O, is called as Debye temperature. The following Table as given below contains some experimental data of heat capacity as a function of temperature for potassium iodide (KI) material. 3.b.1. Why is Debye temperature important for materials? And when is Debye T³ law important for solids? 3.b.2. Make an estimation by calculation of Debye Temperature of KI material according to given values in Table shown below? T(K) C (JK.mol) 0.1 2.94 1.0 3.05 5 2.99 0.74 10 1.1 15 2.8 20 6.3

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3. (3.a) The table given below is shown C/R ratios of some solids at 273 K. Here, R is the
ideal gas constant and C is the heat capacity of solid. What is the reason that C/R value
is very far away from 3 for diamond? Explain and discuss this question in the light of
relevant theory/theories on heat capacity.
Material
C/R
Copper (Cu)
Gold (Au)
Silver (Ag)
Diamond (C)
2.94
3.05
2.99
0.74
(3.b) According to Debye Theory of heat capacity of solids heat capacity, C, depends
on T' (temperature in Kelvin) and this law is given as below.
3
12 n*R
C =
Here Op is called as Debye temperature. The following Table as given below contains
some experimental data of heat capacity as a function of temperature for potassium
iodide (KI) material.
3.b.1. Why is Debye temperature important for materials? And when is Debye T³ law
important for solids?
3.b.2. Make an estimation by calculation of Debye Temperature of KI material
according to given values in Table shown below?
T(K)
C (JK.mol)
0.1
2.94
1.0
3.05
5
2.99
0.74
10
1.1
15
2.8
20
6.3
Transcribed Image Text:3. (3.a) The table given below is shown C/R ratios of some solids at 273 K. Here, R is the ideal gas constant and C is the heat capacity of solid. What is the reason that C/R value is very far away from 3 for diamond? Explain and discuss this question in the light of relevant theory/theories on heat capacity. Material C/R Copper (Cu) Gold (Au) Silver (Ag) Diamond (C) 2.94 3.05 2.99 0.74 (3.b) According to Debye Theory of heat capacity of solids heat capacity, C, depends on T' (temperature in Kelvin) and this law is given as below. 3 12 n*R C = Here Op is called as Debye temperature. The following Table as given below contains some experimental data of heat capacity as a function of temperature for potassium iodide (KI) material. 3.b.1. Why is Debye temperature important for materials? And when is Debye T³ law important for solids? 3.b.2. Make an estimation by calculation of Debye Temperature of KI material according to given values in Table shown below? T(K) C (JK.mol) 0.1 2.94 1.0 3.05 5 2.99 0.74 10 1.1 15 2.8 20 6.3
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