If the frequency of vibration of all atoms in a solid is same
hnue/kB = 100K ,
Calculate the
molar specific heat at 25K
and
and 500K
Answers
500k is the answer
hope it is helpful for you
Answer:
here is your answer
Explanation:
The Debye temperature for silver is 225 K. Calculate the highest possible frequency
for lattice vibrations in silver and its molar heat capacity at 10 K and 500 K.
Solution:
The maximum frequency of vibration of the atoms of solid bodies is given by Eq.(1)
23
12
34
1.38 10 / 225 4.7 10
6.62 10
B D
D
k T J K K f Hz
h J s
(1)
where
23 1.38 10 / B
k J K
is the Boltzmann constant;
34 h J s 6.62 10
is the Planck
constant;
TD
is the Debye temperature.
The molar heat capacity is given by Eq.(2)
3
4
/
2
0
9
1
T T D
V B
D
T e C T Nk d
T e
(2)
where
N
is the number of atoms in a solid body.
Than
3 4
225/10 23 23
2
0
3 4
225/500 23 23
2
0
10 10 9 6.02 10 1.38 10 / 0.17 /
225 1
500 500 9 6.02 10 1.38 10 / 26.67 /
225 1
V
V
e
C T J K d J K
e
e
C T J K d J K
e
Answer:
12 4.7 10 B D
D
k T f Hz
h
;
C T J K V 10 0.17 /
;
C T J K V