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Standard XII
Physics
2nd Law of Thermodynamics
The coefficie...
Question
The coefficient of performance for a refrigerator can be :
A
greater than
1
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B
smaller than
1
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C
equal to
1
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D
None of these
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Solution
The correct option is
A
greater than
1
Refrigerator is a power absorbing device.
COP is nothing but the efficiency in different words.
C
O
P
=
O
u
t
p
u
I
n
p
u
t
=
(Desired effect/ Work Input)
for a refrigerator working between two temperature limits, T1(higher) and T2(lower)
Refrigerator will be throwing the heat taking from the T2( Storage Space) to T1(Room or any exhaust at higher temperature).
COP= (Heat taken from the Storage Space)/(Work Input) = Q2/W, , where W in work input.
as,
Q
1
=
Q
2
+
W
so,
C
O
P
=
Q
2
(
Q
1
−
Q
2
)
,
applying the reversible refrigerator theory, Q can be replaced by temperature (100% Second Law Efficiency).
C
O
P
=
T
2
(
T
1
−
T
2
)
,
as,
T
1
>
T
2
so,
C
O
P
>
1
.
Generally T1 and T2 difference is less than T2 so efficiency is always greater than 1.
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