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Byju's Answer
Standard XII
Physics
Specific Heat Capacity
When an ideal...
Question
When an ideal diatomic gas is heated at a constant pressure, what fraction of heat energy supplied is used in doing work?
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Solution
For a diatomic gas,
C
v
=
5
2
R
and
C
p
=
7
2
R
From the first law of thermodynamics,
Δ
Q
=
Δ
U
+
Δ
W
⇒
n
C
p
Δ
T
=
n
C
v
Δ
T
+
Δ
W
⇒
n
7
2
R
Δ
T
=
n
5
2
R
Δ
T
+
Δ
W
⇒
Δ
W
=
n
R
Δ
T
So,
Δ
W
Δ
Q
=
n
R
Δ
T
n
7
2
R
Δ
T
=
2
7
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