A diatomic gas is heated at constant pressure. If 105 j of heat is given to the gas, find the change in internal energy of the gas.
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Answer:
Suppose the volume changes from V
1
to V
2
and the temperature changes from T
1
to T
2
.
The heat supplied at
ΔQ=ΔU+PΔV=ΔU+nRΔT=ΔU+
f
2ΔU
[ΔU=
2
nfRΔT
]
The change in internal energy is
ΔQ=ΔU[1+
f
2
]
105=ΔU[1+
5
2
]⇒ΔU=75J
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