A sample of ideal gas has a volume of 128 ml at -27 °C to what
temperature must the gas be heated at constant pressure if final
volume is to be 214 ml?
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Explanation:
Let n be the no of moles of the gas.
Let the temp changes from T
1
to T
2
and volume from V
1
to V
2
respectively.
Heat supplied: Q=nC
p
(T
2
−T
1
)=140
Change in internal energy: ΔU=nC
v
(T
2
−T
1
)=n
γ
C
p
(T
2
−T
1
)=
1.4
140
=100J
Work done by the gas: ΔQ−ΔW=140−100=40J
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