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Question

Which one of the following equations does not correctly represent the first law of thermodynamics for the given processes involving an ideal gas? (Assume non -expansion work is zero)

A
Adiabatic process: ΔU=w
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B
Isochoric process: ΔU=q
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C
Cyclic process: q=w
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D
Isothermal process: q=w
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Solution

The correct option is A Adiabatic process: ΔU=w
The first law of thermodynamics states that,
ΔU=q+w
a) In an adibatic process q=0, so ΔU=w.
b) In an isochoric process ΔV=0W=PΔV=0.
So, ΔU=q
c) For a cyclic process ΔU=0.
So, q=w
d) For an isothermal process, ΔT=0ΔU=0
Hence, q=w

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