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Question

When water is heated from 0 C to 4 C , then

A
Cp=Cv
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B
Cp>Cv
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C
Cp<Cv
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D
CpCv=R
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Solution

The correct option is C Cp<Cv
Water has highest density at 4oC This changes its properties from other simple fluids.
When water is heated from 0oC to 4oC, the volume of liquid decreases.
Thus for this transition, PΔV is negative.
So we can write:

CpdT=CvdT+PΔV

Cp<Cv

Hence option C is correct

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