Question
When water is heated from $0$ to $4\,^oC$

Answer

Water has highest density at $4^{\circ} C$. This changes its properties from other simple fluids.

When water is heated from $0^{\circ} C$ to $4^{\circ} C$, the volume of liquid decreases.

Thus for this transition, $P \Delta V$ is negative.

$\int C_p d T=\int C_V d T+P \Delta V$

$\Rightarrow C_P < C_V$

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