Liquid water at \(40^{\circ} \mathrm{F}\) flows down a vertical, thermally insulated, 2 -in. steel pipe. The temperature change of the water is related to its internal energy change by

\[ \tilde{u}_{2}-\tilde{u}_{1}=32.2 \mathrm{Btu} / \mathrm{slug} \cdot{ }^{\circ} \mathrm{F}\left(T_{2}-T_{1}\right) \]

What is the temperature change of the water per \(100 \mathrm{ft}\) of drop if the pressure drop \(\left(p_{1}-p_{2}\right)\) per \(100 \mathrm{ft}\) is \(12.0 \mathrm{psi}\) ?