A counter flow, shell and tube type heat exchanger is to be used to cool water from TH, in = 22 \(^\circ\text{C}\) to TH, out = 6 \(^\circ\text{C}\), using brine entering at TC, in = -2 \(^\circ\text{C}\) and leaving at TC, out = 3 \(^\circ\text{C}\). The logarithmic mean temperature difference (\(\Delta T_m\)) for such system will be