Hot water at \(80^{\circ} \mathrm{C}\) flows through a thin-walled copper tube of \(30-\mathrm{mm}\) diameter. The tube is enclosed by an eccentric cylindrical shell that is maintained at \(35^{\circ} \mathrm{C}\) and has a diameter of \(120 \mathrm{~mm}\). The eccentricity, defined as the separation between the centers of the tube and shell, is \(15 \mathrm{~mm}\). The space between the tube and shell is filled with an insulating material having a thermal conductivity of \(0.05 \mathrm{~W} / \mathrm{m} \cdot \mathrm{K}\). Calculate the rate of heat loss per unit length of the tube, and compare the result with the heat loss rate for a concentric arrangement.