A shell and tube heat exchanger is used to cool lubricating oil by water at the rate of \(120 \mathrm{~kg} / \mathrm{min}\). The oil enters the heat exchanger at \(343 \mathrm{~K}\) and leaves at \(298 \mathrm{~K}\). The specific heat of oil is \(3202 \mathrm{~kJ} / \mathrm{kmol}-\mathrm{K}\). The cooling water enters at \(288 \mathrm{~K}\) and leaves at \(300 \mathrm{~K}\).

The specific heat of water is \(4.18 \mathrm{~kJ} / \mathrm{kmol}-\mathrm{K}\). Assuming the heat losses are negligible, estimate the flow rate of water required.