The makers of rapid beverage coolers, like the Cooper Cooler \({ }^{\mathrm{TM}}\), claim that their device can cool a bottle of wine from \(25^{\circ} \mathrm{C}\) to \(4^{\circ} \mathrm{C}\) in six minutes and a soda or beer can in one minute. The cooler uses an ice-water mixture at \(0^{\circ} \mathrm{C}\). Assuming that the lumped capacitance formulation is valid, evaluate the manufacturer's claim by providing an estimate for what the heat-transfer coefficient would have to be.