Older freezers developed a coating of ice inside that had to be melted periodically; an electric heater could speed this defrosting process. Suppose you're melting ice from your freezer using a heating wire that carries a current of \(5.0 \mathrm{~A}\) when connected to \(120 \mathrm{~V}\).

a. What is the resistance of the wire?

b. How long will it take the heater to melt \(720 \mathrm{~g}\) of accumulated ice at \(-10^{\circ} \mathrm{C}\) ? Assume that all of the heat goes into warming and melting the ice, and that the melt water runs out and doesn't warm further.