A Carnot heat engine uses a hot reservoir consisting of a large amount of boiling water and a cold reservoir consisting of a large tub of ice and water. In 5 minutes of operation of the engine, the heat rejected by the engine melts a mass of ice equal to 4.9510² kg .

Throughout this problem use Lf=3.34105J/kg for the heat of fusion for water.

During this time, how much work W is performed by the engine?