A contractor uses a paddle stirrer to mix a can of paint. The paddle turns at 28.0 rad/s and exerts a torque of 16.0 N·m on the paint, doing work on the paint at a rate  power = τω = 16.0 N·m × 28.0 rad/s = 448 W

An internal energy increase of 12.5 kJ causes the temperature of the paint to increase by 1.00 K. 

(a) If there were no heat flow between the paint and the surroundings, what would be the temperature change of the paint as it is stirred for 5.00 min? 

(b) If the actual temperature change was 6.3 K, how much heat flowed from the paint to the surroundings?