A hot metal ball is hung in an oven that is maintained at 700 K;and it cools.When the temperature of the ball is 950 K,it is losing heat at a rate of 0.15 J/min.At what rate will the ball lose heat when the ball reaches 820 K? Assume that the emissivity of the ball and its surface area do not change appreciably with temperature.

Question

Quizplus · Accepted Answer

The rate of heat loss for an object can be described by the Stefan-Boltzmann law, which states that the power radiated (or the rate of heat loss) is proportional to the fourth power of the absolute temperature of the object. Given that the rate of heat loss at 950 K is 0.15 J/min, we can use the ratio of the fourth powers of the temperatures to find the rate at 820 K: (820/950)^4 * 0.15 J/min = 0.08 J/min.

A Hot Metal Ball Is Hung in an Oven That