A hot reservoir with a temperature of 632 K is 0.25 m away from a cold reservoir with a temperature of 344 K. The two reservoirs are insulated from each other except for a rod of brass (k = 109 W/m-K) that has a cross-sectional area of 0.025 m2. The entire system is allowed to reach a steady-state condition.

1) How much energy is transferred by heat between the hot reservoir and the cold reservoir in ten minutes?

2) Assume that you need to transfer 4506520 J of energy in ten minutes between the two reservoirs. To enhance the rate of energy transfer, a steel rod (k = 43 W/m-K) of the same length is added between the two reservoirs. What should the cross-sectional area of the steel rod be in order to achieve the proper rate of energy transfer?