Problem: A hot reservoir at 50oC is connected to a cold reservoir at -60oC by a cylindrical, thermal conductor. The thermal conductor has a constant radius of 5 cm, but is made up of two different metals. The first portion of the conductor, made of aluminum, is 8 cm long and has a thermal conductivity of 205 W/mK and is in contact with the hot reservoir. The second portion of the conductor, made of brass, is 10 cm long and has a thermal conductivity of 109 W/mK, and is in contact with the cold reservoir. (a) What is the temperature at the junction between the aluminum and brass? (b) What is the rate at which heat is passing through the conductor?

FREE Expert Solution
Problem Details

A hot reservoir at 50oC is connected to a cold reservoir at -60oC by a cylindrical, thermal conductor. The thermal conductor has a constant radius of 5 cm, but is made up of two different metals. The first portion of the conductor, made of aluminum, is 8 cm long and has a thermal conductivity of 205 W/mK and is in contact with the hot reservoir. The second portion of the conductor, made of brass, is 10 cm long and has a thermal conductivity of 109 W/mK, and is in contact with the cold reservoir.

(a) What is the temperature at the junction between the aluminum and brass?

(b) What is the rate at which heat is passing through the conductor?

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Heat Transfer concept. You can view video lessons to learn Heat Transfer. Or if you need more Heat Transfer practice, you can also practice Heat Transfer practice problems.

How long does this problem take to solve?

Our expert Physics tutor, Jeffery took 9 minutes and 22 seconds to solve this problem. You can follow their steps in the video explanation above.