A heat-conducting rod, that is wrapped in insulation, is constructed with a 0.15-m length of alloy A and a 0.40-m length of alloy B, joined end-to-end. Both pieces have a cross-sectional area of 0.0020 m2. The thermal conductivity of alloy B is known to be 1.8 times as great as that of alloy A. The end of the rod in alloy A is maintained at a temperature of 10 degrees Celcius, and the other end of the rod is maintained at an unknown temperature. When the steady-state flow has been established, the temperature at the junction of the alloys is measured to be 40 degrees Celcius, and the rate of heat flow in the rod is measured at 56 W. What is the temperature of the end of the rod in alloy B.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter1: Basic Modes Of Heat Transfer
Section: Chapter Questions
Problem 1.35P: A section of a composite wall with the dimensions shown below has uniform temperatures of 200C and...
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A heat-conducting rod, that is wrapped in insulation, is constructed with a 0.15-m length of alloy A and a 0.40-m length of alloy B, joined end-to-end. Both pieces have a cross-sectional area of 0.0020 m2. The thermal conductivity of alloy B is known to be 1.8 times as great as that of alloy A. The end of the rod in alloy A is maintained at a temperature of 10 degrees Celcius, and the other end of the rod is maintained at an unknown temperature. When the steady-state flow has been established, the temperature at the junction of the alloys is measured to be 40 degrees Celcius, and the rate of heat flow in the rod is measured at 56 W. What is the temperature of the end of the rod in alloy B.

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