A Heat-Conducting Rod That Is Wrapped in Insulation Is Constructed $\mathrm { m } ^ { 2 }$

question 15

Multiple Choice

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 cross-sectional areas of 0.0020 $\mathrm { m } ^ { 2 }$ The thermal conductivity of alloy B is known to be 1.8 times as great as that for alloy A. The end of the rod in alloy A is maintained at a temperature of $10 ^ { \circ } \mathrm { C }$ and the other end of the rod is maintained at an unknown temperature. When steady state flow has been established, the temperature at the junction of the alloys is measured to be $40 ^ { \circ } \mathrm { C } ,$ 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?

• A) \(80 ^ { \circ } \mathrm { C }\)
• B) \(84 ^ { \circ } \mathrm { C }\)
• C) \(96 ^ { \circ } \mathrm { C }\)
• D) \(92 ^ { \circ } \mathrm { C }\)
• E) \(88 ^ { \circ } \mathrm { C }\)

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Definitions:

Current Condition

The present state or situation, especially concerning health or the quality of something.

Social Loafing

The tendency of individuals to put in less effort when working in a group compared to when working alone.

Coordination Loss

The inefficiency in group performance compared to individual performance, due to the difficulty of aligning the efforts and actions of all members.

Task Taxonomy

Group tasks can be classified according to whether a division of labour is possible; whether there is a predetermined standard to be met; and how an individual’s inputs can contribute.