Q2) Both a stainless steel bar and a copper bar, each 30 cm in length, are place with one end in a hot reservoir at 100 °C and the other end in a cold reservoir at 0 °C. Each bar has a square cross section that is 2 cm on a side. The value for thermal conductivity of stainless steel is 14 W.m1.K1 and for copper is 390 W.mK1.

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Chapter1: Temperature And Heat
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C and D in the picture please

Q2) Both a stainless steel bar and a copper bar, each 30 cm in length, are place with one end in a hot
reservoir at 100 °C and the other end in a cold reservoir at 0 °C. Each bar has a square cross section
that is 2 cm on a side. The value for thermal conductivity of stainless steel is 14 W.m1.K1 and for
copper is 390 W.m1K-1.
(a) Calculate the rate of heat flow in each of the two bars at steady state conditions.
(b) The end of the steel bar is now welded to the end of the copper bar and the steel end of this
welded bar is placed in contact with the 100 °C reservoir while the copper end is placed in contact
with the 0 °C reservoir. Calculate the temperature at the junction between the two bars at steady
state conditions. Assume a perfect atomic junction between the two bars.
(c) Use the answer in (b) to sketch the temperature profile along the length of this composite bar
and then calculate the thermal gradient in each of the two parts of the bar.
(d) Calculate the rate of heat flow in each of the two parts of the composite bar.
Transcribed Image Text:Q2) Both a stainless steel bar and a copper bar, each 30 cm in length, are place with one end in a hot reservoir at 100 °C and the other end in a cold reservoir at 0 °C. Each bar has a square cross section that is 2 cm on a side. The value for thermal conductivity of stainless steel is 14 W.m1.K1 and for copper is 390 W.m1K-1. (a) Calculate the rate of heat flow in each of the two bars at steady state conditions. (b) The end of the steel bar is now welded to the end of the copper bar and the steel end of this welded bar is placed in contact with the 100 °C reservoir while the copper end is placed in contact with the 0 °C reservoir. Calculate the temperature at the junction between the two bars at steady state conditions. Assume a perfect atomic junction between the two bars. (c) Use the answer in (b) to sketch the temperature profile along the length of this composite bar and then calculate the thermal gradient in each of the two parts of the bar. (d) Calculate the rate of heat flow in each of the two parts of the composite bar.
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