Question: A hot bath at 7₁, 94.4 °C is connected to a cold bath at 7.-15.1°C by an insulated metal rod as shown in the diagram (Figure 1). The metal rod is made from two metals, aluminium is next to the hot bath and has a length 1,60.2 cm, steel makes up the remainder of the rod. The junction between the aluminium and steel has a temperature T - 41.2 °C. The rate of energy flow through the rods is P 146 W. Cross-sectional view 1₂ Th 4₁ Aluminium Thermal T₁ insulation Steel Part 1) What is the cross sectional area of the rod? A= cm² Te Diagram not to scale Figure 1: Schematic of the described hot and cold baths at temperatures 7 and Te, respectively, connected via an insulated metal rod consisting of aluminium of length I, next to the hot bath, and steel of length I next to the cold bath. The temperature of the junction between aluminium and steel is T Part 2) The steel rod has the same cross sectional area as the aluminium one. What is the length, l₂, of the steel rod? 1₂= cm Part 3) The steel rod is now replaced with a copper rod with identical length and cross sectional area. What is the temperature of the junction between the aluminium and copper? Tj °C

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Question:
A hot bath at T₁-94.4 °C is connected to a cold bath at T 15.1 °C by an insulated metal rod as shown in the diagram (Figure 1). The metal rod is made from two metals, aluminium is next to the hot bath and has a length ₁-60.2 cm,
steel makes up the remainder of the rod. The junction between the aluminium and steel has a temperature T;= 41.2 °C. The rate of energy flow through the rods is P = 146 W.
Cross-sectional view
Th
4₁
Aluminium
↑
Thermal
insulation
X
T₁
Part 1)
What is the cross sectional area of the rod?
A =
cm²
cm
12
Steel
Diagram not to scale
Figure 1: Schematic of the described hot and cold baths at temperatures T, and Te, respectively, connected via an insulated metal rod consisting of aluminium of length I, next to the hot bath, and steel of length l next to the cold bath. The
temperature of the junction between aluminium and steel is T₁.
Tc
Part 2)
The steel rod has the same cross sectional area as the aluminium one. What is the length, 1₂, of the steel rod?
l₂ =
Part 3)
The steel rod is now replaced with a copper rod with identical length and cross sectional area. What is the temperature of the junction between the aluminium and copper?
T₁ =
C
Transcribed Image Text:Please attach the process and ideas for solving the problem. Thank you! Question: A hot bath at T₁-94.4 °C is connected to a cold bath at T 15.1 °C by an insulated metal rod as shown in the diagram (Figure 1). The metal rod is made from two metals, aluminium is next to the hot bath and has a length ₁-60.2 cm, steel makes up the remainder of the rod. The junction between the aluminium and steel has a temperature T;= 41.2 °C. The rate of energy flow through the rods is P = 146 W. Cross-sectional view Th 4₁ Aluminium ↑ Thermal insulation X T₁ Part 1) What is the cross sectional area of the rod? A = cm² cm 12 Steel Diagram not to scale Figure 1: Schematic of the described hot and cold baths at temperatures T, and Te, respectively, connected via an insulated metal rod consisting of aluminium of length I, next to the hot bath, and steel of length l next to the cold bath. The temperature of the junction between aluminium and steel is T₁. Tc Part 2) The steel rod has the same cross sectional area as the aluminium one. What is the length, 1₂, of the steel rod? l₂ = Part 3) The steel rod is now replaced with a copper rod with identical length and cross sectional area. What is the temperature of the junction between the aluminium and copper? T₁ = C
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