Question

An aluminum rod and an iron rod are joined end to end in good thermal contact. The two rods have equal lengths and radii. The free end of the aluminum rod is maintained at a temperature of $100^{\circ} \mathrm{C}$, and the free end of the iron rod is maintained at $0^{\circ} \mathrm{C}$. (a) Determine the temperature of the interface between the two rods. (b) If each rod is $15 \mathrm{~cm}$ long and each has a cross-sectional area of $5.0 \mathrm{~cm}^{2}$, what quantity of energy is conducted across the combination in $30 \mathrm{~min}$ ?

          An aluminum rod and an iron rod are joined end to end in good thermal contact. The two rods have equal lengths and radii. The free end of the aluminum rod is maintained at a temperature of $100^{\circ} \mathrm{C}$, and the free end of the iron rod is maintained at $0^{\circ} \mathrm{C}$. (a) Determine the temperature of the interface between the two rods. (b) If each rod is $15 \mathrm{~cm}$ long and each has a cross-sectional area of $5.0 \mathrm{~cm}^{2}$, what quantity of energy is conducted across the combination in $30 \mathrm{~min}$ ?

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Added by Shawn G.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Penny Riley

03/30/2022

Step 1

Given: - Thermal conductivity of aluminum, $k_{\text{Al}} = 238 \, \text{W/mK}$ - Thermal conductivity of iron, $k_{\text{Fe}} = 79.5 \, \text{W/mK}$ - Temperature of aluminum end, $T_{\text{Al}} = 100^{\circ} \text{C}$ - Temperature of iron end, $T_{\text{Fe}} = Show more…

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An aluminum rod and an iron rod are joined end to end in good thermal contact. The two rods have equal lengths and radii. The free end of the aluminum rod is maintained at a temperature of $100^{\circ} \mathrm{C}$, and the free end of the iron rod is maintained at $0^{\circ} \mathrm{C}$. (a) Determine the temperature of the interface between the two rods. (b) If each rod is $15 \mathrm{~cm}$ long and each has a cross-sectional area of $5.0 \mathrm{~cm}^{2}$, what quantity of energy is conducted across the combination in $30 \mathrm{~min}$ ?

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