Two rods, one made of brass and the other made of copper, are joined end to end.

Question

Two rods, one made of brass and the other made of copper, are joined end to end. The length of the brass section is 0.160 m and the length of the copper section is 0.710 m. Each segment has cross-sectional area 0.00350 m². The free end of the brass segment is in boiling water and the free end of the copper segment is in an ice and water mixture, in both cases under normal atmospheric pressure. The sides of the rods are insulated so there is no heat loss to the surroundings. What is the temperature of the point where the brass and copper segments are joined? [Hint: Thermal conductivities off brass and copper are 109.0 W/(mK) and 385.0 W/(mK), respectively.]

Explanation / Answer

The main concept behind this problem is that as there is no heat loss the heat current will be same in both the rods.

H1 = H2

109 * 0.16 * (100 -T) = 385 *.71 * T

T = 6 Degree celcius

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