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QPages 98-102: Q23: HC Verma: Concepts of Physics - Volume 2 Heat Transfer Pages 98-102: Q23 Solution: Figure shows a copper rod joined to a steel rod. The rods have…

Figure shows a copper rod joined to a steel rod. The rods have equal length and equal cross sectional area. The free end of the copper rod is kept at 0�C and that of the steel rod is kept at 100�C. Find the temperature at the junction of the rods. Conductivity of copper = 390 W m−1 �C−1390 \text{ W m}^{-1} \text{ �C}^{-1} and that of steel = 46 W m−1 �C−146 \text{ W m}^{-1} \text{ �C}^{-1}.

Step-by-Step Verified Solution

**Answer:** Junction temperature = 10.6�C. **Step-by-Step Explanation:** Given: K_Cu = 390, K_steel = 46, equal lengths and areas. At junction, heat currents equal:
KCu(T−0)=Ksteel(100−T)K_{Cu}(T - 0) = K_{steel}(100 - T)
390T=46(100−T)390T = 46(100 - T)
390T=4600−46T⇒436T=4600⇒T=10.6�C390T = 4600 - 46T \Rightarrow 436T = 4600 \Rightarrow T = 10.6�\text{C}

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