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What is the temperature of the steel-cop...

What is the temperature of the steel-copper junction in the steady state of the system shown in Fig. 11.15. Length of the steel rod = 15.0 cm, length of the copper rod = 10.0 cm, temperature of the furnace `= 300^(@)C`, temperature of the other end = `0^(@)C`. The area of cross section of the steel rod is twice that of the copper rod. (Thermal conductivity of steel `= 50.2 J s^(–1) m^(–1)K^(–1)`, and of copper `= 385 J s^(–1)m^(–1)K^(–1))`.

Text Solution

Verified by Experts

Let T be the temperature of the steel-copper junction in the steady state.
`(K_(1)A_(1)(300-T))/L_(1)=(K_(2)A_(2)(T-0))/L_(2)`
`(50.2xx2(300-T))/15=(385T)/10` which gives `T=44.4^(@)C`
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