In an old house, the heating system uses radiators, which arehollow metal device

Question

In an old house, the heating system uses radiators, which arehollow metal devices through which hot water or steam circulates.In one room the radiator has a dark color (emissivity 5 0.75). Ithas a temperature of 62 8C. The new owner of the house paints the radiator a lightercolor (emissivity 5 0.50). Assuming that it emits the same radiantpower as it did before being painted, what is the temperature (indegrees Celsius) of the newly painted radiator? In an old house, the heating system uses radiators, which arehollow metal devices through which hot water or steam circulates.In one room the radiator has a dark color (emissivity 5 0.75). Ithas a temperature of 62 8C. The new owner of the house paints the radiator a lightercolor (emissivity 5 0.50). Assuming that it emits the same radiantpower as it did before being painted, what is the temperature (indegrees Celsius) of the newly painted radiator?

Explanation / Answer

Given : Temperature of the dark colour ( T1 ) = 62K + 273K =335K   Temperature of the light colour ( T2) Emissivity of the dark colour ( e1 ) = 0.75 Emissivity of light colour ( e2 ) = 0.50 As we know that     Q = e A T4    Q / t = e A T4 Q /t e T4 e1 T14 = e2T24    T24 = ( e1 /e2 ) T14          T2= ------ Plugin the values Solve it Q /t e T4 e1 T14 = e2T24    T24 = ( e1 /e2 ) T14          T2= ------ Plugin the values Solve it

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