Asked by uma
A round scar of area 'A' is formed on the chest of a man of temperature 37C. The rate of heat radiated from this scar is 1% more than that from the remaining part of the body. What will be the excess temperature at this scar over other parts of the body?
Answers
Answered by
drwls
37C = 310.2 K is the internal body temperature. (Actually, that is usually not the SURFACE temperature, which is affected by air temperature, wind speed and sweat evaporation)
I assume you are talking about the rate per unit area. Otherwise you would have to know the value of A, and the rest of the body.
To radiate 1% more per unit area than a 310.2K surface, T^4 will have to be 1% higher than 310^4. (That comes from the Stefan-Boltzmann law, which you are probably learning about).
(T/310.2)^4 = 1.01
T/310.2 = 1.00249
T = 311.0 degrees K
= 37.8 C
I assume you are talking about the rate per unit area. Otherwise you would have to know the value of A, and the rest of the body.
To radiate 1% more per unit area than a 310.2K surface, T^4 will have to be 1% higher than 310^4. (That comes from the Stefan-Boltzmann law, which you are probably learning about).
(T/310.2)^4 = 1.01
T/310.2 = 1.00249
T = 311.0 degrees K
= 37.8 C
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