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Area of surface of a person is "1.9 m"^(...

Area of surface of a person is `"1.9 m"^(2)` and its body temp. is `37^(@)C` and room temp. is `22^(@)C`. Temperature of skin is `28^(@)C`, then find the rate of emission of heat. Emissivity of skin is `0.97`.

Text Solution

Verified by Experts

Rate of energy emission of body,
`H=Aesigma(T^(4)-T_(S)^(" 4"))" "T=273+28=301K`
`" "T_(S)=273+22=295K`
`1.9xx0.97xx5.67xx10^(-8)[(301)^(4)-(295)^(4)]`
`=10.44981xx[8208541201-7573350625]xx10^(-8)`
`=10.44981xx635190576xx10^(-8)`
`=66.37620832`
`~~66.4W`
This rate is greater than half of rate of energy produced on body (120 W) under thermal steady state.
To decrease this loss, in modern arctic clothes, there is a small smooth excessive metal layer which reflects the emitter energy from body hence loss decreases.
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