Help with a heat transfer question

AI Thread Summary
The discussion revolves around calculating heat transfer using the Stefan-Boltzmann law and exploring methods to find the difference in power emitted by a person and the ambient environment. Initial calculations yielded 883 W for the person and 702 W for the ambient, but attempts to convert this difference into joules per hour were unsuccessful. The user considered using Wien's law and the equation E=hf to find the maximum wavelength but remained uncertain about the correct approach. There was confusion regarding whether to add or subtract the heat loss values for the body and environment. Ultimately, the correct answer was identified as 6.5E5 J, but the method to achieve this result was unclear.
Zeynaz
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Homework Statement
The human body emits heat radiation. At the same time, body receives heat radiation from the environment. If the ambient temperature is lower than the body temperature there will be a net loss of heat.

Someone has a skin area of 1.8 m2 and a skin temperature of 32 Celsius degrees. The ambient temperature is 15 C.

- Calculate the net heat loss in joule for one hour.
Relevant Equations
Stefan-Boltzmann's Law --- P= (S-B constant)*A*T^4
wavelength-max= (wiens constant)/T
This question is in a unit about emission and absorption, Atomic Physics

So far, I calculated the Power that the person gives off which is by using the S-B law formula.
P= (s-b constant)*1.8*305K^4= 883 W (or Joules per second)

for the ambient i used the same formula and found P= 702 W

I tried to take the difference in these and divide it it by 60 to find joules per hour but the answer is wrong.
I am not sure which way i should go. I thought about Wiens law to find the max wavelength of each places and apply this to E=hf= hc/wavelength. Then just take the difference between them. would that be a correct way?
 
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Zeynaz said:
divide it it by 60
Would you lose more heat in a second or more in an hour?
 
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haruspex said:
Would you lose more heat in a second or more in an hour?
Ohh i see. I had to multiply it by 60
 
Zeynaz said:
Ohh i see. I had to multiply it by 60
Right.
 
I tried it like that but it didnt work out. i found the loss of heat per hour for both the body and the environment. and i added these together (because loss of heat of human plus the environment). Because my answer was wrong i tried to subtract these values but still not correct.
The correct answer is 6.5E5 J but i don't know that to get there.
 
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