Assume that the total surface area of a human body is 1.6 m2 and that it radia

Discussion Forum : Heat Transfer

Question -

Assume that the total surface area of a human body is 1.6 $m^{2}$ and that it radiates like an ideal radiator. Calculate the amount of energy radiated per second by the body if the body temperature is 37 $^{\circ}$ C.Stefan constant $σ$ is $6.0 \times 10^{- 8} W / m^{2} - K^{4}$ .

Options:

A . 608 J

B . 887 J

C . 1026 J

D . 902 J

Answer: Option B
:
B

Stefan's law: $\frac{Δ Q}{Δ t} = e σ A T^{4}$

For an ideal radiator e = 1 $\Rightarrow \frac{Δ Q}{Δ t} = 6 \times 10^{- 8} \times 1.6 \times (273 + 37)^{4}$

= $6 \times 10^{- 8} \times 1.6 \times 314 \times 104$

= 887 J per second.

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