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Suppose you walk into a sauna that has an ambient temperature of 48.0°C. (a) Calculate the rate of heat transfer in watts to you by radiation given your skin temperature is 37.0°C, the emissivity of skin is 0.98, and the surface area of your body is 1.30 m2.

Respuesta :

Answer:99.84 W

Explanation:

Given

Ambient temperature [tex]T_{\infty }=48^{\circ}C\approx 321\ K[/tex]

Temperature of skin [tex]T=37^{\circ}C\approx 310\ K[/tex]

Skin emissivity [tex]\epsilon =0.98[/tex]

Surface area [tex]A=1.30\ m^2[/tex]

Rate of heat transfer is [tex]Q=\epsilon A\sigma (T_0^4-T^4)[/tex]

[tex]Q=0.98\times 1.30\times 5.67\times 10^{-8}((321)^4-(310)^4)[/tex]

[tex]Q=99.84\ W[/tex]