Question #248286

Determine the net heat transfer through the black body disc with radius1cm and mass 6g, at 00C when transferred to a surrounding temperature of 100C.


1
Expert's answer
2021-10-08T08:10:42-0400

r=1  cm=0.01  mTenv=10  C=283  KT=0  C=273  KQ=σεA(Tenv4T4)r = 1 \;cm = 0.01 \;m \\ T_{env}=10\; C = 283 \;K \\ T = 0\; C = 273 \;K \\ Q = σεA(T_{env}^4 – T^4)

σ=5.6704×108  Wm2K4σ = 5.6704 \times 10^{-8} \; \frac{W}{m^2K^4} Stefan Boltzmann constant

ε = 1 (for black body)

A=πr2Q=5.6704×108×1×3.14×(0.01)2(28342734)Q=0.015  WA = πr^2 \\ Q = 5.6704 \times 10^{-8} \times 1 \times 3.14 \times (0.01)^2(283^4 – 273^4) \\ Q = 0.015\; W


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