We need to determine the temperature at which the radiant luminosity of an absolutely black body is Rt = 459 W / m ^ 2.
We start the solution with a short note given.
Rt = 459 W / m2
T – ? (temperature).
To solve, we apply the Stefan-Boltzmann law, which we write in the form of a formula as follows:
R * t = σ * T ^ 4.
σ = (2n ^ 5 * k ^ 4) / (15c ^ 2 h ^ 3).
σ ≈ 5.67 * 10 ^ (- 8) W / (m ^ 2 * k ^ 4), where
k is Boltzmann’s constant.
T = ⁴√ (Rt / σ).
T = ⁴√ (459 / (5.67 * 10 ^ (- 8))) ≈ 300 K.
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