The radius of the Sun is 6.95 × 10⁸ m. It radiates heat at the rate of 5.42 × 10²⁶ W. Assuming that it is a perfect emitter, what is the temperature of the surface of the Sun? The Stefan-Boltzmann constant is 5.67 × 10^-8 W/(m²∙K⁴).

Question

Quizplus · Accepted Answer

Using the Stefan-Boltzmann law, $ P = \sigma A T^4 $, where $ A = 4\pi R^2 $. Solving for $ T $, we find $ T = \left(\frac{P}{\sigma A}\right)^{1/4} $. Substituting the given values, the temperature is approximately 6.30 × 10³ K.

The Radius of the Sun Is 6