The temperature of the surface of the Sun is 5800 K. What would be the surface temperature of a star that emits twice the energy flux (watts per square meter) that the Sun emits?
A) 6900 K
B) 4880 K
C) 11,600 K
D) 8200 K

Question

Quizplus · Accepted Answer

The energy flux (E) emitted by a star's surface is given by the Stefan-Boltzmann law, E = σT^4, where σ is the Stefan-Boltzmann constant and T is the temperature in Kelvin. If a star emits twice the energy flux of the Sun, then 2E_sun = E_star = σT_star^4. Since E_sun = σT_sun^4, we can set up the equation (σT_sun^4)*2 = σT_star^4. Simplifying, we find T_star = T_sun*(2^(1/4)). Substituting T_sun = 5800 K, we get T_star ≈ 6900 K.

The Temperature of the Surface of the Sun Is 5800