Question

The star Mintaka in the Orion constellation is about 30x larger than our sun with a radius of 5.74 x 10^9 m. It's surface temperature is about 29,500 K. Consider the spherical surface to behave as a blackbody radiator. What is the rate at which energy is radiated from this star, to 3 sig fig?

Answer 1

$P=e\sigma A(T^4_{}-T^4_c)$

Due to the body is a blackbody e=1

$\begin{gathered} P=5.6703\cdot10^{-8}\cdot(\pi\cdot(5.74\cdot10^9)^2)\cdot(29500^4-2.7^4) \\ P=4.445\cdot10^{30}W \end{gathered}$

This is the rate of energy over time that this star radiates