How much energy is radiated each second by one square meter of a star whose temperature is 10,000 K? Note: $\sigma$ in the Stefan-Boltzmann law is equal to .

Question

How much energy is radiated each second by one square meter of a star whose temperature is 10,000 K? Note: $\sigma$ in the Stefan-Boltzmann law is equal to  .

Quizplus · Accepted Answer

We can use the Stefan-Boltzmann law, which states that the total energy radiated per unit time per unit area by a black body at temperature T is given by $j=\sigma T^4$, where $\sigma$ is the Stefan-Boltzmann constant. Thus, for a star at temperature 10,000 K, we have $j=(5.67	imes 10^{-8}\ \mathrm{W\ m^{-2}\ K^{-4}})(10^4\ \mathrm{K})^4 = 5.67	imes 10^{10}\ \mathrm{W\ m^{-2}}$. Therefore, the answer is B) $5.67	imes 10^{10}\ \mathrm{J/s}$, which is equivalent to $5.67	imes 10^{10}\ \mathrm{W}$, since power is energy per unit time.

How Much Energy Is Radiated Each Second by One Square σ\sigmaσ

How Much Energy Is Radiated Each Second by One Square $\sigma$