Derive the expression for the mean temperature in a star:

To derive the expression for the mean temperature of a star, we start with the Stefan-Boltzmann law, which relates the total energy radiated by a blackbody to its temperature:

\[
E = \sigma T^4
\]

where:
- \(E\) is the energy radiated per unit area,
- \(\sigma\) is the Stefan-Boltzmann constant,
- \(T\) is the temperature ___ ______ ________ __________ ________ ____.
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