The radius of the Sun is 6.95 × 10⁸ m. It radiates heat at the rate of 5.32 x 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 x 10^-8 W/(m²·K⁴).

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Quizplus · Accepted Answer

The temperature can be calculated using the Stefan-Boltzmann law: P = σA(T^4). Solving for T gives T = (P/(σA))^(1/4). Substituting the given values, T = (5.32 x 10^26 W / (5.67 x 10^-8 W/(m^2·K^4) * 4π(6.95 x 10^8 m)^2))^(1/4), which results in approximately 6.27 × 10^3 K.

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