Hot or not?

The Sun puts out a steady stream of roughly \(4\times10^{26}\) W of radiation and weighs about \(2\times10^{30}\) kg, while the average human eats 2,000,000 calories (1 Calorie = 1,000 calories) or \(\approx\) 8,000,000 Joules a day, most of which is radiated as heat.

Calculate \(P/m\), the rate of heat radiation per unit mass, for the Sun and for the human body. Approximately how many times greater is \(P/m\) for the Sun than for the human body?

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