The Sun produces energy by nuclearfusion reactions in which matter is converted

Question

     The Sun produces energy by nuclearfusion reactions in which matter is converted into energy. Wecan measure that the Sun produces energy at the rate of3.80×1026 W.

a.      How manytons of matter does the Sun lose eachsecond?

b.     If it kept losing energy at this rate,how long would it take the Sun to lose all its mass?

     The Sun produces energy by nuclearfusion reactions in which matter is converted into energy. Wecan measure that the Sun produces energy at the rate of3.80×1026 W.

a.      How manytons of matter does the Sun lose eachsecond?

b.     If it kept losing energy at this rate,how long would it take the Sun to lose all its mass?

Explanation / Answer

Rate of sun energy E = 3.8 * 10 ^ 26 W

We know E = mc ^ 2

Rate of mass m = E / c^ 2

                        = 4.222* 10 ^ 9 kg

Since c= 3 * 10 ^ 8 m / s

Mass of sun M = 1.98892 × 1030kilograms

Required time   t = M / m

                          = 4.71* 10 ^ 20 s

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