Question

The Mass of the Sun is 1.989 × 10^30 kg. The speed of light is 3 x 10^8 m/s. Assuming the Sun is 75% hydrogen, how much Energy could be produced if all of the hydrogen is converted into energy? Use Einstein's famous equation E = mc^2 where E will be in Joules.

Answer 1

`E = 13.428 * 10^(46) J`

Step-by-step explanation:

Mass of the Sun =
`1.989 * 10^(30) Kg`

Amount of Hydrogen = 75% of Mass of Sun,

thus mass of Hydrogen (m) in the Sun is,

`m = 1.989 * 10^(30) * (75)/(100)`

m =
`1.492 * 10^(30)`

Speed of Light (c) =
`3 * 10^(8) m/s`

Thus, energy(E) produced if whole of hydrogen is converted into energy,

E = mc²

`E = 1.492 * 10^(30) * (3 * 10^(8) )^(2)`

`E = 1.492 * 9 * 10^(46)`

`E = 13.428 * 10^(46) J`