It has been found that the Sun’s mass loss is 4.34 × 109 kg per second. How much energy per second would be radiated into space by the Sun?
Given :
Sun’s mass loss = 4.34 × 109 kg per second
To find :
Energy radiated per second into space by Sun
Calculation :
Δm = 4.34 × 109 kg per second
Now,
1.66 × 10-27 kg = 1u
∴ Δm = \(\frac{4.34\times 10^9}{1.66\times 10^{-27}}\) u per second
= 2.614 × 1036u per second
Now,
1u = 931.4 MeV
2.614 × 1036 u per second = 2.614 × 1036 × 931.4
= 2.435 × 1039 MeV/s
Now,
1 MeV = 1.6022 × 10-19J and
1 eV = 1 × 10-6 MeV
1 MeV = 1.6022 × 10-13J
= 1.6022 × 10-16LJ
E = 2.435 × 10 MeV/s × 1.6022 × 10-16 kJ/MeV
= 3.901 × 1023 kJ/s
∴ Energy radiated per second into space by Sun is 3.901 × 1023 kJ/s.