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?


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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.

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