Problem

A star initially has

10^{40}

deuterons. It produces energy *via* the processes

{}_1^2\text{H} + {}_1^2\text{H} \to {}_1^3\text{H} + p

and

{}_1^2\text{H} + {}_1^3\text{H} \to {}_2^4\text{He} + n

. Where the masses of the nuclei are

m({}_1^2\text{H}) = 2.014

amu,

m(p) = 1.007

amu,

m(n) = 1.008

amu and

m({}_2^4\text{He}) = 4.001

amu. If the average power radiated by the star is

10^{16}

W, the deuteron supply of the star is exhausted in a time of the order of a.

10^6

s b.

10^8

s c.

10^{12}

s d.

10^{16}