1.
A star initially has 104410^{44} deuterons. It produces energy via the processes 12H+12H13H+11H\,^2_1\mathrm{H} + \,^2_1\mathrm{H} \to \,^3_1\mathrm{H} + \,^1_1\mathrm{H} and 12H+13H24He+01n\,^2_1\mathrm{H} + \,^3_1\mathrm{H} \to \,^4_2\mathrm{He} + \,^1_0\mathrm{n}. The masses of the nuclei are: m(2H)=2.014amum(\,^2\mathrm{H}) = 2.014\,\text{amu}, m(1H)=1.007amum(\,^1\mathrm{H}) = 1.007\,\text{amu}, m(3H)=1.008amum(\,^3\mathrm{H}) = 1.008\,\text{amu}, m(4He)=4.001amum(\,^4\mathrm{He}) = 4.001\,\text{amu}. If the average power radiated by the star is 1020W10^{20}\,\text{W}, the deuteron supply of the star is exhausted in a time of the order of