Solveeit Logo

Question

Question: The nuclear reaction \(2 ⥂ H +^{2} ⥂ H \rightarrow^{4} ⥂ He\) (mass of deuteron = 2.0141 a.m.u. and...

The nuclear reaction 2H+2H4He2 ⥂ H +^{2} ⥂ H \rightarrow^{4} ⥂ He

(mass of deuteron = 2.0141 a.m.u. and mass of

He = 4.0024 a.m.u.) is.

A

Fusion reaction releasing 24 MeV energy

B

Fusion reaction absorbing 24 MeV energy

C

Fission reaction releasing 0.0258 MeV energy

D

Fission reaction absorbing 0.0258 MeV energy

Answer

Fusion reaction releasing 24 MeV energy

Explanation

Solution

Total mass of reactants=(2.0141)×2=4.02826muamu= (2.0141) \times 2 = 4.0282\mspace{6mu} amu

Total mass of products =4.00246muamu= 4.0024\mspace{6mu} amu

Mass defect =4.02826muamu4.00246muamu= 4.0282\mspace{6mu} amu - 4.0024\mspace{6mu} amu

=0.02586muamu= 0.0258\mspace{6mu} amu

\thereforeEnergy releasedE=931×0.0258=246muMeVE = 931 \times 0.0258 = 24\mspace{6mu} MeV

=(2.0141)×2=4.02826muamu= (2.0141) \times 2 = 4.0282\mspace{6mu} amu

=4.00246muamu= 4.0024\mspace{6mu} amu

=4.02826muamu4.00246muamu= 4.0282\mspace{6mu} amu - 4.0024\mspace{6mu} amu

=0.02586muamu= 0.0258\mspace{6mu} amu \therefore E=931×0.0258=246muMeVE = 931 \times 0.0258 = 24\mspace{6mu} MeV)