Balance the following nuclear fusion reactions by applying conservation of charg

Question

Balance the following nuclear fusion reactions by applying conservation of charge and of nucleons: 1D2 + 1T3 rightarrow 0n1 + ? ( DT fusion reaction ) 1D2 + 1D2 rightarrow 1H1 + ? ( Proton branch of the DD fusion reaction ) 1D2 + 1D2 rightarrow 0n1 + ? ( Neutron branch of the DD fusion reaction ) 1D2 + 2He3 rightarrow 2He4 + ? ( Aneutronic or neutronless DHe3 reaction ) . By adding the four reactions, deduce the overall equation for the catalyzed DD reaction, where tritium T3 and He3 act as catalysts.

Explanation / Answer

            The balanced equations are:                           1. 1D2+1T3 ..........>  0n1 + 2He4                     2.  1D2+ 1D2 ..........> 1H1 +1T3                       3.  1D2+ 1D2 ..........>  0n1 + 2He3                     4. 1D2 +2He3 ...........>2He4 + 1H1                        ................................................................. Overall equation : 61D2 +1T3 + 2He3 ..........> 2 2He4 + 2He3 + 21H1   +2 0n1 + 1T3                            Oncancellation of same species on both sides , we get                           61D2  ..........> 2 2He4  + 21H1   +2 0n1  as overallreaction                                           ................................................................. Overall equation : 61D2 +1T3 + 2He3 ..........> 2 2He4 + 2He3 + 21H1   +2 0n1 + 1T3                            Oncancellation of same species on both sides , we get                           61D2  ..........> 2 2He4  + 21H1   +2 0n1  as overallreaction                                               Oncancellation of same species on both sides , we get                           61D2  ..........> 2 2He4  + 21H1   +2 0n1  as overallreaction                   

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