During each fusion reaction between a deuterium nucleus ( ) and a tritium nucleus ( )

PHYSICS · Subjective · CBSE · Physics · Nuclei · Nuclei

Problem

During each fusion reaction between a deuterium nucleus (A=2A=2) and a tritium nucleus (A=3A=3), an energy of 17.6 MeV17.6\,\text{MeV} is released. Calculate the total mass of the D–T mixture that must undergo fusion to supply a constant power output of 5.0 GW5.0\,\text{GW} for 1 h1\,\text{h}. (Assume one reaction consumes one deuterium and one tritium nucleus. Take NA=6.02×1023 mol−1N_A = 6.02\times10^{23}\,\text{mol}^{-1}, 1 u=1.66×10−27 kg1\,\text{u}=1.66\times10^{-27}\,\text{kg}, 1 eV=1.6×10−19 J1\,\text{eV}=1.6\times10^{-19}\,\text{J}.)

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