A future commercial nuclear fusion reactor is designed to power a large coastal city on Earth using the deuterium–tritium fusion reaction:
H2+H3→He4+n1+17.6 MeV \text{H}^2 + \text{H}^3 \rightarrow \text{He}^4 + \text{n}^1 + 17.6\text{ MeV} H2+H3→He4+n1+17.6 MeVThe plant operates with an overall thermal-to-electrical conversion efficiency of 35.0% and must deliver a continuous electrical power output of 1.40 GW1.40\text{ GW}1.40 GW to the grid. What is the daily mass consumption of deuterium (2H^2\text{H}2H) required by this power plant?
(Take the mass of a deuterium nucleus to be 2.014 u2.014\text{ u}2.014 u, where 1 u=1.661×10−27 kg1\text{ u} = 1.661 \times 10^{-27}\text{ kg}1 u=1.661×10−27 kg and 1 eV=1.602×10−19 J1\text{ eV} = 1.602 \times 10^{-19}\text{ J}1 eV=1.602×10−19 J.)
140 g140\text{ g}140 g
410 g410\text{ g}410 g
50 g50\text{ g}50 g
17 g17\text{ g}17 g