2001B7. Consider the following nuclear fusion reaction that uses deuterium as…

PHYSICS · Multi-part · A Level · Physics · Nuclear physics · Nuclear physics

Problem

2001B7. Consider the following nuclear fusion reaction that uses deuterium as fuel. 3(12H)→24He+11H+01n3\left({ }_{1}^{2} \mathrm{H}\right) \rightarrow{ }_{2}^{4} \mathrm{He}+{ }_{1}^{1} \mathrm{H}+{ }_{0}^{1} \mathrm{n} (a) Determine the mass defect of a single reaction, given the following information. 12H=2.0141u24He=4.0026u11H=1.0078u01n=1.0087u{ }_{1}^{2} H=2.0141 u \quad{ }_{2}^{4} H e=4.0026 u \quad{ }_{1}^{1} H=1.0078 u \quad { }_{0}^{1} n=1.0087 u (b) Determine the energy in joules released during a single fusion reaction. (c) The United States requires about 1020 J10^{20} \mathrm{~J} per year to meet its energy needs. How many deuterium atoms would be necessary to provide this magnitude of energy? (d) What mass of deuterium, in kg, is needed to provide this energy per year

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