The fusion reaction ²H + ³H $\rarr$⁴He + ¹n releases 17.6 MeV of energy.The mass of ²H is 2.01410 u,the mass of ⁴He is 4.00260 u,and the mass of ¹n is 1.00866 u.What is the mass of ³H?

Question

Quizplus · Accepted Answer

Using conservation of mass-energy: Initial mass = (2.01410+1.00866+2.01410+1.00866) u = 6.04552 u Final mass = (4.00260+1.00866+mass of ³H) u ∆m = initial mass - final mass = 0.03120 u Using E = ∆mc^2, where c is the speed of light: 17.6 MeV = (0.03120 u)(299792458 m/s)^2(1.60218x10^-13 J/MeV) Solving for mass of ³H gives 3.01605 u. Therefore, the answer is B.

The Fusion Reaction 2H + 3H →\rarr→ 4He + 1n Releases 17

The Fusion Reaction ²H + ³H $\rarr$ ⁴He + ¹n Releases 17