(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Two deuterium nuclei (deuterium= 2.014102u) combine thru fusion to form a tritium nucleus (mass 3.016050u) and a proton.

2. Attempt at solution

Two parts to this problem:

a) Calculate the energy released in one fusion reaction (in MeV).

So for this I went [(initial masses)-(final masses)]c^2.

So [(2x2.014102u)-(3.016050u + 1.007276u)]931.5 MeV/u (we are given c^2=931.5MeV/u)

So I get 4.54 MeV. The answer is supposed to be 4.03 MeV. What am I doing wrong?

b)Calculate the ratio of enery released from 1.00x10^22 deuterium nuclei to 1kg of gasoline (5.00x10^7 J).

Using the correct answer from part a, I go:

4.03 Mev x 1.00x10^22 / ((5.00x10^7 J x 1 eV/1.60x10^-19 J) x 1MeV / 10^6 eV) and i get 128.96. The correct answer is 64.6. Again, what am I doing wrong :p.

Thanks for the help in advance!

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# Homework Help: Energy released In Fusion

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