00:01
Hello, and in this question here, we want to determine the energy that is released in this nuclear reaction.
00:07
So we have a slow moving neutron that is captured by uranium, and the uranium fissions into xenon, astrontium, and 12 neutrons.
00:17
The masses of all the products are just given here, and i found these masses by looking at the appendices in the back of the book.
00:24
Okay? now, to determine the energy that is released in this reaction, we're going to apply the conservation of energy.
00:31
So the initial energy of the system, okay, well that is equal to the rest mass energy of the neutron plus the rest mass energy of the uranium.
00:41
We assume the neutron is slow moving, and in that sense, the kinetic energy of the neutron is small in comparison to the rest mass energies.
00:51
Okay? now, the final energy is equal to the rest mass energy of the strontium plus the rest mass energy of the xenon, plus the rest mass energy of the xenon, plus 12 times the rest mass energy of a neutron plus the energy that is released to the environment.
01:07
Now this energy released is in the form of kinetic energy of the neutrons, the strontium and the xenon.
01:14
And we can rearrange this equation to get that the energy released to the environment is equal to the mass of uranium minus 11 times the mass of the neutron minus the mass of the strontium minus the mass of the xenon.
01:27
This is all multiplied by c squared of course...