# Nuclear Fission - Calculations of Energy

1. Apr 24, 2010

### Lissajoux

1. The problem statement, all variables and given/known data

Example nuclear fission:

$${}_{92}^{235}U+{}_{0}^{1}n \rightarrow {}_{38}^{90}Sr+{}_{54}^{163}Xe+10{}_{0}^{1}n+Q$$

How much energy does such fission release?

2. Relevant equations

I'm given the values of $M({}^{235}U), m_{n}, M({}^{90}Sr), M({}^{136}Xe)$ but I've not listed them here.

3. The attempt at a solution

I thought that Q(energy) = energy in final state - energy in initial state. I.e. that:

$$Q={}_{38}^{90}Sr+{}_{54}^{163}Xe+9{}_{0}^{1}n -{}_{92}^{235}U$$

But this gives me a negative answer, of around $-0.15u$. I thought that it should be positive, unless this is just from how I've set out the equation and can just say it's positive. Done a few things similar to this, but still rather confused with getting the hang of it.

2. Apr 24, 2010

### nickjer

To get it straight just remember that you are conserving energy, so $$E_i = E_f$$. Using this you get:

$$U+n = Sr+Xe+10n+Q$$

$$Q = (U+n)-(Sr+Xe+10n)$$

So, Q = (initial masses) - (final masses). Now it will be positive, meaning energy was released during this reaction. It all depends on where you put the Q in the reaction formula. It would be the other way around if Q was on the initial side (meaning it takes energy to perform the reaction).