Step-by-step explanation:
A nuclear fission reaction is defined as the reaction in which a heavy nucleus splits into small nuclei along with release of energy.
The given reaction is
![^(235)_(92)U + ^(1)_(0)n \rightarrow ^(144)_(58)Ce + ^(90)_(38)Sr + x^(1)_(0)n + y^(0)_(-1)\beta](https://img.qammunity.org/2020/formulas/chemistry/college/micbbr4q0oq02ncserz91omqly532suwlr.png)
Now, we balance the mass on both reactant and product side as follows.
235 + 1 =
236 = 234 + x
x = 236 -234
= 2
So, now we balance the charge on both reactant and product side as follows.
92 + 0 =
![58 + 38 + (x * 0) + (y * -1)](https://img.qammunity.org/2020/formulas/chemistry/college/ctuo597m01h64g0gkf411njotrqltkhrs1.png)
92 = 96 - y
y = 4
Thus, we can conclude that there are 2 neutrons and 4 beta-particles are produced in the given reaction.
Therefore, reaction equation will be as follows.
![^(235)_(92)U + ^(1)_(0)n \rightarrow ^(144)_(58)Ce + ^(90)_(38)Sr + 2^(1)_(0)n + 4^(0)_(-1)\beta](https://img.qammunity.org/2020/formulas/chemistry/college/lqdtd798vkbmnmtu00wlh9zgsix909zilr.png)