Answer:
The particle which completes the given equation is :
![_(54)^(138)\textrm{Xe}](https://img.qammunity.org/2020/formulas/physics/high-school/23ll2q8vzi28wka6unnw46m22ibemxcj64.png)
Step-by-step explanation:
The given reaction is of a fission reaction:
![_(94)^(239)\textrm{Pu}+_0^1\textrm{n}\rightarrow _(40)^(100)\textrm{Zr}+_Z^A\textrm{X}+2_0^1\textrm{n}](https://img.qammunity.org/2020/formulas/physics/high-school/fmg4td8tjg4u9v7s0bdlpody6d1x101ttu.png)
Total mass on the reactant side is equal to the total mass on the product side:
239 + 1 = 100 +A+ 2
A = 138
Sum of atomic numbers on the reactant side is equal to the sum of atomic number on the product side:
94 + 1(0) = 40 + Z + 2(0)
Z = 54
So atomic number 54 id of Xenon.
The particle which completes the given equation is :
![_(94)^(239)\textrm{Pu}+_0^1\textrm{n}\rightarrow _(40)^(100)\textrm{Zr}+_(54)^(138)\textrm{Xe}+2_0^1\textrm{n}](https://img.qammunity.org/2020/formulas/physics/high-school/ngu0ufsxkbniomtjmuz4ajr2dhi3zo8gz6.png)