Answer: The atomic number and mass number of the new element formed is 89 and 228 respectively.
Step-by-step explanation:
Beta decay is defined as the process in which beta particle is emitted. In this process, a neutron gets converted to a proton and an electron. The released beta particle is also known as electron.
In this process, the atomic number of the daughter nuclei gets increased by a factor of 1 but the mass number remains the same.
![_Z^A\textrm{X}\rightarrow _(Z+1)^A\textrm{Y}+_(-1)^0\beta](https://img.qammunity.org/2021/formulas/physics/high-school/9eertkt0z3xjlx83ez96ip1jwqiciiwdna.png)
The chemical equation for the beta decay of Ra-228 follows:
![_(88)^(228)\tyextrm{Ra}\rightarrow _(89)^(228)\textrm{Ac}+_(-1)^0\beta](https://img.qammunity.org/2021/formulas/chemistry/college/ias5lxbp51okn8x8lzcd6qcd0untyulk1l.png)
Hence, the atomic number and mass number of the new element formed is 89 and 228 respectively.