The coefficients are 1 : 2 : 1 : 1
Step-by-step explanation:
To be a balanced equation, the chemical equation should have has equal number of atoms on both reactant and product side.
Given chemical equation:
![a_(0) {SnSO}_(4)+a_(1) K B r \rightarrow a_(2) {SnBr}_(2)+a_(3) K_(2) S O_(4)](https://img.qammunity.org/2021/formulas/chemistry/middle-school/eag980913pkzyymudunax0ebsyy80imn3m.png)
Now, calculate the number of atoms present in reactant side:
Sn - 1
- 1
K - 1
Br - 1
Then, calculate the number of atoms present in product side:
Sn - 1
- 1
K - 2
Br - 2
Therefore, in order to balance this given chemical equation multiply KBr by 2 on reactant side. So, the balanced chemical equation is as follows.
![\Sn S O_(4)+2 K B r \rightarrow S n B r_(2)+K_(2) S O_(4)](https://img.qammunity.org/2021/formulas/chemistry/middle-school/qo4typ9sxsr9yfo65c22nccaiso0kuc148.png)
Hence,
![a_(0) - 1\\a_(1) - 2\\a_(2) - 1\\a_(3) - 1](https://img.qammunity.org/2021/formulas/chemistry/middle-school/jkuko6sef65uiildokovj3ecgj36x5si21.png)