The coefficients are 1 : 2 : 1 : 1
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:
[tex]a_{0} {SnSO}_{4}+a_{1} K B r \rightarrow a_{2} {SnBr}_{2}+a_{3} K_{2} S O_{4}[/tex]
Now, calculate the number of atoms present in reactant side:
Sn - 1
[tex]S O_{4}[/tex] - 1
K - 1
Br - 1
Then, calculate the number of atoms present in product side:
Sn - 1
[tex]S O_{4}[/tex] - 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.
[tex]\Sn S O_{4}+2 K B r \rightarrow S n B r_{2}+K_{2} S O_{4}[/tex]
Hence,
[tex]a_{0} - 1\\a_{1} - 2\\a_{2} - 1\\a_{3} - 1[/tex]