Answer : The concentration of [tex]SO_3^{2-}[/tex] solution is 0.002398 M
Explanation :
The given balanced net ionic equation for the reaction is:
[tex]2MnO_4^-(aq)+5SO_3^{2-}(aq)+6H_3O^+(aq)\rightarrow 2Mn^{2+}(aq)+5SO_4^{2-}(aq)+9H_2P(l)[/tex]
First we have to calculate the moles of [tex]MnO_4^-[/tex]
[tex]\text{Moles of }MnO_4^-=\text{Concentration of }MnO_4^-\times \text{Volume of solution}[/tex]
[tex]\text{Moles of }MnO_4^-=0.1147M\times 0.01918L[/tex]
Now we have to calculate the moles of [tex]SO_3^{2-}[/tex]
From the balanced chemical reaction we conclude that,
As, 2 moles of [tex]MnO_4^-[/tex] react with 5 moles of [tex]SO_3^{2-}[/tex]
So, 0.01918 moles of [tex]MnO_4^-[/tex] react with [tex]\frac{5}{2}\times 0.01918=0.04795[/tex] moles of [tex]SO_3^{2-}[/tex]
Now we have to calculate the concentration of [tex]SO_3^{2-}[/tex]
[tex]\text{Concentration of }SO_3^{2-}=\frac{\text{Moles of }SO_3^{2-}}{\text{Volume of solution}}[/tex]
[tex]\text{Concentration of }SO_3^{2-}=\frac{0.04795mol}{20.00mL}=0.002398M[/tex]
Therefore, the concentration of [tex]SO_3^{2-}[/tex] solution is 0.002398 M