Answer:
Molarity of [tex]Cl^{-}[/tex] anion in solution is 0.122 M.
Explanation:
Chemical Reaction: [tex]ZnCl_{2}+K_{2}CO_{3}\rightarrow ZnCO_{3}+2KCl[/tex]
As KCl is a strong electrolyte therefore it dissociates completely in solution. Hence [tex]Cl^{-}[/tex] present in final solution is equal to [tex]Cl^{-}[/tex] present in 0.829 g of [tex]ZnCl_{2}[/tex].
Molar mass of [tex]ZnCl_{2}[/tex] = 136.286 g/mol
So, 0.829 g of [tex]ZnCl_{2}[/tex] = [tex]\frac{0.829}{136.286}[/tex] moles of [tex]ZnCl_{2}[/tex]
1 mol of [tex]ZnCl_{2}[/tex] contains 2 moles of [tex]Cl^{-}[/tex].
Hence number of moles of [tex]Cl^{-}[/tex] in solution = [tex](2\times \frac{0.829}{136.286})[/tex] moles
So, molarity of [tex]Cl^{-}[/tex] in solution = [(number of moles of [tex]Cl^{-}[/tex] in solution)/(volume of solution in mL)][tex]\times 1000[/tex]
= [tex]\frac{(2\times \frac{0.829}{136.286})}{100.}\times 1000[/tex] M
= 0.122 M