Explanation:
Let us assume that mass of nickel(II) iodide is 2.90 g, volume is 150.ml, and concentration is 0.70 M.
When [tex]K_{2}CO_{3}[/tex] is added into the solution then it will not affect the [tex]I^{-}[/tex] concentration.
[tex]NiI_{2} \rightarrow Ni^{2+} + 2I^{-}[/tex]
Moles of [tex]NiI_{2}[/tex] = [tex]\frac{mass}{\text{molar mass of nickel iodide}}[/tex]
= [tex]\frac{2.90}{312.50}[/tex]
= 0.00928 mol
Moles of [tex]I^{-}[/tex] = [tex]2 \times moles of NiI_{2}[/tex]
= [tex]2 \times 0.00928[/tex]
= 0.01856 mol
Molarity of [tex]I^{-}[/tex] = [tex]\frac{moles of I^{-}}{\text{volume of solution}}[/tex]
= [tex]\frac{0.01856}{0.150}[/tex]
= 0.124 M
Thus, we can conclude that final molarity of iodide anion in the solution is 0.124 M.