If 61.1 mL of lead(II) nitrate solution reacts completely with excess sodium iodide solution to yield 0.636 g of precipitate, what is the molarity of lead(II) ion in the original solution?

Respuesta :

Answer:

Molarity of Pb (II) ion in original solution is 0.0226 M

Explanation:

[tex]Pb(NO_{3})_{2}[/tex] is precipitated as [tex]PbI_{2}[/tex] when NaI is added to solution of [tex]Pb(NO_{3})_{2}[/tex]

Balanced reaction: [tex]Pb(NO_{3})_{2}+2NaI\rightarrow PbI_{2}+2NaNO_{3}[/tex]

Molar mass of [tex]PbI_{2}[/tex] = 461.01 g/mol

So, 0.636 g of [tex]PbI_{2}[/tex] = [tex]\frac{0.636}{461.01}[/tex] mol of

                              = 0.00138 mol of [tex]PbI_{2}[/tex]

                              = 0.00138 mol of Pb (II) ion

So, 61.1 mL of [tex]Pb(NO_{3})_{2}[/tex] solution contains 0.00138 mol of Pb (II) ion

Hence, molarity of Pb (II) ion in original solution = [tex]\frac{0.00138}{61.1}\times 1000M[/tex] = 0.0226 M