20.0 mL of a 0.80 M aqueous lead(II) nitrate solution is mixed with an excess of an aqueous sodium sulfate solution. If 1.6 g of lead(II) sulfate is isolated from the reaction mixture, what is the percent yield of lead(II) sulfate?

Respuesta :

Answer:

%yield of [tex]PbSO_{4}[/tex] is 33%

Explanation:

20.0 mL of 0.80 M [tex]Pb(NO_{3})_{2}[/tex] = [tex]\frac{20.0\times 0.80}{1000}[/tex] moles of

                                             = 0.016 moles of [tex]Pb(NO_{3})_{2}[/tex]

                                             = 0.016 moles of [tex]Pb^{2+}[/tex]

Balanced reaction: [tex]Pb^{2+}+SO_{4}^{2-}\rightarrow PbSO_{4}[/tex]

According to balanced equation, 1 mol of [tex]Pb^{2+}[/tex] produces 1 mol of [tex]PbSO_{4}[/tex]

So, 0.016 mol of [tex]Pb^{2+}[/tex] produces 0.016 mol of [tex]PbSO_{4}[/tex]

As sodium sulphate remains in excess amount therefore lead nitrate is the limiting reagent.

So, theoretical yield of [tex]PbSO_{4}[/tex] =  0.016 mol

Molar mass of [tex]PbSO_{4}[/tex] = 303.26 g/mol

So, theoretical yield of [tex]PbSO_{4}[/tex] = [tex](0.016\times 303.26)g=4.85g[/tex]

%yield of [tex]PbSO_{4}[/tex] = [(actual yield)/(theoretical yield)][tex]\times 100[/tex]%

                           =( [tex]\frac{1.6}{4.85}\times 100[/tex]) %    

                           = 33%