Explanation:
We are given: mass of PbS = 393g
: mass of PbO = 593g
We know: molar of PbS = 239.3g/mol
: molar mass of PbO = 223.2g/mol
: molar mass of Pb = 207.2g/mol
m is mass and M is molar mass.
We first determine the mass of Pb from the mass of PbS:
[tex]\begin{gathered} m(Pb)\text{ = }\frac{m(PbS)}{M(PbS)}\text{ }\times\frac{n(Pb)}{n(PbS)}\text{ }\times M(Pb) \\ \\ \text{ = }\frac{393}{239.3}\times\frac{3}{1}\times207.2 \\ \\ \text{ = 1020.85g} \end{gathered}[/tex]We then determine the mass of Pb from the mass of PbO:
[tex]\begin{gathered} M(Pb)\text{ = }\frac{m(PbO)}{M(PbO)}\times\frac{n(Pb)}{n(PbO)}\times M(Pb) \\ \\ \text{ = }\frac{593}{223.2}\times\frac{3}{2}\times207.2 \\ \\ \text{ = 825.74g} \end{gathered}[/tex]From the masses obtained above, it is clear to observe that PbO is the limiting reactant.
Answer:
mass of Pb = 826g