Lead(II) oxide from an ore can be reduced to elemental lead by heating in a furnace with carbon.

PbO(s) + C(s)= Pb(l) + CO(g)
Calculate the expected yield of lead if 90.0 kg of lead oxide is heated with 90.0 kg of carbon.

Never mind! I got it! :)

This is just like the urea problem. It's another limiting reagent problem.

To calculate the expected yield of lead, we need to determine the limiting reactant first. The limiting reactant is the reactant that will be completely consumed first and therefore determines the maximum amount of product that can be formed.

First, we need to calculate the number of moles for each reactant:

- Lead(II) oxide (PbO): Given the molar mass of PbO is 223.2 g/mol.
Number of moles of PbO = mass / molar mass
Number of moles of PbO = 90.0 kg / (223.2 g/mol) = 403.2 mol

- Carbon (C): Given the molar mass of C is 12.01 g/mol.
Number of moles of C = mass / molar mass
Number of moles of C = 90.0 kg / (12.01 g/mol) = 7496 mol

Next, we need to determine the stoichiometric ratio between the reactants in the balanced chemical equation. The equation shows a 1:1 ratio between PbO and C. This means that 1 mole of PbO reacts with 1 mole of C.

Now, to find the limiting reactant, we compare the moles of each reactant. The reactant with the lesser number of moles will be the limiting reactant.

Number of moles of PbO = 403.2 mol
Number of moles of C = 7496 mol

Since PbO has fewer moles, it is the limiting reactant.

The balanced chemical equation tells us that 1 mole of PbO reacts to produce 1 mole of Pb. Therefore, the number of moles of Pb produced will be the same as the number of moles of PbO, which is 403.2 mol.

Finally, we can calculate the mass of lead (Pb) produced using its molar mass:

Mass of Pb = number of moles of Pb x molar mass of Pb
Mass of Pb = 403.2 mol x (207.2 g/mol) = 83,587 g

Converting this mass to kilograms:
Mass of Pb = 83,587 g / 1000 = 83.6 kg (rounded to one decimal place)

Therefore, the expected yield of lead would be approximately 83.6 kg when 90.0 kg of lead oxide is heated with 90.0 kg of carbon.