At temperatures above 930 ∘C, PbO reduces PbS to form metallic lead (Pb). The byproduct of the reaction is SO2. Calculate the amount of lead produced (in kg) when a reactor is charged with 207.0 kg of PbS and 310 kg of PbO.

Please help!!!

3/2(no.of moles of PbO)

28kg

To calculate the amount of lead produced in the reaction, we need to first determine the limiting reactant. This is the reactant that will be completely consumed first, thus determining the maximum amount of product that can be formed.

To do this, we can compare the number of moles of each reactant to the stoichiometric ratio in the balanced equation.

The balanced equation for the reaction is:

PbS + 2PbO -> 3Pb + SO2

From the equation, we can see that for every 1 mole of PbS, we need 2 moles of PbO to react completely.

Step 1: Convert the masses of PbS and PbO to moles.

Molar mass of PbS = 207.2 g/mol
Molar mass of PbO = 223.2 g/mol

Moles of PbS = 207.0 kg / 207.2 g/mol = 1000 moles (approx.)
Moles of PbO = 310.0 kg / 223.2 g/mol = 1389 moles (approx.)

Step 2: Determine the limiting reactant.

To determine the limiting reactant, we compare the moles of each reactant to the stoichiometric ratio.

From the balanced equation, we know that 1 mole of PbS reacts with 2 moles of PbO. Therefore, if we have 1000 moles of PbS, we would need 2000 moles of PbO for complete reaction.

Since we only have 1389 moles of PbO, which is less than the required amount, PbO is the limiting reactant. This means that all the PbO will be consumed in the reaction, and there will be some excess PbS left over.

Step 3: Calculate the amount of lead produced.

From the balanced equation, we can see that 1 mole of PbS produces 3 moles of Pb. Therefore, if 1000 moles of PbS were to react, we would expect to produce 3000 moles of Pb.

Moles of Pb = 3000 moles (approx.)

Step 4: Convert moles of Pb to kilograms.

Molar mass of Pb = 207.2 g/mol
Mass of Pb = Moles of Pb x Molar mass of Pb
= 3000 moles x 207.2 g/mol
= 621600 g
= 621.6 kg

Therefore, when the reactor is charged with 207.0 kg of PbS and 310 kg of PbO, approximately 621.6 kg of Pb will be produced.