Answer:
The correct answer is 15.80 grams.
Explanation:
The reaction taking place in the given question, Â
Pb(CH₃COO)₂ + Na₂SO₄ ⇒ PbSO₄ + 2NaCH₃COO
The number of moles can be calculated by using the formula, Â
n = weight / molecular mass
Based on the given question, the weight of lead (II) acetate is 23.81 grams and the weight of sodium sulfate is 7.410 grams. Â
The number of moles of Pb(CH₃COO)â‚‚ is, Â
n = 23.81 g / 325.29 g/mol = 0.0732 moles
The number of moles of Naâ‚‚SOâ‚„ is, Â
n = 7.410 g / 142.04 g/mol = 0.0521 moles
As one mole of lead (II) acetate needs one mole of sodium sulfate. Therefore, 0.0732 moles of lead (II) acetate needs 0.0732 moles of sodium sulfate. Â
However, as sodium sulfate is less, that is, 0.0521, therefore, Naâ‚‚SOâ‚„ is a limiting reactant. Â
One mole of sodium sulfate produces one mole of PbSOâ‚„. So, 0.0521 moles of Naâ‚‚SOâ‚„ produces 0.0521 moles of PbSOâ‚„. Â
Now the mass of PbSOâ‚„ is, Â
mass = moles × molecular mass
mass = 0.0521 × 303.26 g/mol
mass = 15.80 grams. Â