Answer:
Balanced equation: H₂S₂O₇ + H₂O → 2H₂SO₄
Theoretical yield of H₂SO₄: 1322 g
Percent yield for the H₂SO₄ production: 33%
Step-by-step explanation:
First of all, we determine the balanced equation:
H₂S₂O₇ + H₂O → 2H₂SO₄
Stoichiometry says that 1 mol of oleum reacts to 1 mol of water in order to produce 2 moles of sulfuric acid.
1.20 kg = 1200 g
We convert the grams to moles → 1200 g . 1mol/ 178.12g = 6.74 mol
Ratio is 1:2, so if we have 6.74 mol of oleum we can produce the double of moles of acid. (6.74 . 2) = 13.48 moles of acid.
This is the 100 % yield reaction, or it can be called theoretical yield.
We convert the moles to mass → 13.48 mol . 98g /1mol = 1322 g of acid may be produced.
In the problem, they said we produced 435 g of acid, so let's determine the percent yield.
Percent yield of reaction = (Produced yield / Theoretical yield) . 100
Percent yield of reaction = (435 / 1322) . 100 → 33 %