Answer:
1. Percent yield Trial 1: 93.1 %
2. Leftover reactant for Trial 1: 81.3 g
3. Percent yield Trial 2: 95.1%
4. What ratio of reactants is more efficient: the ratio of the Trial 2: 75g / 50g
Explanation
1) <u>Data</u> (the table is copied for better understanding of the data)
Trial Start. Amount of SiCl₄ Start, Amount of O₂ Actual Yield of SiO₂
1 100 g 100 g 32.96 g
2 75 g 50 g 25.2 g
2) <u>Percent yield for SiO₂ for Trial 1</u>.
a) <u>Balanced chemical equation</u>:
b) <u>Mole ratio</u>:
- 1 mol SiCl₄ : 1 mol O₂ : 1 mol SiO₂ : 2Cl₂
c) <u>Limiting reactant</u>:
- SiCl₄ (it is given that oxygen is the excess reactant)
d) <u>Convert 100 g of SiCl₄ to moles</u>
- moles = mass in grams / molar mass
- molar mass of SiCl₄: 169.9 g/mol
- moles = 100 g / 169.9 g/mol = 0.589 mol
e) <u>Find moles of SiO₂ using proportions and theoretical mole ratio</u>:
- 1 mol SiCl₄ / 1 mol SiO₂ = 0.589 mol SiCl₄ / x
⇒ x = 0.589 mol SiO₂
f) <u>Convert 0.589 mol SiO₂ to grams</u>:
- mass in grams = number of moles × molar mass
- molar mass SiO₂ = 60.08 g/mol
- theoretical yield of SiO₂ = 0.589 mol × 60.08 g/mol = 35.4 g
g)<u> Compute percent yield</u>:
- percent yield = (actual yield / theoreticl yield) × 100
- percent yield = (32.96 g / 35.4 g) × 100 = 93.1%
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<u>3) Leftover reactant</u>
a) <u>Convert 100 g of O₂ to moles</u>
- moles = mass in grams / molar mass
- molar mass of O₂ = 32.0 g/mol
- moles of O₂ = 100 g / 32.0 g/mol = 3.13 mol
b) <u>Excess:</u>
- 3.13 mol - 0.589 mol = 2.54 mol O₂
c)<u> Convert 2.54 mol of O₂ to grams</u>:
- mass = number of moles × molar mass = 2.54 mol × 32.0 g/mol = 81.2 g
<u>4) Percent yield for trial 2</u>
a) <u>Convert 75 g of SiCl₄ to moles</u>
- moles = mass in grams / molar mass
- molar mass of SiCl₄: 169.9 g/mol
- moles = 75 g / 169.9 g/mol = 0.441 mol
b) <u>Find moles of SiO₂ using proportions and theoretical mole ratio</u>:
- 1 mol SiCl₄ / 1 mol SiO₂ = 0.441 mol SiCl₄ / x
⇒ x = 0.441 mol SiO₂
c) <u>Convert 0.441 mol SiO₂ to grams</u>:
- mass in grams = number of moles × molar mass
- molar mass SiO₂ = 60.08 g/mol
- theoretical yield of SiO₂ = 0.441 mol × 60.08 g/mol = 26.5 g
d)<u> Compute the percentage yield</u>:
- percentage yield = (actual yield / theoreticl yield) × 100
- percentage yield = (25.2 g / 26.5 g) × 100 = 95.1%
e) Conclusion: Since the second trial had a greater percentage yield than the first trial (95.1% vs 93.1 %), the ratio of the Trial 1 is more efficient for the given reaction.