Determine the percentage yield of Carbon, when 0.5 mole of Sucrose is decomposed and 70.0 g of C was collected during the experiment. Equation: C12H22O11 = 12 C + 11H2O
Solution:
Balanced chemical equation:
C12H22O11 → 12C + 11H2O
According to the equation above: n(C12H22O11) = n(C)/12
n(C) = 12 × n(C12H22O11) = 12 × 0.5 mol = 6 mol
Moles of C = 6 mol
Moles of C = Mass of C / Molar mass of C
Mass of C = Moles of C × Molar mass of C
The molar mass of C is 12 g mol-1.
Hence,
Mass of C = 6 mol × 12 g mol-1 = 72 g
Mass of C = 72.0 grams - Theoretical Yield
Mass of C = 70.0 grams - Actual Yield
Percentage Yield = (Actual Yield / Theoretical Yield) × 100%
Percentage Yield = (70.0 g / 72.0 g) × 100% = 97.2%
Percentage Yield = 97.2%
Answer: The percentage yield of carbon (C) is 97.2%.
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