Respuesta :
The % yield if 500 g of sulfur trioxide reacted with excess water to produce 575 g of sulfuric acid is calculated using the below formula
% yield = actual yield/ theoretical yield x100
actual yield =575 grams
to calculate theoretical yield
find the moles of SO3 used =mass/molar mass
= 500g/ 80 g/mol =6.25 moles
SO3+H2O=H2SO4
by use of mole ratio of SO3 : H2SO4 which is 1:1 the moles of H2SO4 is also= 6.25 moles
the theoretical yield of H2SO4 is therefore = moles /molar mass
= 6.25 x98= 612.5 grams
%yield is therefore= 575 g/612 g x100= 93.9 %
% yield = actual yield/ theoretical yield x100
actual yield =575 grams
to calculate theoretical yield
find the moles of SO3 used =mass/molar mass
= 500g/ 80 g/mol =6.25 moles
SO3+H2O=H2SO4
by use of mole ratio of SO3 : H2SO4 which is 1:1 the moles of H2SO4 is also= 6.25 moles
the theoretical yield of H2SO4 is therefore = moles /molar mass
= 6.25 x98= 612.5 grams
%yield is therefore= 575 g/612 g x100= 93.9 %
The percentage yield of the reaction is 93.9%
We'll begin by calculating the mass of SO₃ that reacted and the mass of H₂SO₄ produced from the balanced equation.
SO₃ + H₂O —> H₂SO₄
Molar mass of SO₃ = 32 + (3×16) = 80 g/mol
Mass of SO₃ from the balanced equation = 1 × 80 = 80 g
Molar mass of H₂SO₄ = (2×1) + 32 + (16×4) = 98 g/mol
Mass of H₂SO₄ from the balanced equation = 1 × 98 = 98 g
SUMMARY:
From the balanced equation above,
80 g of SO₃ reacted to produce 98 g of H₂SO₄
Next, we shall determine the theoretical yield of H₂SO₄
From the balanced equation above,
80 g of SO₃ reacted to produce 98 g of H₂SO₄.
Therefore,
500 g of SO₃ will react to produce = (500 × 98) / 80 = 612.5 g of H₂SO₄.
Finally, we shall determine the percentage yield.
- Actual yield = 575 g
- Theoretical yield = 612.5 g
- Percentage yield =?
Percentage yield = (Actual /Theoretical) × 100
Percentage yield = (575 / 612.5) × 100
Percentage yield = 93.9%
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