Answer:
1298 g
Explanation:
Data Given
mass of C₄H₁₀ = 3000 g
mass of water H₂O (Theoretical yield) = ?
Reaction Given:
2C₄H₁₀ + 13O2 -----> 8CO₂ + 10H₂O
Solution:
First find the mass of C₄H₁₀ from the reaction that it give how many grams of water.
Look at the reaction
2C₄H₁₀ + 13O2 -----> 8CO₂ + 10H₂O
2 mol 10 mol
So 2 mole of C₄H₁₀ give 10 moles of H₂O
Now
convert the moles into mass for which we have to know molar mass of C₄H₁₀ and H₂O
Molar mass of C₄H₁₀ = 4 (12) + 10(16) = 48 + 160
Molar mass of C₄H₁₀ = 208 g/mol
mass of C₄H₁₀
mass in grams = no. of moles x molar mass
mass of C₄H₁₀ = 2 mol x 208 g/mol
mass of C₄H₁₀ = 416 g
Molar mass of H₂O = 2+ 16
Molar mass of H₂O = 18g/mol
mass of H₂O
mass in grams = no. of moles x molar mass
mass of H₂O = 10 mol x 18 g/mol
mass of H₂O = 180 g
So,
416 g of C₄H₁₀ gives 180 g of water ( H₂O ) then how many grams of water will produced by 3000 g of C₄H₁₀
Apply unity Formula
416 g of C₄H₁₀ ≅ 180 g of water ( H₂O )
3000 g of C₄H₁₀ ≅ X g of water ( H₂O )
By cross multiplication
g of water ( H₂O ) = 180 g x 3000 g / 416 g
g of water ( H₂O ) = 1298 g
1298 g of water (H₂O) will produced by 3000 g of C₄H₁₀
So
The Theoretical yield of water (H₂O) = 1298 g