Answer:
4.13 g
Explanation:
Data Given:
Amount of CO₂ Produced = 15 g
Amount of Oxygen = 11 g
Amount of Carbon used = ?
Solution:
Suppose Carbon dioxide (CO₂) is formed by the reaction of carbon and oxygen then the reaction will be as below
C + O₂ -------------> CO₂
1 mol 1 mol 1 mol
we come to know from the above reaction that
1 mole of carbon react with 1 mole of oxygen to produce 1 mol of carbon dioxide.
molar mass of C = 12 g/mol
molar mass of O₂ = 32 g/mol
molar mass of CO₂ = 12 + 2(16) = 44 g/mol
if we represent mole in grams then
C + O₂ -------------> CO 1 mol (12 g/mol) 1 mol (32 g/mol) 1 mol (44 g/mol)
C + O₂ -------------> CO₂
12 g 32 g 44 g
So,
we come to know that 32 g of Oxygen combine with 12 g of oxygen produce 44 g CO₂
So now how much of Carbon will be combine with 11 g of oxygen
apply unity formula
32 g of O₂ ≅ 12 g of C
11 g of O₂ ≅ g of C
by doing cross multiplication
g of C = 12 g x 11 g / 32 g
g of C = 132 g / 32 g
g of C = 4.13 g
So,
4.13 g of carbon will consume to produce 15 g of Carbon dioxide.
to check this answer
we use the above information
12 g of C ≅ 44 g of CO₂
4.13 g of C ≅ g of CO₂
by doing cross multiplication
g of CO₂ = 44 g x 4.13 g / 12 g
g of CO₂ = 15g
So it is confirmed that
4.13 g of carbon will consume to produce 15 g of Carbon dioxide.
