Please help i am horrible at Stoichiometry?

2020-09-01 11:59 pm
Balance the following chemical equation, then answer the following question.

C8H18(g)+O2(g)→CO2(g)+H2O(g)

How many grams of oxygen are required to react with 18.0 grams of octane (C8H18) in the combustion of octane in gasoline?

Express the mass in grams to one decimal place.

回答 (2)

2020-09-02 12:52 am
Molar mass of C₈H₁₈ = (12.0×8 + 1.0×18) g/mol = 114.0 g/mol
Molar mass of O₂ = 16.0×2 g/mol = 32.0 g/mol

The balanced equation for the reaction:
2 C₈H₁₈(g) + 25 O₂(g) → 8 CO₂(g) + 9 H₂O(g)
Mole ratio C₈H₁₈ : O₂ = 2 : 25

No. of moles of C₈H₁₈ = (18.0 g) / (114.0 g/mol) = 0.1579 mol
No. of moles of O₂ = (0.1579 mol) × (25/2) = 1.974 mol
Mass of O₂ needed = (1.974 mol) × (32.0 g/mol) = 63.2 g

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OR:

(18.0 g C₈H₁₈) × (1 mol C₈H₁₈ / 114.0 g C₈H₁₈) × (25 mol O₂ / 2 mol C₈H₁₈) × (32.0 g O₂ / 1 mol O₂)
= 63.2 g O₂
2020-09-02 12:07 am
Octane + Oxygen ➜ Carbon Dioxide + water
2C₈H₁₈ + 25O₂ ➜ 16CO₂ + 18H₂O
molecular weights
C = 12
H = 1
O = 16
2C₈H₁₈ = 2(8•12+18) = 228
25O₂ = 25•16•2 = 800
16CO₂ = 16(12+32) = 704
18H₂O = 18•18 = 324
check 228+800 = 704+324 = 1028 ok

2 mole of C₈H₁₈ + 25 moles of O₂ ➜ 16 mole of CO₂ + 18 moles of H₂O
228 grams of C₈H₁₈ + 800 grams of O₂ ➜ 704 grams of CO₂ + 324 grams of H₂O


How many grams of oxygen are required to react with 18.0 grams of octane in the combustion of octane in gasoline?


ratio is 800/225  grams
800/225 = x/18
x = 64 g


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