Math

QuestionCalculate the moles of oxygen needed for 1.8 mol of carbon dioxide from burning octane (C8H18)\left(\mathrm{C}_{8} \mathrm{H}_{18}\right).

Studdy Solution

STEP 1

Question: What is the balanced chemical equation for the reaction of octane with oxygen?
A) C8H18 + O2 → CO2 + H2O B) C8H18 + 12.5O2 → 8CO2 + 9H2O C) C8H18 + 2O2 → 8CO2 + 9H2O D) C8H18 + O2 → 8CO2 + 18H2O
Answer: B) C8H18 + 12.5O2 → 8CO2 + 9H2O

STEP 2

Question: What is the mole ratio between carbon dioxide and oxygen in the balanced chemical equation?
A) 8:12.5 B) 2:1 C) 1:1 D) 12.5:8
Answer: A) 8:12.5

STEP 3

Question: How would you express the given problem as a ratio using the mole ratio from the balanced chemical equation?
A) 8/12.5 = x/1.8 B) 8/1.8 = x/12.5 C) 1.8/8 = x/12.5 D) 12.5/8 = 1.8/x
Answer: A) 8/12.5 = x/1.8

STEP 4

Question: Solve for x in the equation 8x = 1.8 * 12.5.
A) x = 1.8 * 12.5 / 8 B) x = 8 / 1.8 * 12.5 C) x = 8 * 12.5 / 1.8 D) x = 1.8 / 8 * 12.5
Answer: A) x = 1.8 * 12.5 / 8

STEP 5

Question: If the calculated value of x is 2.8125, what would be the value of x rounded to the correct number of significant digits?
A) 2.81 B) 2.812 C) 2.8 D) 3
Answer: C) 2.8

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