Math  /  Algebra

QuestionThe burner in a gas grill mixes 24.0 volumes of air for every one volume of propane ( C3H8)\left.\mathrm{C}_{3} \mathrm{H}_{8}\right) fuel. Given: like all gases, the volume that propane occupies is directly proportional to the number of moles of it at a given temperature and pressure. Air is 21.0%21.0 \% (by volume) O2\mathrm{O}_{2}.
1st attempt
Part 1 (1 point)
How many moles of propane are needed to completely use up the oxygen in 24.0 moles of air? \square mol propane

Studdy Solution
Calculate the moles of propane needed to react with the calculated moles of oxygen.
Using the stoichiometry from the balanced equation:
Moles of propane=Moles of O25=5.045=1.008 moles of propane \text{Moles of propane} = \frac{\text{Moles of } \mathrm{O}_2}{5} = \frac{5.04}{5} = 1.008 \text{ moles of propane}
The number of moles of propane needed is:
1.008 \boxed{1.008}

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