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Multiple Choice
How many moles of carbon dioxide are produced in the combustion reaction of 65.14 g of C5H10(g)?2C5H10(g) + 15O2(g) → 10CO2(g) + 10H2O(l)
A
1.86 moles
B
3.72 moles
C
4.65 moles
D
0.93 moles
Verified step by step guidance
1
First, identify the balanced chemical equation for the combustion of C5H10: 2C5H10(g) + 15O2(g) → 10CO2(g) + 10H2O(l). This equation shows the stoichiometric relationship between reactants and products.
Calculate the molar mass of C5H10. The molar mass is determined by adding the atomic masses of all atoms in the molecule: C (12.01 g/mol) and H (1.01 g/mol). Therefore, the molar mass of C5H10 is (5 * 12.01) + (10 * 1.01) g/mol.
Convert the given mass of C5H10 (65.14 g) to moles using the molar mass calculated in the previous step. Use the formula: \( \text{moles of C5H10} = \frac{\text{mass of C5H10}}{\text{molar mass of C5H10}} \).
Use the stoichiometry of the balanced equation to find the moles of CO2 produced. According to the equation, 2 moles of C5H10 produce 10 moles of CO2. Set up a proportion: \( \frac{\text{moles of CO2}}{\text{moles of C5H10}} = \frac{10}{2} \).
Finally, calculate the moles of CO2 produced by multiplying the moles of C5H10 by the stoichiometric ratio obtained in the previous step. This will give you the moles of CO2 produced in the reaction.