If 5.0 moles of C_3H_8 react completely with excess O_2 according to the equation C_3H_8 + 5 O_2 ightarrow 3 CO_2 + 4 H_2O, how many moles of CO_2 are produced?

• A. 10 moles
• B. 5 moles
• C. 20 moles
• D. 15 moles

Answer: (D)

Verified step by step guidance

1. Identify the balanced chemical equation: \(\mathrm{C_3H_8 + 5\ O_2 \rightarrow 3\ CO_2 + 4\ H_2O}\).
2. Note the mole ratio between propane (\(\mathrm{C_3H_8}\)) and carbon dioxide (\(\mathrm{CO_2}\)) from the balanced equation, which is 1 mole of \(\mathrm{C_3H_8}\) produces 3 moles of \(\mathrm{CO_2}\).
3. Given that 5.0 moles of \(\mathrm{C_3H_8}\) react, use the mole ratio to find the moles of \(\mathrm{CO_2}\) produced by multiplying: \$5.0\ \text{moles}\ \mathrm{C_3H_8} \times \frac{3\ \mathrm{moles}\ \mathrm{CO_2}}{1\ \mathrm{mole}\ \mathrm{C_3H_8}}$.
4. Calculate the product of the multiplication to find the total moles of \(\mathrm{CO_2}\) produced.
5. Interpret the result as the amount of \(\mathrm{CO_2}\) generated when 5.0 moles of propane react completely with excess oxygen.