Question

How many moles of H₂O are produced when 5.00 mol of benzene, C₆H₆, react according to the following equation?2C₆H₆ + 15O ₂ → 12CO₂ + 6H₂O

a) 15.0 mol
b) 30.0 mol
c) 1.67 mol
d) 2.50 mol
e) 60.0 mol

Answer 1

To find the number of moles of H₂O produced by 5.00 moles of benzene reacting, we apply stoichiometry from the balanced equation; the calculation results in 15.0 moles of H₂O, which correspond to option (a).

Step-by-step explanation:

The question asks how many moles of H₂O are produced when 5.00 mol of benzene, C₆H₆, react according to the given chemical equation. We can use stoichiometry to solve this problem:

2C₆H₆ (l) + 15O₂ (g) → 12CO₂ (g) + 6H₂O (l)

According to the balanced equation, 2 moles of C₆H₆ produce 6 moles of H₂O. Since we have 5 moles of C₆H₆, we can set up a ratio:

• (5 moles C₆H₆) / (2 moles C₆H₆) = (x moles H₂O) / (6 moles H₂O)

Cross multiplying and solving for x:

• (5 moles C₆H₆) * (6 moles H₂O) / (2 moles C₆H₆) = x moles H₂O

x = 15 moles H₂O

So, the correct answer is a) 15.0 mol.