Answer: 27.69 moles of CO2 will be produced.
Step-by-step explanation:
According to the balanced chemical equation, for every 13 moles of O2 that react, 8 moles of CO2 are produced.
Therefore, we can set up a proportion:
13 moles O2 / 8 moles CO2 = 45 moles O2 / x moles CO2
where x is the number of moles of CO2 produced.
To solve for x, we can cross-multiply and simplify:
13 moles O2 * x moles CO2 = 8 moles CO2 * 45 moles O2
x = (8 moles CO2 * 45 moles O2) / 13 moles O2
x = 27.69 moles CO2 (rounded to two decimal places)
Therefore, if 45 moles of O2 react, 27.69 moles of CO2 will be produced.