Understanding the Reactions

* Reaction 1: Carbon + Oxygen → Carbon Monoxide (CO)

* Reaction 2: Carbon + Oxygen → Carbon Dioxide (CO₂)

Key Concepts

* Law of Conservation of Mass: In a chemical reaction, the total mass of the reactants equals the total mass of the products.

* Stoichiometry: The study of the quantitative relationships between reactants and products in chemical reactions.

Solving the Problem

1. Determine the Moles of Oxygen:

* The molar mass of oxygen (O₂) is 32 g/mol.

* Moles of oxygen = (13.6 g) / (32 g/mol) = 0.425 mol

2. Find the Moles of Carbon:

* In the formation of carbon monoxide (CO), the ratio of carbon to oxygen is 1:1.

* Therefore, 0.425 moles of carbon reacted with the oxygen.

3. Calculate the Mass of Carbon:

* The molar mass of carbon (C) is 12 g/mol.

* Mass of carbon = (0.425 mol) * (12 g/mol) = 5.1 g

4. Determine the Moles of Oxygen Needed for Carbon Dioxide:

* In the formation of carbon dioxide (CO₂), the ratio of carbon to oxygen is 1:2.

* Since we have 0.425 moles of carbon, we need twice the amount of oxygen for CO₂.

* Moles of oxygen needed for CO₂ = 0.425 mol * 2 = 0.85 mol

5. Calculate the Mass of Oxygen Needed for Carbon Dioxide:

* Mass of oxygen needed for CO₂ = (0.85 mol) * (32 g/mol) = 27.2 g

Answer:

The same mass of carbon would react with 27.2 grams of oxygen to form carbon dioxide.