Final answer:
The total combined mass of carbon dioxide and water produced from burning 46 kg of gasoline with 161 kg of oxygen is 207 kg, adhering to the law of conservation of mass.
Step-by-step explanation:
The question asks us to determine the total combined mass of carbon dioxide and water produced when gasoline is burned in the presence of oxygen. The conservation of mass, also known as the law of conservation of matter, tells us that matter is neither created nor destroyed in a chemical reaction. Therefore, the mass of the products must equal the mass of the reactants.
Given:
Mass of gasoline (C8H18) = 46 kg
Mass of O2 consumed = 161 kg
The combustion reaction of gasoline can be represented by the equation:
2 C8H18(l) + 25 O2(g) → 16 CO2(g) + 18 H2O(l)
To find the total mass of the products (carbon dioxide and water), we just add the mass of the reactants:
Mass of products = Mass of gasoline + Mass of oxygen consumed
Mass of products = 46 kg + 161 kg = 207 kg
Therefore, the total combined mass of carbon dioxide and water produced is 207 kg.