Question

An automobile gasoline tank holds 22 kg of gasoline. When the gasoline burns, 86 kg of oxygen is consumed and carbon dioxide and water are produced. What is the total combined mass of carbon dioxide and water produced?

Answer 1

The total combined mass of carbon dioxide and water produced from the combustion of 22 kg of gasoline is 198 kg.

Step-by-step explanation:

The total combined mass of carbon dioxide and water produced can be calculated by balancing the chemical equation of the combustion of gasoline and determining the molar ratios. From the given information, when 22 kg of gasoline burns, 86 kg of oxygen is consumed. Using the balanced equation, we can calculate the molar ratio between gasoline and carbon dioxide and water as follows:

2 mol of gasoline produces 8 mol of carbon dioxide and 10 mol of water.

Therefore, the total combined mass of carbon dioxide and water produced is 8/2 * 22 kg = 88 kg of carbon dioxide and 10/2 * 22 kg = 110 kg of water. So, the total combined mass of carbon dioxide and water produced is 88 + 110 = 198 kg.

Answer 2

The law of conservation of mass states that mass is an isolated system and is neither created nor destroyed.

Applying this concept on a chemical reaction means that the total mass of reactants should be equal to the total mass of the products.

In this question, we have gasoline and oxygen as reactants and we have carbon dioxide and water as products.
Based on the law, the sum of the masses of oxygen and gasoline is equal to the sum of masses of carbon dioxide and water.
Therefore,
mass of carbon dioxide and water = 22 + 86 = 108 kg