The molar mass of carbon dioxide (CO2) is 44 g/mol. What is the mass of 6 moles of carbon dioxide? The molar mass of carbon dioxide (CO2) is 44 g/mol. What is the mass of 6 moles of carbon dioxide?
The Correct Answer and Explanation is:
Correct Answer:
The mass of 6 moles of carbon dioxide (CO₂) is: Mass=Number of moles×Molar mass=6 mol×44 g/mol=264 grams\text{Mass} = \text{Number of moles} \times \text{Molar mass} = 6 \, \text{mol} \times 44 \, \text{g/mol} = \boxed{264 \, \text{grams}}
Explanation:
To determine the mass of a substance when given the number of moles and the molar mass, you use the following formula: Mass=Moles×Molar mass\text{Mass} = \text{Moles} \times \text{Molar mass}
In this case, we are dealing with carbon dioxide (CO₂). The molar mass of carbon dioxide is calculated by adding the atomic masses of its constituent atoms. CO₂ consists of one carbon atom and two oxygen atoms. The atomic mass of carbon (C) is approximately 12 g/mol, and the atomic mass of oxygen (O) is about 16 g/mol. Therefore: Molar mass of CO₂=12+(2×16)=12+32=44 g/mol\text{Molar mass of CO₂} = 12 + (2 \times 16) = 12 + 32 = 44 \, \text{g/mol}
This means that one mole of CO₂ weighs 44 grams. When you have more than one mole, such as 6 moles, you simply multiply: 6 mol×44 g/mol=264 g6 \, \text{mol} \times 44 \, \text{g/mol} = 264 \, \text{g}
This is a straightforward application of the mole concept in chemistry, which bridges the microscopic world of atoms and molecules with the macroscopic quantities we can measure in the laboratory. The mole allows chemists to count particles by weighing them.
Understanding this concept is essential for many areas of chemistry, such as stoichiometry, chemical reactions, and solution preparation. For example, knowing the mass of 6 moles of CO₂ is useful in calculating how much carbon dioxide is produced or consumed in a chemical reaction, or in analyzing emissions in environmental science.
Therefore, the mass of 6 moles of carbon dioxide is 264 grams.
