Calculate the molar mass of CO2 .
The correct answer and explanation is:
✅ Correct Answer:
The molar mass of CO₂ (carbon dioxide) is 44.01 g/mol.
🧪 Step-by-Step Calculation:
Carbon dioxide has the chemical formula CO₂, which means it is made of:
- 1 atom of Carbon (C)
- 2 atoms of Oxygen (O)
To calculate the molar mass, we sum the atomic masses of each element in the compound, using values from the periodic table:
- Carbon (C):
Atomic mass ≈ 12.01 g/mol - Oxygen (O):
Atomic mass ≈ 16.00 g/mol
Since there are 2 oxygen atoms, their total contribution is:
2×16.00=32.00 g/mol2 \times 16.00 = 32.00 \, \text{g/mol}
Now, add them together: Molar mass of CO₂=12.01+32.00=44.01 g/mol\text{Molar mass of CO₂} = 12.01 + 32.00 = \boxed{44.01 \, \text{g/mol}}
📘 Explanation (300 words):
The molar mass of a compound is the mass of one mole (6.022 × 10²³ particles) of that compound, expressed in grams per mole (g/mol). It is calculated by summing the atomic masses of all atoms in the molecule based on its chemical formula.
Carbon dioxide (CO₂) is a simple linear molecule made of one carbon atom and two oxygen atoms. Its formula tells us how many of each atom are in a single molecule. To find its molar mass, we look up the atomic masses of carbon and oxygen on the periodic table:
- Carbon contributes 12.01 g/mol
- Oxygen contributes 16.00 g/mol, and since there are two oxygen atoms, the total is 32.00 g/mol
Adding these gives:
12.01 + 32.00 = 44.01 g/mol
This means that one mole of CO₂ molecules weighs 44.01 grams.
Understanding molar mass is crucial in chemistry because it allows scientists to convert between mass and moles, which is necessary for balancing equations, calculating yields, and performing stoichiometry. For example, if you need to react a certain amount of CO₂ with another substance, you’d need its molar mass to figure out how many molecules (or moles) are involved.
In conclusion, the molar mass of CO₂ is 44.01 g/mol, and it is essential for quantitative chemistry calculations.