What is the mass of one `CO_(2)` molecules in gm?

Answer

To find the mass of one CO₂ molecule in grams, we can follow these steps:

### Step 1: Calculate the molar mass of CO₂
The molar mass of CO₂ can be calculated by adding the atomic masses of its constituent elements:
- Carbon (C) has an atomic mass of approximately 12 g/mol.
- Oxygen (O) has an atomic mass of approximately 16 g/mol.
- Since CO₂ has one carbon atom and two oxygen atoms, the calculation is:

\[ \text{Molar mass of CO₂} = 12 \, \text{g/mol} + (16 \, \text{g/mol} \times 2) = 12 + 32 = 44 \, \text{g/mol} \]

### Step 2: Use Avogadro's number to find the number of molecules in one mole
Avogadro's number (Nₐ) is approximately \(6.02 \times 10^{23}\) molecules/mol. This means that one mole of any substance contains \(6.02 \times 10^{23}\) molecules.

### Step 3: Calculate the mass of one molecule of CO₂
To find the mass of one molecule of CO₂, we divide the molar mass by Avogadro's number:

\[ \text{Mass of one CO₂ molecule} = \frac{\text{Molar mass of CO₂}}{Nₐ} = \frac{44 \, \text{g/mol}}{6.02 \times 10^{23} \, \text{molecules/mol}} \]

### Step 4: Perform the calculation
Now, we can perform the calculation:

\[ \text{Mass of one CO₂ molecule} = \frac{44}{6.02 \times 10^{23}} \approx 7.30 \times 10^{-23} \, \text{g} \]

### Final Answer
Thus, the mass of one CO₂ molecule is approximately \(7.30 \times 10^{-23}\) grams.

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