The number of gram molecules of oxygen in `6.02 xx 10^(24)` CO molecules is/are

Options

A. 10 g molecules
B. 5 g molecules
C. 1 g molecules
D. 0.5 molecules

Explanation

To solve the problem of finding the number of gram molecules of oxygen in \(6.02 \times 10^{24}\) CO molecules, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Mole Concept**:
- One mole of any substance contains \(6.02 \times 10^{23}\) entities (molecules, atoms, etc.). This is known as Avogadro's number.

2. **Determine the Number of Moles of CO**:
- Given \(6.02 \times 10^{24}\) CO molecules, we can calculate the number of moles of CO:
\[ \text{Number of moles of CO} = \frac{6.02 \times 10^{24} \text{ molecules}}{6.02 \times 10^{23} \text{ molecules/mole}} = 10 \text{ moles of CO} \]

3. **Calculate the Number of Oxygen Atoms**:
- Each molecule of CO contains one atom of oxygen. Therefore, the number of moles of oxygen atoms is the same as the number of moles of CO:
\[ \text{Number of moles of oxygen atoms} = 10 \text{ moles} \]

4. **Convert Oxygen Atoms to Oxygen Molecules**:
- Oxygen (O2) is a diatomic molecule, meaning each molecule consists of two oxygen atoms. To find the number of moles of oxygen molecules, we divide the number of moles of oxygen atoms by 2:
\[ \text{Number of moles of O}_2 = \frac{10 \text{ moles of oxygen atoms}}{2} = 5 \text{ moles of O}_2 \]

5. **Conclusion**:
- Therefore, the number of gram molecules of oxygen in \(6.02 \times 10^{24}\) CO molecules is \(5\) gram molecules.

### Final Answer:
The number of gram molecules of oxygen is **5** gram molecules.

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