Vitamin C is known to contain 3.87×`10^24` Oxygen atoms. Calculate the number of moles of Oxygen atoms.

Options

A. 6.42
B. 4.15
C. 2.78
D. 1.75

Explanation

To calculate the number of moles of oxygen atoms in Vitamin C, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the given values:**
- Number of oxygen atoms = \( 3.87 \times 10^{24} \)
- Avogadro's number = \( 6.02 \times 10^{23} \) atoms/mole

2. **Use the formula to calculate moles:**
The number of moles (n) can be calculated using the formula:
\[ n = \frac{\text{Number of atoms}}{\text{Avogadro's number}} \]

3. **Substitute the values into the formula:**
\[ n = \frac{3.87 \times 10^{24}}{6.02 \times 10^{23}} \]

4. **Simplify the expression:**
We can simplify this by dividing the coefficients and the powers of ten separately:
\[ n = \frac{3.87}{6.02} \times \frac{10^{24}}{10^{23}} = \frac{3.87}{6.02} \times 10^{1} \]

5. **Calculate the division:**
\[ \frac{3.87}{6.02} \approx 0.643 \]

6. **Multiply by \( 10^{1} \):**
\[ n \approx 0.643 \times 10^{1} = 6.43 \]

7. **Final result:**
The number of moles of oxygen atoms in Vitamin C is approximately \( 6.43 \) moles.

### Final Answer:
The number of moles of oxygen atoms in Vitamin C is approximately \( 6.43 \) moles.