Vitamin C is known to contain 5.16×`10^24` Oxygen atoms. Calculate the number of moles of Oxygen atoms.

Options

A. 8.57
B. 6.85
C. 5.16
D. 4.78

Explanation

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

### Step 1: Identify the number of oxygen atoms
The problem states that Vitamin C contains \( 5.16 \times 10^{24} \) oxygen atoms.

### Step 2: Use Avogadro's number
Avogadro's number (\( N_A \)) is \( 6.02 \times 10^{23} \) atoms/mole. This is the number of atoms in one mole of a substance.

### Step 3: Calculate the number of moles
The formula to calculate the number of moles (\( n \)) is given by:
\[ n = \frac{\text{Number of atoms}}{N_A} \]
Substituting the values we have:
\[ n = \frac{5.16 \times 10^{24}}{6.02 \times 10^{23}} \]

### Step 4: Perform the calculation
Now, we can simplify the calculation:
\[ n = \frac{5.16}{6.02} \times \frac{10^{24}}{10^{23}} = \frac{5.16}{6.02} \times 10^{1} \]
Calculating \( \frac{5.16}{6.02} \):
\[ \frac{5.16}{6.02} \approx 0.857 \]
Thus,
\[ n \approx 0.857 \times 10^{1} = 8.57 \text{ moles} \]

### Conclusion
The number of moles of oxygen atoms in Vitamin C is approximately \( 8.57 \) moles.

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