Vitamin C is known to contain 6.45×`10^24` Oxygen atoms. Calculate the number of moles of Oxygen atoms.

Options

A. 10.71
B. 12.47
C. 6.14
D. 7.15

Explanation

To calculate the number of moles of oxygen atoms in Vitamin C, we will use the formula that relates the number of atoms to moles, which is:

\[ \text{Number of moles} = \frac{\text{Number of atoms}}{\text{Avogadro's number}} \]

### Step 1: Identify the given values
- Number of oxygen atoms = \( 6.45 \times 10^{24} \)
- Avogadro's number = \( 6.02 \times 10^{23} \) atoms/mole

### Step 2: Substitute the values into the formula
\[ \text{Number of moles} = \frac{6.45 \times 10^{24}}{6.02 \times 10^{23}} \]

### Step 3: Simplify the expression
To simplify this, we can divide the coefficients and the powers of ten separately:
\[ \text{Number of moles} = \frac{6.45}{6.02} \times \frac{10^{24}}{10^{23}} = \frac{6.45}{6.02} \times 10^{1} \]

### Step 4: Calculate the coefficient
Calculating \( \frac{6.45}{6.02} \):
\[ \frac{6.45}{6.02} \approx 1.07 \]

### Step 5: Combine the results
Now, multiply this result by \( 10^{1} \):
\[ \text{Number of moles} \approx 1.07 \times 10 = 10.7 \]

### Step 6: Final result
Thus, the number of moles of oxygen atoms is approximately:
\[ \text{Number of moles} \approx 10.71 \]

### Conclusion
The final answer is:
\[ \text{Number of moles of oxygen atoms} \approx 10.71 \]