Vitamin C is known to contain 7.74×`10^24` Oxygen atoms. Calculate the number of moles of Oxygen atoms.

Explanation

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

### Step 1: Identify the given values
- Number of oxygen atoms = \( 7.74 \times 10^{24} \)
- Avogadro's number (\( N_A \)) = \( 6.02 \times 10^{23} \) atoms/mole

### Step 2: Use the formula to calculate moles
The number of moles (\( n \)) can be calculated using the formula:
\[ n = \frac{\text{Number of atoms}}{N_A} \]

### Step 3: Substitute the values into the formula
Substituting the given values into the formula:
\[ n = \frac{7.74 \times 10^{24}}{6.02 \times 10^{23}} \]

### Step 4: Perform the division
To simplify the calculation, we can express it as:
\[ n = \frac{7.74}{6.02} \times \frac{10^{24}}{10^{23}} = \frac{7.74}{6.02} \times 10^{1} \]
Calculating \( \frac{7.74}{6.02} \):
\[ \frac{7.74}{6.02} \approx 1.287 \]
Now, multiplying by \( 10^{1} \):
\[ n \approx 1.287 \times 10 = 12.87 \text{ moles} \]

### Step 5: Conclusion
The number of moles of oxygen atoms in \( 7.74 \times 10^{24} \) oxygen atoms is approximately \( 12.87 \) moles.

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