Vitamin C is known to contain 2.58×`10^24` hydrogen atoms. Calculate the number of moles of hydrogen atoms.

Options

A. 2.14
B. 4.28
C. 1.28
D. 3.41

Explanation

To calculate the number of moles of hydrogen atoms in Vitamin C, we can use the formula:

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

### Step-by-Step Solution:

1. **Identify the number of hydrogen atoms**:
We are given that Vitamin C contains \(2.58 \times 10^{24}\) hydrogen atoms.

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

3. **Set up the equation**:
Substitute the values into the formula for the number of moles:

\[ \text{Number of moles} = \frac{2.58 \times 10^{24}}{6.02 \times 10^{23}} \]

4. **Perform the calculation**:
To simplify the calculation, divide the coefficients and the powers of ten separately:

\[ \text{Number of moles} = \frac{2.58}{6.02} \times \frac{10^{24}}{10^{23}} = \frac{2.58}{6.02} \times 10^{1} \]

Now, calculate \(\frac{2.58}{6.02}\):

\[ \frac{2.58}{6.02} \approx 0.428 \]

Therefore:

\[ \text{Number of moles} \approx 0.428 \times 10^{1} = 4.28 \]

5. **Final answer**:
The number of moles of hydrogen atoms in Vitamin C is approximately \(4.28\) moles.