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

Options

A. 1.29
B. 4.28
C. 6.42
D. None of these

Explanation

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

### Step 1: Understand the relationship between atoms and moles.
The number of moles of a substance can be calculated using the formula:
\[ \text{Number of moles} = \frac{\text{Number of atoms}}{\text{Avogadro's number}} \]

### Step 2: Identify the given values.
From the question, we know:
- Number of hydrogen atoms = \(3.87 \times 10^{24}\)
- Avogadro's number (\(N_A\)) = \(6.02 \times 10^{23}\) atoms/mole

### Step 3: Substitute the values into the formula.
Using the formula from Step 1, we substitute the values:
\[ \text{Number of moles} = \frac{3.87 \times 10^{24}}{6.02 \times 10^{23}} \]

### Step 4: Perform the calculation.
Calculating the above expression:
\[ \text{Number of moles} = \frac{3.87}{6.02} \times \frac{10^{24}}{10^{23}} = \frac{3.87}{6.02} \times 10^{1} \]
\[ \text{Number of moles} = \frac{3.87}{6.02} \times 10 = 0.643 \times 10 = 6.43 \text{ moles} \]

### Step 5: Round off the answer.
Rounding off, we find:
\[ \text{Number of moles} \approx 6.42 \text{ moles} \]

Thus, the final answer is:
\[ \text{The number of moles of hydrogen atoms in vitamin C is } 6.42 \text{ moles.} \]

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