What is the weight of one atom of Hydrogen in grams ?

Options

A. `6.023xx10^(-23)`
B. `1.66xx10^(-24)`
C. `6.62xx10^(-24)`
D. None of these

Explanation

To find the weight of one atom of hydrogen in grams, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the concept of a mole**:
- A mole is a unit in chemistry that represents \(6.022 \times 10^{23}\) entities (atoms, molecules, etc.). This number is known as Avogadro's number.

2. **Determine the mass of one mole of hydrogen atoms**:
- The molar mass of hydrogen (H) is approximately 1 gram per mole. This means that 1 mole of hydrogen atoms weighs 1 gram.

3. **Calculate the weight of one atom of hydrogen**:
- Since 1 mole of hydrogen contains \(6.022 \times 10^{23}\) atoms, the weight of one atom of hydrogen can be calculated by dividing the mass of one mole by Avogadro's number:
\[ \text{Weight of one atom of hydrogen} = \frac{1 \text{ gram}}{6.022 \times 10^{23} \text{ atoms}} \]

4. **Perform the calculation**:
\[ \text{Weight of one atom of hydrogen} = \frac{1}{6.022 \times 10^{23}} \approx 1.66 \times 10^{-24} \text{ grams} \]

5. **Conclusion**:
- Therefore, the weight of one atom of hydrogen is approximately \(1.66 \times 10^{-24}\) grams.

### Final Answer:
The weight of one atom of hydrogen in grams is \(1.66 \times 10^{-24}\) grams.

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