What will be the mass of 100 atoms of hydrogen?

Options

A. 100g
B. `1.66xx10^(-22) g`
C. `6.023xx10^23 g`
D. `100xx6.023xx10^23 g`

Explanation

To find the mass of 100 atoms of hydrogen, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the mass of one mole of hydrogen atoms**:
- One mole of hydrogen atoms (1H) has a mass of approximately 1 gram.

2. **Use Avogadro's number**:
- Avogadro's number (NA) is \(6.022 \times 10^{23}\) atoms/mole. This means that one mole contains \(6.022 \times 10^{23}\) atoms.

3. **Calculate the mass of one hydrogen atom**:
- The mass of one hydrogen atom can be calculated as:
\[ \text{Mass of 1 atom} = \frac{1 \text{ gram}}{6.022 \times 10^{23}} \text{ atoms} \]
- This gives us:
\[ \text{Mass of 1 atom} \approx 1.66 \times 10^{-24} \text{ grams} \]

4. **Calculate the mass of 100 hydrogen atoms**:
- To find the mass of 100 hydrogen atoms, we multiply the mass of one hydrogen atom by 100:
\[ \text{Mass of 100 atoms} = 100 \times \left(\frac{1 \text{ gram}}{6.022 \times 10^{23}}\right) \]
- This simplifies to:
\[ \text{Mass of 100 atoms} = \frac{100}{6.022 \times 10^{23}} \text{ grams} \]

5. **Perform the calculation**:
- Now, calculate:
\[ \frac{100}{6.022 \times 10^{23}} \approx 1.66 \times 10^{-22} \text{ grams} \]

### Final Answer:
The mass of 100 atoms of hydrogen is approximately \(1.66 \times 10^{-22}\) grams.

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