Mass of one atom of an element is 5.64×`10^(−23)`g. This is equal to :

Options

A. 30u
B. 32u
C. 34u
D. 0.354u

Explanation

To solve the problem, we need to find the mass of one mole of the element based on the mass of a single atom provided. Here are the steps to arrive at the solution:

### Step-by-Step Solution:

1. **Identify the mass of one atom**:
The mass of one atom of the element is given as \( 5.64 \times 10^{-23} \) grams.

2. **Use Avogadro's number**:
Avogadro's number (\( N_A \)) is \( 6.02 \times 10^{23} \) atoms/mole. This number tells us how many atoms are in one mole of a substance.

3. **Calculate the mass of one mole of atoms**:
The mass of one mole of atoms can be calculated using the formula:
\[ \text{Mass of one mole} = N_A \times \text{mass of one atom} \]
Substituting the values:
\[ \text{Mass of one mole} = (6.02 \times 10^{23} \text{ atoms/mole}) \times (5.64 \times 10^{-23} \text{ g/atom}) \]

4. **Perform the multiplication**:
\[ \text{Mass of one mole} = 6.02 \times 5.64 \times 10^{23} \times 10^{-23} \]
\[ = 6.02 \times 5.64 \text{ g} \]
\[ = 33.95 \text{ g} \]

5. **Round the result**:
The mass can be rounded to \( 34 \) g for simplicity.

6. **Conclusion**:
Therefore, the mass of one mole of the element is approximately \( 34 \) grams.

### Final Answer:
The mass of one mole of the element is \( 34 \) grams.

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