Mass of one atom of an element is 4.64×`10^(−23)`g. This is equal to :

Options

A. 26u
B. 28u
C. 0.258u
D. 2.47u

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 1: Understand the relationship between mass of one atom and mass of one mole
The mass of one mole of atoms (molar mass) can be calculated using the formula:
\[ \text{Molar Mass} = \text{mass of one atom} \times \text{Avogadro's number} \]

### Step 2: Identify the given values
- Mass of one atom = \( 4.64 \times 10^{-23} \) g
- Avogadro's number (\( N_A \)) = \( 6.02 \times 10^{23} \) atoms/mol

### Step 3: Substitute the values into the formula
Now, we can substitute the values into the formula:
\[ \text{Molar Mass} = (4.64 \times 10^{-23} \, \text{g}) \times (6.02 \times 10^{23} \, \text{atoms/mol}) \]

### Step 4: Perform the calculation
Calculating the above expression:
\[ \text{Molar Mass} = 4.64 \times 6.02 \]
\[ \text{Molar Mass} = 27.90768 \, \text{g/mol} \]

### Step 5: Round the result
Rounding the result gives us approximately:
\[ \text{Molar Mass} \approx 28 \, \text{g/mol} \]

### Step 6: Conclusion
Thus, the mass of one mole of the element is approximately 28 g/mol.

### Final Answer
The mass of one atom of the element is equal to approximately 28 g/mol.

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