Mass of one atom of an element is 6.64×`10^(−24)`g. This is equal to :

Options

A. 4u
B. 6u
C. 0.8u
D. 0.1u

Explanation

To find the mass of one mole of the element based on the mass of one atom, we can follow these steps:

### 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:
\[ \text{Molar Mass} = \text{mass of one atom} \times \text{Avogadro's number} \]
where Avogadro's number (\(N_A\)) is approximately \(6.02 \times 10^{23}\) atoms/mole.

### Step 2: Substitute the given values into the formula
We are given:
- Mass of one atom = \(6.64 \times 10^{-24}\) g
- Avogadro's number = \(6.02 \times 10^{23}\) atoms/mole

Now we can substitute these values into the formula:
\[ \text{Molar Mass} = (6.64 \times 10^{-24} \, \text{g}) \times (6.02 \times 10^{23} \, \text{atoms/mole}) \]

### Step 3: Perform the multiplication
Calculating the product:
\[ \text{Molar Mass} = 6.64 \times 6.02 \times 10^{-24} \times 10^{23} \]
First, calculate \(6.64 \times 6.02\):
\[ 6.64 \times 6.02 \approx 39.93 \]
Now, combine the powers of ten:
\[ 10^{-24} \times 10^{23} = 10^{-1} \]
Thus, we have:
\[ \text{Molar Mass} \approx 39.93 \times 10^{-1} \, \text{g} = 3.993 \, \text{g} \]

### Step 4: Round the result
Rounding \(3.993\) g gives us approximately \(4\) g.

### Conclusion
The molar mass of the element is approximately \(4\) g/mol.

### Final Answer
The mass of one atom of the element is equal to \(4\) g/mol.

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