Mass of one atom of an element is 8.46×`10^(−24)`g. This is equal to :

Options

A. 5u
B. 0.5u
C. 1u
D. 200 u

Explanation

To find the mass of one mole of atoms based on the mass of a single 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 (also known as molar mass) can be calculated using Avogadro's number, which is approximately \(6.02 \times 10^{23}\) atoms per mole.

### Step 2: Write down the formula
The formula to calculate the mass of one mole of atoms is:
\[ \text{Mass of one mole} = \text{Number of atoms in one mole} \times \text{Mass of one atom} \]
This can be expressed as:
\[ \text{Mass of one mole} = N_A \times m \]
where \(N_A\) is Avogadro's number and \(m\) is the mass of one atom.

### Step 3: Substitute the values
Given:
- Mass of one atom, \(m = 8.46 \times 10^{-24} \, \text{g}\)
- Avogadro's number, \(N_A = 6.02 \times 10^{23} \, \text{atoms/mole}\)

Now, substituting these values into the formula:
\[ \text{Mass of one mole} = (6.02 \times 10^{23}) \times (8.46 \times 10^{-24}) \]

### Step 4: Perform the multiplication
Calculating the multiplication:
\[ \text{Mass of one mole} = 6.02 \times 8.46 \times 10^{23} \times 10^{-24} \]
Calculating \(6.02 \times 8.46\):
\[ 6.02 \times 8.46 \approx 50.8 \]
Now, combining the powers of ten:
\[ 10^{23} \times 10^{-24} = 10^{-1} \]
Thus, we have:
\[ \text{Mass of one mole} \approx 50.8 \times 10^{-1} \, \text{g} = 5.08 \, \text{g} \]

### Step 5: Round the answer
Rounding \(5.08 \, \text{g}\) gives us approximately \(5 \, \text{g}\).

### Conclusion
Thus, the mass of one mole of the element is approximately \(5 \, \text{g}\) or \(5 \, \text{u}\) (unified atomic mass).

### Final Answer
The mass of one atom of the element is equal to \(5 \, \text{g}\).

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