The number of atoms in 4.5mole of Na are?

Options

A. 27 x `10^23`
B. 25 x `10^23`
C. 22 x `10^23`
D. 23 x `10^23`

Explanation

To find the number of atoms in 4.5 moles of sodium (Na), we can follow these steps:

### Step 1: Understand the relationship between moles and atoms
We know that 1 mole of any substance contains Avogadro's number of entities (atoms, molecules, etc.). Avogadro's number is approximately \(6.02 \times 10^{23}\).

### Step 2: Calculate the number of atoms in 4.5 moles
To find the total number of atoms in 4.5 moles of sodium, we multiply the number of moles by Avogadro's number:

\[ \text{Number of atoms} = \text{Number of moles} \times \text{Avogadro's number} \]

Substituting the values:

\[ \text{Number of atoms} = 4.5 \, \text{moles} \times 6.02 \times 10^{23} \, \text{atoms/mole} \]

### Step 3: Perform the multiplication
Now, we calculate:

\[ \text{Number of atoms} = 4.5 \times 6.02 \times 10^{23} \]

Calculating \(4.5 \times 6.02\):

\[ 4.5 \times 6.02 = 27.09 \]

So, we have:

\[ \text{Number of atoms} = 27.09 \times 10^{23} \, \text{atoms} \]

### Step 4: Round the result
For simplicity, we can round \(27.09\) to \(27\), giving us:

\[ \text{Number of atoms} \approx 27 \times 10^{23} \, \text{atoms} \]

### Final Answer
Thus, the number of atoms in 4.5 moles of sodium is approximately \(27 \times 10^{23}\) atoms.

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