The number of atoms in 0.6mole of Na are?

Options

A. 2.4 x `10 ^23`
B. 3.6 x `10 ^23`
C. 1.4 x `10 ^23`
D. 4.4 x `10 ^23`

Explanation

To find the number of atoms in 0.6 moles of sodium (Na), we can follow these steps:

### Step 1: Understand Avogadro's Number
Avogadro's number states that one mole of any substance contains \(6.02 \times 10^{23}\) entities (atoms, molecules, etc.).

### Step 2: Set Up the Calculation
We need to find the number of atoms in 0.6 moles of sodium. We will use the formula:
\[ \text{Number of atoms} = \text{Number of moles} \times \text{Avogadro's number} \]

### Step 3: Plug in the Values
Substituting the values into the formula:
\[ \text{Number of atoms} = 0.6 \, \text{moles} \times 6.02 \times 10^{23} \, \text{atoms/mole} \]

### Step 4: Perform the Multiplication
Now, we calculate:
\[ 0.6 \times 6.02 = 3.612 \]
Thus, the number of atoms is:
\[ 3.612 \times 10^{23} \, \text{atoms} \]

### Step 5: Round the Result
We can round this to:
\[ \approx 3.6 \times 10^{23} \, \text{atoms} \]

### Final Answer
Therefore, the number of atoms in 0.6 moles of sodium is approximately \(3.6 \times 10^{23}\) atoms.

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