Calculate the number of atoms in each of the following :
52 moles of Ar.

Answer

To calculate the number of atoms in 52 moles of Argon (Ar), we can follow these steps:

### Step 1: Understand Avogadro's Number
Avogadro's number is the number of atoms, molecules, or particles in one mole of a substance. It is approximately \(6.022 \times 10^{23}\).

### Step 2: Calculate the Number of Atoms in 52 Moles
To find the total number of atoms in 52 moles of Argon, 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:

\[ \text{Number of atoms} = 52 \, \text{moles} \times 6.022 \times 10^{23} \, \text{atoms/mole} \]

### Step 3: Perform the Calculation
Now we can perform the multiplication:

\[ \text{Number of atoms} = 52 \times 6.022 \times 10^{23} \]

Calculating this gives:

\[ \text{Number of atoms} \approx 3.136 \times 10^{25} \, \text{atoms} \]

### Step 4: Express in Scientific Notation
The result can be expressed in scientific notation as:

\[ \text{Number of atoms} \approx 3.13 \times 10^{25} \, \text{atoms} \]

### Final Answer
Thus, the number of atoms in 52 moles of Argon is approximately:

\[ \boxed{3.13 \times 10^{25}} \, \text{atoms} \]

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