How many atoms are there in 5 moles of silver `(N_(A)=6xx10^(23))`

Answer

To find the number of atoms in 5 moles of silver, we can follow these steps:

### Step 1: Understand Avogadro's Number
Avogadro's number (\(N_A\)) is the number of particles (atoms, molecules, etc.) in one mole of a substance. It is approximately \(6 \times 10^{23}\).

### Step 2: Identify the Moles of Silver
We are given that we have 5 moles of silver.

### Step 3: Calculate the Number of Atoms
To find the total number of atoms in 5 moles of silver, we use the formula:
\[ \text{Number of atoms} = \text{Number of moles} \times N_A \]
Substituting the values we have:
\[ \text{Number of atoms} = 5 \, \text{moles} \times 6 \times 10^{23} \, \text{atoms/mole} \]

### Step 4: Perform the Multiplication
Now, we calculate:
\[ 5 \times 6 = 30 \]
Thus, we have:
\[ \text{Number of atoms} = 30 \times 10^{23} \, \text{atoms} \]

### Step 5: Express in Standard Scientific Notation
We can express \(30 \times 10^{23}\) in standard scientific notation:
\[ 30 \times 10^{23} = 3 \times 10^{24} \, \text{atoms} \]

### Final Answer
Therefore, the total number of atoms in 5 moles of silver is:
\[ \text{Number of atoms} = 3 \times 10^{24} \, \text{atoms} \]

---