The number of atoms in 0.1 mol of a triatomic gas is:

Options

A. (a)`6.026xx10^(23)`
B. (b)`1.806xx10^(23)`
C. (c )`3.600xx10^(23)`
D. (d)`1.80xx10^(23)`

Explanation

To find the number of atoms in 0.1 mol of a triatomic gas, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Composition of the Gas:**
A triatomic gas consists of molecules that contain three atoms. For example, a molecule of ozone (O3) is a triatomic gas.

2. **Determine the Number of Molecules in 0.1 mol:**
To find the number of molecules in 0.1 mol of any substance, we use Avogadro's number, which is approximately \(6.022 \times 10^{23}\) molecules/mol.
\[ \text{Number of molecules} = 0.1 \, \text{mol} \times 6.022 \times 10^{23} \, \text{molecules/mol} = 6.022 \times 10^{22} \, \text{molecules} \]

3. **Calculate the Total Number of Atoms:**
Since each molecule of the triatomic gas contains 3 atoms, we multiply the number of molecules by 3 to find the total number of atoms.
\[ \text{Total number of atoms} = 6.022 \times 10^{22} \, \text{molecules} \times 3 \, \text{atoms/molecule} = 1.8066 \times 10^{23} \, \text{atoms} \]

4. **Final Answer:**
Therefore, the total number of atoms in 0.1 mol of a triatomic gas is approximately \(1.806 \times 10^{23}\) atoms.

### Summary:
The number of atoms in 0.1 mol of a triatomic gas is \(1.806 \times 10^{23}\) atoms.