PA S S A G E -I V : The molecular mass of a substance is the relative mass of its molecule as compared with the mass of a carbon-12 atom taken as 12 units. The molecular mass of a substance indicates the number of times one molecule of a substance is heavier than `1/12` of C-12 atom. It is equal to the sum of atomic masses of all the atoms present in a molecule. Depending on the number of atoms of same or different elements present in the molecule, it can be monoatomic, diatomic, triatomic, tetratomic or a polyatomic molecule.
Total number of atoms in 44 g of `CO_(2)` is :

Options

A. `6.02 xx 10^(23)`
B. `6.02 xx 10^(24)`
C. `1.806 xx 10^(24)`
D. `18.06 xx 10^(22)`

Explanation

To find the total number of atoms in 44 g of CO₂, we can follow these steps:

### Step 1: Calculate the number of moles of CO₂
The molecular mass (molar mass) of CO₂ is 44 g/mol. To find the number of moles in 44 g of CO₂, we use the formula:

\[ \text{Number of moles} = \frac{\text{mass of the substance (g)}}{\text{molar mass (g/mol)}} \]

Substituting the values:

\[ \text{Number of moles of CO₂} = \frac{44 \, \text{g}}{44 \, \text{g/mol}} = 1 \, \text{mole} \]

### Step 2: Determine the number of molecules in 1 mole of CO₂
According to Avogadro's number, 1 mole of any substance contains \(6.02 \times 10^{23}\) molecules. Therefore, the number of molecules in 1 mole of CO₂ is:

\[ \text{Number of molecules} = 1 \, \text{mole} \times 6.02 \times 10^{23} \, \text{molecules/mole} = 6.02 \times 10^{23} \, \text{molecules} \]

### Step 3: Calculate the total number of atoms in CO₂
Each molecule of CO₂ consists of 3 atoms (2 oxygen atoms and 1 carbon atom). Therefore, to find the total number of atoms in 6.02 x 10²³ molecules of CO₂, we multiply the number of molecules by the number of atoms per molecule:

\[ \text{Total number of atoms} = \text{Number of molecules} \times \text{Number of atoms per molecule} \]

Substituting the values:

\[ \text{Total number of atoms} = 6.02 \times 10^{23} \, \text{molecules} \times 3 \, \text{atoms/molecule} = 1.806 \times 10^{24} \, \text{atoms} \]

### Final Answer
The total number of atoms in 44 g of CO₂ is \(1.806 \times 10^{24}\) atoms.

---