Four one litre flasks are separately filled with the gases `CO_2`, `F_2`, `NH_3` and He at same room temperature and pressure. The ratio of total number of atoms of these gases present in the different flasks would be

Options

A. `1 : 1 : 1 : 1`
B. `1 : 2 : 2 : 3`
C. `3 : 2 : 4 : 1`
D. `2 : 1 : 3 : 2`

Answer

To solve the problem, we need to determine the total number of atoms present in each of the gases (CO₂, F₂, NH₃, and He) in the one-liter flasks. We can do this by calculating the number of atoms in each molecule of the gases and then finding the ratio of these totals.

### Step-by-Step Solution:

1. **Identify the gases and their molecular formulas**:
- CO₂ (Carbon Dioxide)
- F₂ (Fluorine)
- NH₃ (Ammonia)
- He (Helium)

2. **Determine the number of atoms in each molecule**:
- **CO₂**:
- 1 Carbon atom + 2 Oxygen atoms = 3 atoms
- **F₂**:
- 2 Fluorine atoms = 2 atoms
- **NH₃**:
- 1 Nitrogen atom + 3 Hydrogen atoms = 4 atoms
- **He**:
- 1 Helium atom = 1 atom

3. **Calculate the total number of atoms in each flask**:
- For CO₂: 3 atoms
- For F₂: 2 atoms
- For NH₃: 4 atoms
- For He: 1 atom

4. **Write the ratio of total number of atoms**:
- The ratio of total number of atoms in CO₂ : F₂ : NH₃ : He is:
- CO₂ : F₂ : NH₃ : He = 3 : 2 : 4 : 1

5. **Final Ratio**:
- The final ratio of total number of atoms is **3 : 2 : 4 : 1**.