If 50 atoms of carbon reacts with 200 molecules of oxygen, find out the correct statement(s)

Options

A. O2 is the limiting reagent
B. 50 molecules of CO2 are formed
C. 100 molecules of CO2 are formed
D. Both (1) & (2)

Answer

To solve the question, we need to analyze the reaction between carbon and oxygen and determine the limiting reagent and the amount of product formed.

### Step-by-Step Solution:

1. **Write the Chemical Equation**:
The reaction between carbon (C) and oxygen (O₂) to form carbon dioxide (CO₂) can be represented as:
\[ C + O_2 \rightarrow CO_2 \]

2. **Identify the Reactants**:
From the question, we have:
- 50 atoms of carbon (C)
- 200 molecules of oxygen (O₂)

3. **Determine the Stoichiometry**:
According to the balanced equation, 1 atom of carbon reacts with 1 molecule of oxygen to produce 1 molecule of carbon dioxide. Therefore, the stoichiometric ratio is:
\[ 1 \text{ C} : 1 \text{ O}_2 : 1 \text{ CO}_2 \]

4. **Identify the Limiting Reagent**:
- Since we have 50 atoms of carbon, we would need 50 molecules of oxygen to react completely with the carbon.
- However, we have 200 molecules of oxygen available.
- Therefore, carbon is the limiting reagent because it will be completely consumed while there will be excess oxygen left over.

5. **Calculate the Amount of Product Formed**:
Since 50 atoms of carbon are used, according to the stoichiometry of the reaction, this will produce:
\[ 50 \text{ molecules of } CO_2 \]

6. **Evaluate the Statements**:
Now we can evaluate the given statements:
- **Statement 1**: Oxygen is a limiting reagent. (False)
- **Statement 2**: 50 molecules of carbon dioxide are formed. (True)
- **Statement 3**: 100 molecules of carbon dioxide are formed. (False)
- **Statement 4**: Both 1 and 2. (False)

### Conclusion:
The correct statement is that **50 molecules of carbon dioxide are formed**.