To solve the problem, we need to analyze the reaction between nitrogen gas (N₂) and hydrogen gas (H₂) to form ammonia (NH₃). The balanced chemical equation for the reaction is:
\[ \text{N}_2 + 3 \text{H}_2 \rightarrow 2 \text{NH}_3 \]
### Step 1: Identify the volumes of reactants
We are given:
- Volume of N₂ = 10 ml
- Volume of H₂ = 20 ml
### Step 2: Determine the limiting reagent
From the balanced equation, we know that 1 ml of N₂ reacts with 3 ml of H₂. Therefore, for 10 ml of N₂, the amount of H₂ required is:
\[
10 \, \text{ml N}_2 \times 3 \, \text{ml H}_2/\text{ml N}_2 = 30 \, \text{ml H}_2
\]
However, we only have 20 ml of H₂ available. This means that H₂ is the limiting reagent.
### Step 3: Calculate the amount of N₂ consumed
Since H₂ is limiting, we need to find out how much N₂ will react with the available 20 ml of H₂. According to the stoichiometry of the reaction:
\[
3 \, \text{ml H}_2 \text{ reacts with } 1 \, \text{ml N}_2
\]
So, for 20 ml of H₂:
\[
20 \, \text{ml H}_2 \times \frac{1 \, \text{ml N}_2}{3 \, \text{ml H}_2} = \frac{20}{3} \, \text{ml N}_2 \approx 6.67 \, \text{ml N}_2
\]
### Step 4: Calculate the remaining N₂
Initially, we had 10 ml of N₂. After the reaction, the amount of N₂ left is:
\[
10 \, \text{ml N}_2 - 6.67 \, \text{ml N}_2 = 3.33 \, \text{ml N}_2 \approx 3.4 \, \text{ml N}_2
\]
### Step 5: Calculate the amount of NH₃ produced
From the balanced equation, we can see that 3 ml of H₂ produces 2 ml of NH₃. Therefore, for 20 ml of H₂:
\[
20 \, \text{ml H}_2 \times \frac{2 \, \text{ml NH}_3}{3 \, \text{ml H}_2} = \frac{40}{3} \, \text{ml NH}_3 \approx 13.33 \, \text{ml NH}_3
\]
### Step 6: Calculate the total volume of the gas mixture after the reaction
After the reaction, we have:
- NH₃ produced = 13.33 ml
- Remaining N₂ = 3.33 ml
Thus, the total volume of the gas mixture after the reaction is:
\[
13.33 \, \text{ml NH}_3 + 3.33 \, \text{ml N}_2 = 16.66 \, \text{ml} \approx 16.7 \, \text{ml}
\]
### Conclusion
Now we can evaluate the statements:
- **Statement A:** 13.3 ml NH₃ is formed. **(Correct)**
- **Statement B:** 20 ml NH₃ is formed. **(Incorrect)**
- **Statement C:** 3.4 ml N₂ is left after the completion of the reaction. **(Correct)**
- **Statement D:** 16.7 ml of mixture is left after the completion of the reaction. **(Correct)**
### Final Answer
The correct statements are A, C, and D.
