1L of `CO_(2)` is passed over hot coke . then volume after complete reaction is ? when the vol of reaction mix becomes 1.4L

Options

A. `0.6 L CO_(2)`
B. `0.8 L CO_(2)`
C. `0.6 L CO_(2)and 0.8 L CO`
D. `2 L`

Answer

To solve the problem step by step, let's break down the reaction and calculate the volumes involved.

### Step 1: Write the Reaction
The reaction between carbon dioxide (CO₂) and coke (carbon, C) can be represented as follows:
\[ \text{CO}_2 + \text{C} \rightarrow 2 \text{CO} \]

### Step 2: Identify Initial Conditions
We are given that 1 liter of carbon dioxide (CO₂) is passed over hot coke. Therefore, the initial volume of CO₂ is:
\[ V_{\text{CO}_2, \text{initial}} = 1 \text{ L} \]

### Step 3: Define Variables
Let \( x \) be the volume of CO₂ that reacts. According to the stoichiometry of the reaction:
- For every 1 liter of CO₂ that reacts, 2 liters of CO (carbon monoxide) are produced.

Thus, if \( x \) liters of CO₂ react, the volume of CO produced will be:
\[ V_{\text{CO}} = 2x \]

### Step 4: Calculate Remaining Volume of CO₂
After the reaction, the remaining volume of CO₂ will be:
\[ V_{\text{CO}_2, \text{remaining}} = V_{\text{CO}_2, \text{initial}} - x = 1 - x \]

### Step 5: Total Volume After Reaction
The total volume of the reaction mixture after the reaction is given as 1.4 liters. Therefore, we can express the total volume as:
\[ V_{\text{total}} = V_{\text{CO}_2, \text{remaining}} + V_{\text{CO}} \]
Substituting the expressions we have:
\[ 1.4 = (1 - x) + 2x \]

### Step 6: Solve for \( x \)
Now, we can simplify and solve for \( x \):
\[ 1.4 = 1 - x + 2x \]
\[ 1.4 = 1 + x \]
\[ x = 1.4 - 1 = 0.4 \text{ L} \]

### Step 7: Calculate Remaining Volume of CO₂
Now that we have \( x \), we can find the remaining volume of CO₂:
\[ V_{\text{CO}_2, \text{remaining}} = 1 - x = 1 - 0.4 = 0.6 \text{ L} \]

### Step 8: Calculate Volume of CO Produced
Next, we calculate the volume of CO produced:
\[ V_{\text{CO}} = 2x = 2 \times 0.4 = 0.8 \text{ L} \]

### Step 9: Final Volumes
After the complete reaction, the volumes are:
- Volume of CO₂ remaining: 0.6 L
- Volume of CO produced: 0.8 L

### Conclusion
The total volume after the complete reaction is:
- Volume of CO₂ = 0.6 L
- Volume of CO = 0.8 L

### Final Answer
The final volumes after the complete reaction are:
- 0.6 L of CO₂ and 0.8 L of CO.