Which of the following statements is`//`are correct about `CH_(2)=C Cl_(2)`

Options

A. Both carbons are in `+2` oxidation state.
B. Both carbons are in `-2` oxidation state
C. The first carbons has `+2` and the second has `-2` oxidation states.
D. The average oxidation number of carbon is zero.

Explanation

To determine which statements are correct about the compound \( CH_2=CCl_2 \), we need to analyze the oxidation states of the carbon atoms in the compound. Here’s a step-by-step solution:

### Step 1: Draw the structure of \( CH_2=CCl_2 \)
The compound consists of two carbon atoms connected by a double bond. The first carbon (C1) is bonded to two hydrogen atoms, and the second carbon (C2) is bonded to two chlorine atoms.

### Step 2: Assign oxidation states to the carbon atoms
1. **For the first carbon (C1) in \( CH_2 \)**:
- Let the oxidation state of C1 be \( x \).
- The two hydrogen atoms contribute \( +2 \) (since each H has an oxidation state of +1).
- The overall charge of the molecule is zero.
- Therefore, we can set up the equation:
\[ x + 2(1) = 0 \]
Solving for \( x \):
\[ x + 2 = 0 \implies x = -2 \]
- So, the oxidation state of C1 is \( -2 \).

2. **For the second carbon (C2) in \( CCl_2 \)**:
- Let the oxidation state of C2 be \( y \).
- The two chlorine atoms contribute \( -2 \) (since each Cl has an oxidation state of -1).
- Again, the overall charge is zero, so:
\[ y + 2(-1) = 0 \]
Solving for \( y \):
\[ y - 2 = 0 \implies y = +2 \]
- So, the oxidation state of C2 is \( +2 \).

### Step 3: Calculate the average oxidation state of carbon
To find the average oxidation state of carbon in the compound:
\[ \text{Average oxidation state} = \frac{\text{Oxidation state of C1} + \text{Oxidation state of C2}}{2} \]
Substituting the values we found:
\[ \text{Average oxidation state} = \frac{-2 + 2}{2} = \frac{0}{2} = 0 \]

### Conclusion
- The oxidation state of C1 is \( -2 \) and that of C2 is \( +2 \).
- The average oxidation state of carbon in \( CH_2=CCl_2 \) is \( 0 \).

### Correct Statements
Based on our analysis:
- The statement that the average oxidation number of carbon is zero is correct.
- The statement regarding the oxidation states of the individual carbon atoms can also be confirmed as correct.