The ratio of number of `sigma` -bond to `pi-` bond in `N_(2)` and `CO_(2)` molecules are

Options

A. 2.0,2.0
B. `2,1/2`
C. `1/2,1/2`
D. `1/2,1`

Answer

To solve the problem of determining the ratio of the number of sigma (σ) bonds to pi (π) bonds in the molecules N₂ (nitrogen gas) and CO₂ (carbon dioxide), we can follow these steps:

### Step 1: Analyze the bonding in N₂
- N₂ has a triple bond between the two nitrogen atoms.
- A triple bond consists of:
- 1 sigma (σ) bond
- 2 pi (π) bonds
- Therefore, in N₂, the number of σ bonds = 1 and the number of π bonds = 2.

### Step 2: Calculate the ratio for N₂
- The ratio of σ bonds to π bonds in N₂ is:
\[ \text{Ratio} = \frac{\text{Number of σ bonds}}{\text{Number of π bonds}} = \frac{1}{2} \]

### Step 3: Analyze the bonding in CO₂
- CO₂ has a double bond between the carbon atom and each of the two oxygen atoms.
- Each double bond consists of:
- 1 sigma (σ) bond
- 1 pi (π) bond
- Since CO₂ has two double bonds (one with each oxygen), we can calculate:
- Total σ bonds = 2 (one for each double bond)
- Total π bonds = 2 (one for each double bond)

### Step 4: Calculate the ratio for CO₂
- The ratio of σ bonds to π bonds in CO₂ is:
\[ \text{Ratio} = \frac{\text{Number of σ bonds}}{\text{Number of π bonds}} = \frac{2}{2} = 1 \]

### Step 5: Summarize the results
- For N₂, the ratio of σ to π bonds is \( \frac{1}{2} \).
- For CO₂, the ratio of σ to π bonds is \( 1 \).

### Final Answer
- The ratios of σ to π bonds in N₂ and CO₂ are \( \frac{1}{2} \) and \( 1 \), respectively.