A mixture of two gases CO and ` N_2` are present in a container in 2 : 1 volume ratio . The vapour density of mixture is : [Atomic mass , C=12, N=14, O=16]

Explanation

To find the vapor density of a mixture of gases CO and N₂ in a 2:1 volume ratio, we can follow these steps:

### Step 1: Understand the Composition of the Mixture
We have two gases:
- Carbon monoxide (CO)
- Nitrogen (N₂)

The volume ratio of CO to N₂ is given as 2:1.

### Step 2: Calculate the Molecular Mass of Each Gas
- The molecular mass of CO (Carbon monoxide) is calculated as:
\[ \text{Molecular mass of CO} = \text{Atomic mass of C} + \text{Atomic mass of O} = 12 + 16 = 28 \, \text{g/mol} \]

- The molecular mass of N₂ (Nitrogen gas) is calculated as:
\[ \text{Molecular mass of N₂} = 2 \times \text{Atomic mass of N} = 2 \times 14 = 28 \, \text{g/mol} \]

### Step 3: Calculate the Average Molecular Mass of the Mixture
Using the volume ratio, we can calculate the average molecular mass of the mixture:
- The total volume can be considered as 3 parts (2 parts CO and 1 part N₂).
- The contribution of CO to the average molecular mass is:
\[ \text{Contribution of CO} = \frac{2}{3} \times 28 = \frac{56}{3} \]

- The contribution of N₂ to the average molecular mass is:
\[ \text{Contribution of N₂} = \frac{1}{3} \times 28 = \frac{28}{3} \]

- Now, we can find the average molecular mass of the mixture:
\[ \text{Average molecular mass} = \frac{56}{3} + \frac{28}{3} = \frac{84}{3} = 28 \, \text{g/mol} \]

### Step 4: Calculate the Vapor Density
The vapor density (VD) of the mixture is given by the formula:
\[ \text{Vapor Density} = \frac{\text{Average Molecular Mass}}{2} \]
Substituting the average molecular mass we calculated:
\[ \text{Vapor Density} = \frac{28}{2} = 14 \]

### Final Answer
The vapor density of the mixture is **14**.

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