Number of volumes of Oxygen that gives 4 volumes of Ozone is

Options

A. 4
B. 6
C. 8
D. 2

Answer

To solve the problem of how many volumes of oxygen produce 4 volumes of ozone, we can follow these steps:

### Step 1: Understand the Reaction
The chemical reaction for the formation of ozone (O₃) from oxygen (O₂) can be represented as:
\[ 3 \text{O}_2 \rightarrow 2 \text{O}_3 \]

### Step 2: Determine the Volume Ratio
From the balanced equation, we see that:
- 3 volumes of O₂ produce 2 volumes of O₃.

### Step 3: Set Up a Proportion
We can set up a proportion based on the volumes:
- If 3 volumes of O₂ yield 2 volumes of O₃, then we can find out how many volumes of O₂ are needed to produce 4 volumes of O₃.

### Step 4: Calculate the Required Volume of O₂
Using the ratio from the balanced equation:
- For 2 volumes of O₃, we need 3 volumes of O₂.
- Therefore, for 4 volumes of O₃, we can set up the following proportion:
\[ \frac{3 \text{ volumes of } O_2}{2 \text{ volumes of } O_3} = \frac{x \text{ volumes of } O_2}{4 \text{ volumes of } O_3} \]

### Step 5: Solve for x
Cross-multiplying gives:
\[ 3 \times 4 = 2 \times x \]
\[ 12 = 2x \]
Dividing both sides by 2:
\[ x = 6 \]

### Conclusion
Thus, the number of volumes of oxygen that gives 4 volumes of ozone is **6 volumes**.

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