`100 mL` of ozone at `STP` was passed through `100 mL` of `10` volume `H_(2)O_(2)` solution. What is the volume strength of `H_(2)O_(2)` after attraction?

Options

A. 9.5
B. 9
C. 4.75
D. 4.5

Explanation

To solve the problem step by step, we will follow the reactions involved and calculate the volume strength of H₂O₂ after the reaction with ozone (O₃).

### Step 1: Write the Relevant Reactions
The reactions involved in the interaction between ozone and hydrogen peroxide are:
1. O₃ → O₂ + O (Ozone decomposes to oxygen and atomic oxygen)
2. H₂O₂ → H₂O + O (Hydrogen peroxide decomposes to water and atomic oxygen)
3. O + O → O₂ (Two atomic oxygens combine to form molecular oxygen)

### Step 2: Determine the Volume of Ozone
We are given that 100 mL of ozone (O₃) is passed through the solution. At STP (Standard Temperature and Pressure), 100 mL of O₃ will produce:
- 100 mL of O₂ (from reaction 1)
- 100 mL of atomic O (from reaction 1)

### Step 3: Calculate the Volume of O₂ Produced from H₂O₂
The 100 mL of atomic O produced will react with H₂O₂. Since 1 mole of H₂O₂ produces 1 mole of atomic O, we can say:
- 100 mL of O will react with H₂O₂ to produce 100 mL of O₂.

### Step 4: Determine the Contribution of H₂O₂
We know that the 10 volume H₂O₂ solution means that 1 mL of H₂O₂ can produce 10 mL of O₂. Therefore, the volume of O₂ produced from the H₂O₂ solution can be calculated as:
- Volume of O₂ produced = Volume strength × Volume of H₂O₂
- Volume of O₂ produced = 10 × 100 mL = 1000 mL of O₂

### Step 5: Calculate the Total Volume of O₂ After Reaction
The total volume of O₂ produced from the reactions is:
- From O₃: 100 mL O₂
- From H₂O₂: 1000 mL O₂
- Total O₂ = 100 mL + 1000 mL = 1100 mL

### Step 6: Calculate the Remaining Volume of O₂
Since 100 mL of O₂ was produced from the reaction with O₃ and 100 mL of atomic O was produced, the remaining volume of O₂ after the reaction is:
- Remaining O₂ = Total O₂ - O₂ consumed = 1100 mL - 100 mL = 1000 mL

### Step 7: Calculate the Volume Strength of H₂O₂
The volume strength of H₂O₂ can be calculated using the formula:
- Volume strength = Volume of O₂ produced / Volume of H₂O₂
- Volume strength = 1000 mL / 100 mL = 10

### Final Answer
The volume strength of H₂O₂ after the reaction is **10**.

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