Which of the following is/are incorrect for 17 g/L of `H_2O_2` solution ?

Options

A. Volume strengths is 5.6 at 273 K and 1 atm
B. Molarity of solution is 0.5 M
C. 1 mL of thios solution gives 2.8 mL `O_(2)` at 273 K and 2 atm
D. The normality of solution is 2 N

Answer

To determine which of the statements regarding a 17 g/L solution of hydrogen peroxide (H₂O₂) are incorrect, we will analyze each option step by step.

### Step 1: Calculate Molarity of the H₂O₂ Solution
1. **Given Data**:
- Mass of H₂O₂ = 17 g
- Volume of solution = 1 L
- Molecular weight of H₂O₂ = 34 g/mol

2. **Calculate Number of Moles**:
\[ \text{Number of moles} = \frac{\text{Given weight}}{\text{Molecular weight}} = \frac{17 \text{ g}}{34 \text{ g/mol}} = 0.5 \text{ moles} \]

3. **Calculate Molarity**:
\[ \text{Molarity} = \frac{\text{Number of moles}}{\text{Volume of solution in L}} = \frac{0.5 \text{ moles}}{1 \text{ L}} = 0.5 \text{ M} \]

### Step 2: Calculate Volume Strength
1. **Volume Strength Formula**:
\[ \text{Volume Strength} = 11.2 \times \text{Molarity} \]

2. **Calculate Volume Strength**:
\[ \text{Volume Strength} = 11.2 \times 0.5 = 5.6 \text{ V} \]

### Step 3: Check the Volume of Oxygen Produced
1. **At STP (Standard Temperature and Pressure)**:
- 1 mL of H₂O₂ produces 5.6 mL of O₂.

2. **At 2 Atmospheres**:
- The volume of gas produced is halved due to increased pressure.
\[ \text{Volume of O₂ at 2 atm} = \frac{5.6 \text{ mL}}{2} = 2.8 \text{ mL} \]

### Step 4: Calculate Normality of the Solution
1. **Normality Formula**:
\[ \text{Normality} = \text{Molarity} \times n \text{-factor} \]

2. **Determine n-factor for H₂O₂**:
- When H₂O₂ decomposes, it releases 2 moles of O₂. Thus, n-factor = 2.

3. **Calculate Normality**:
\[ \text{Normality} = 0.5 \text{ M} \times 2 = 1 \text{ N} \]

### Conclusion
- **Correct Statements**:
- Molarity is 0.5 M.
- Volume strength is 5.6 V.
- 1 mL of the solution produces 2.8 mL of O₂ at 2 atm.

- **Incorrect Statement**:
- The normality of the solution is 2 N (it is actually 1 N).

### Final Answer
The incorrect statement regarding the 17 g/L H₂O₂ solution is that its normality is 2 N.

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