The strength in volumes of a solution containing 30.36 g/L of `H_(2)O_(2)` is (Given volume of 1 mole of gas STP = 22.4 litre)

Options

A. 10 volume
B. 20 volume
C. 5 volume
D. None of these

Answer

To determine the strength in volumes of a solution containing 30.36 g/L of H₂O₂, we can follow these steps:

### Step 1: Calculate the Equivalent Mass of H₂O₂
The equivalent mass of a compound is calculated using the formula:
\[ \text{Equivalent Mass} = \frac{\text{Molar Mass}}{n} \]
where \( n \) is the number of moles of reactive species. For H₂O₂, it can act as a source of 2 moles of hydrogen ions (H⁺) in reactions, so \( n = 2 \).

The molar mass of H₂O₂ (Hydrogen Peroxide) is calculated as follows:
- Molar mass of H = 1 g/mol (2 H atoms)
- Molar mass of O = 16 g/mol (2 O atoms)

Thus, the molar mass of H₂O₂ is:
\[ \text{Molar Mass of H₂O₂} = (2 \times 1) + (2 \times 16) = 2 + 32 = 34 \text{ g/mol} \]

Now, the equivalent mass of H₂O₂ is:
\[ \text{Equivalent Mass} = \frac{34 \text{ g/mol}}{2} = 17 \text{ g/equiv} \]

### Step 2: Calculate the Gram Equivalent of H₂O₂ in the Solution
Given that the concentration of H₂O₂ in the solution is 30.36 g/L, we can calculate the gram equivalent:
\[ \text{Gram Equivalent} = \frac{\text{Mass of H₂O₂}}{\text{Equivalent Mass}} = \frac{30.36 \text{ g}}{17 \text{ g/equiv}} \approx 1.786 \text{ equiv} \]

### Step 3: Calculate the Normality of the Solution
Normality (N) is defined as the number of equivalents of solute per liter of solution. Since we have 1.786 equivalents in 1 L of solution:
\[ \text{Normality} = \frac{\text{Gram Equivalent}}{\text{Volume of solution in L}} = \frac{1.786 \text{ equiv}}{1 \text{ L}} = 1.786 \text{ N} \]

### Step 4: Calculate the Volume Strength of H₂O₂
The volume strength of a solution can be calculated using the formula:
\[ \text{Volume Strength} = \text{Normality} \times 5.6 \]
Substituting the normality we found:
\[ \text{Volume Strength} = 1.786 \text{ N} \times 5.6 \approx 10 \text{ volumes} \]

### Final Answer
The strength in volumes of the solution containing 30.36 g/L of H₂O₂ is **10 volumes**.

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