The normality of a solution obtained by mixing 100 ml of 0.2 N HCl and 500 ml of 0.12 M `H_(2) SO_(4)` is -

Options

A. 0.233N
B. 0.466N
C. 0.116N
D. 2.33 N

Answer

To find the normality of the solution obtained by mixing 100 ml of 0.2 N HCl and 500 ml of 0.12 M H₂SO₄, we can follow these steps:

### Step 1: Calculate the Normality of H₂SO₄
The normality (N) of a solution can be calculated from its molarity (M) using the formula:
\[ N = n \times M \]
where \( n \) is the number of replaceable H⁺ ions (the acidic strength).

For H₂SO₄, it can donate 2 H⁺ ions, so:
- \( n = 2 \)
- \( M = 0.12 \, \text{M} \)

Calculating the normality:
\[ N_{H_2SO_4} = 2 \times 0.12 = 0.24 \, \text{N} \]

### Step 2: Calculate Milliequivalents of HCl
Milliequivalents (meq) can be calculated using the formula:
\[ \text{Milliequivalents} = \text{Normality} \times \text{Volume (ml)} \]

For HCl:
- Normality \( = 0.2 \, \text{N} \)
- Volume \( = 100 \, \text{ml} \)

Calculating the milliequivalents:
\[ \text{meq}_{HCl} = 0.2 \times 100 = 20 \, \text{meq} \]

### Step 3: Calculate Milliequivalents of H₂SO₄
Using the same formula for H₂SO₄:
- Normality \( = 0.24 \, \text{N} \)
- Volume \( = 500 \, \text{ml} \)

Calculating the milliequivalents:
\[ \text{meq}_{H_2SO_4} = 0.24 \times 500 = 120 \, \text{meq} \]

### Step 4: Calculate Total Milliequivalents
Now, we can find the total milliequivalents by adding the milliequivalents of both acids:
\[ \text{Total meq} = \text{meq}_{HCl} + \text{meq}_{H_2SO_4} = 20 + 120 = 140 \, \text{meq} \]

### Step 5: Calculate Total Volume of the Solution
The total volume of the solution is the sum of the volumes of the two solutions:
\[ \text{Total Volume} = 100 \, \text{ml} + 500 \, \text{ml} = 600 \, \text{ml} \]

### Step 6: Calculate Normality of the Mixed Solution
Finally, we can calculate the normality of the mixed solution using the formula:
\[ N = \frac{\text{Total meq}}{\text{Total Volume (ml)}} \]

Calculating the normality:
\[ N = \frac{140}{600} = 0.233 \, \text{N} \]

### Final Answer
The normality of the solution obtained by mixing the two acids is approximately **0.233 N**.

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