Choose the correct answer among the following is
(i) Normality and molarity of HCl are same
(ii) Molality and molarity are independent of temperature
(iii) Normality of 1M `KMnO_(4)` in acidic medium is 5N.

Options

A. All are correct
B. ii only wrong
C. iii only correct
D. All are wrong

Answer

To solve the question, we need to evaluate each of the three statements regarding normality, molarity, and molality of solutions.

### Step-by-Step Solution:

1. **Evaluate Statement (i)**: "Normality and molarity of HCl are the same."
- **Explanation**: HCl dissociates in solution as follows:
\[ \text{HCl} \rightarrow \text{H}^+ + \text{Cl}^- \]
The valency factor (n) for HCl is 1 because it can donate one hydrogen ion. The relationship between normality (N) and molarity (M) is given by:
\[ N = n \times M \]
Since \( n = 1 \), we have:
\[ N = 1 \times M \implies N = M \]
Therefore, this statement is **correct**.

2. **Evaluate Statement (ii)**: "Molality and molarity are independent of temperature."
- **Explanation**:
- **Molality (m)** is defined as the number of moles of solute per kilogram of solvent. It is independent of temperature because the mass of the solvent does not change with temperature.
- **Molarity (M)** is defined as the number of moles of solute per liter of solution. Molarity is dependent on temperature because the volume of the solution can change with temperature (it generally expands when heated).
- Therefore, this statement is **incorrect**.

3. **Evaluate Statement (iii)**: "Normality of 1M KMnO4 in acidic medium is 5N."
- **Explanation**: In acidic medium, KMnO4 undergoes a reaction where the manganese ion (Mn) changes its oxidation state. The half-reaction can be represented as:
\[ \text{MnO}_4^- + 8\text{H}^+ + 5\text{e}^- \rightarrow \text{Mn}^{2+} + 4\text{H}_2\text{O} \]
Here, the valency factor (n) is 5 because 5 electrons are involved in the reaction. Using the formula:
\[ N = n \times M \]
For a 1M solution of KMnO4:
\[ N = 5 \times 1 = 5N \]
Thus, this statement is **correct**.

### Conclusion:
- The correct statements are (i) and (iii).
- Therefore, the answer is that statements (i) and (iii) are correct, while statement (ii) is incorrect.

### Final Answer:
The correct statements are (i) and (iii).

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