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STATEMENT-1 : The equivalent mass of Moh...

STATEMENT-1 : The equivalent mass of Mohr's salt is `(M)/(4)` [If M is molecular mass of Mohr's salt]
and
STATEMENT-2: The normality of Mohr's salt is higher than molarity for same amount and volume at constant temperature.

A

Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-7

B

Statement-1 is True, Statement-2 is True, Statement-2 is NOT a correct explanation for Statement-7

C

Statement-1 is True, Statement-2 is False

D

Statement-1 is False, Statement-2 is True

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to analyze both statements regarding Mohr's salt and determine their validity. ### Step 1: Understanding Mohr's Salt Mohr's salt is represented as \( \text{(NH}_4)_2\text{SO}_4 \cdot \text{FeSO}_4 \cdot 6\text{H}_2\text{O} \). It contains ammonium ions and ferrous ions. ### Step 2: Finding the Equivalent Mass The equivalent mass of a compound is calculated using the formula: \[ \text{Equivalent mass} = \frac{\text{Molecular mass}}{n \text{ factor}} \] Where \( n \text{ factor} \) is the total change in oxidation state per formula unit of the compound. ### Step 3: Determining the Oxidation States 1. The oxidation state of ammonium \( \text{NH}_4^+ \) is +1. Since there are 2 ammonium ions: \[ \text{Total from ammonium} = 2 \times (+1) = +2 \] 2. The oxidation state of iron in \( \text{FeSO}_4 \) is +2. ### Step 4: Total Oxidation State Adding these together gives: \[ \text{Total oxidation state} = +2 (\text{from NH}_4) + +2 (\text{from Fe}) = +4 \] Thus, the \( n \text{ factor} \) for Mohr's salt is 4. ### Step 5: Calculating Equivalent Mass Now, substituting into the equivalent mass formula: \[ \text{Equivalent mass} = \frac{M}{4} \] This confirms that **Statement 1** is true. ### Step 6: Understanding Normality and Molarity - **Molarity (M)** is defined as: \[ \text{Molarity} = \frac{\text{Number of moles of solute}}{\text{Volume of solution in liters}} \] - **Normality (N)** is defined as: \[ \text{Normality} = \text{Molarity} \times n \text{ factor} \] ### Step 7: Comparing Normality and Molarity For Mohr's salt: \[ \text{Normality} = \text{Molarity} \times 4 \] This means that the normality of Mohr's salt is indeed higher than its molarity. ### Conclusion Both statements are true: - **Statement 1**: The equivalent mass of Mohr's salt is \( \frac{M}{4} \) (True). - **Statement 2**: The normality of Mohr's salt is higher than the molarity (True). However, **Statement 2** does not explain **Statement 1**; they are independently true. ### Final Answer Both statements are true, but Statement 2 is not a correct explanation for Statement 1. ---
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