The variation in `Lambda_m` with concentration for a strong electrolyte can be represented by the equation, `Lambda_m=Lambda_m^@ -AC^(1//2)` The value of constant A for a given solvent and temperature depends upon the type of electrolyte i.e., cations and anions produced on dissociation of electrolyte in the solution .
NaCl, `MgCl_2` and `CaSO_4` are known as

Options

A. 1-1,2-1, and 2-2 type electrolytes respectively
B. strong, weak and strong electrolytes respectively
C. electrolytes with different value of A
D. electrolytes with same molar conductivity .

Answer

To solve the question regarding the classification of NaCl, MgCl₂, and CaSO₄ based on their dissociation into cations and anions, we will analyze each electrolyte step by step.

### Step-by-Step Solution:

1. **Understanding Molar Conductivity (Λm)**:
- Molar conductivity (Λm) is a measure of the ability of an electrolyte to conduct electricity when dissolved in a solvent. It depends on the concentration of ions in the solution.

2. **Equation for Molar Conductivity**:
- The variation of molar conductivity with concentration for a strong electrolyte is given by the equation:
\[ \Lambda_m = \Lambda_m^0 - A C^{1/2} \]
- Here, Λm^0 is the molar conductivity at infinite dilution, A is a constant, and C is the concentration of the electrolyte.

3. **Identifying the Electrolytes**:
- The electrolytes given are:
- NaCl (Sodium Chloride)
- MgCl₂ (Magnesium Chloride)
- CaSO₄ (Calcium Sulfate)

4. **Dissociation of Electrolytes**:
- **NaCl**: Dissociates into Na⁺ and Cl⁻.
- **Type**: 1:1 electrolyte (1 cation and 1 anion).
- **MgCl₂**: Dissociates into Mg²⁺ and 2 Cl⁻.
- **Type**: 1:2 electrolyte (1 cation and 2 anions).
- **CaSO₄**: Dissociates into Ca²⁺ and SO₄²⁻.
- **Type**: 1:1 electrolyte (1 cation and 1 anion).

5. **Classification of Electrolytes**:
- Based on their dissociation:
- NaCl is a **1:1 electrolyte**.
- MgCl₂ is a **1:2 electrolyte**.
- CaSO₄ is a **1:1 electrolyte**.

6. **Conclusion**:
- Therefore, NaCl, MgCl₂, and CaSO₄ can be classified as:
- 1:1 (NaCl), 1:2 (MgCl₂), and 1:1 (CaSO₄) electrolytes respectively.

### Final Answer:
NaCl is a 1:1 electrolyte, MgCl₂ is a 1:2 electrolyte, and CaSO₄ is a 1:1 electrolyte.

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