Identify the correct statements `(s):`

Options

A. `wedge_(m)` increases with increase in temperature.
B. `wedge_(m)` decreases with increase in concentration.
C. Specific conductance increase with increase in concentration.
D. Specific conductance decreases with increse in temperature.

Explanation

To solve the question of identifying the correct statements regarding molar conductivity and specific conductance, let's analyze each statement step by step.

### Step-by-Step Solution:

1. **Understanding Molar Conductivity:**
- Molar conductivity (Λm) is defined as the conductance of all the ions produced by one mole of an electrolyte in a fixed volume of solution. It can be expressed mathematically as:
\[ \Lambda_m = \frac{1000 \cdot K}{C} \]
where \( K \) is the specific conductance and \( C \) is the concentration.

2. **Statement 1: Molar conductivity increases with increase in temperature.**
- As temperature increases, the mobility of ions increases due to reduced viscosity of the solvent. This leads to an increase in conductance. Therefore, this statement is **true**.

3. **Statement 2: Molar conductivity decreases with increase in concentration.**
- Molar conductivity is inversely proportional to concentration. As the concentration of ions increases, the interactions between ions also increase, which can hinder their movement. Thus, this statement is **true**.

4. **Statement 3: Specific conductance increases with increase in concentration.**
- Specific conductance (K) is the conductance of all ions present in a specific volume of solution. As concentration increases, the number of ions in the solution increases, leading to higher conductance. Therefore, this statement is **true**.

5. **Statement 4: Specific conductance decreases with increase in temperature.**
- Specific conductance increases with an increase in temperature due to the increased mobility of ions. Therefore, this statement is **false**.

### Summary of Statements:
- **Statement 1:** True
- **Statement 2:** True
- **Statement 3:** True
- **Statement 4:** False

### Final Conclusion:
The correct statements are 1, 2, and 3. Only statement 4 is incorrect.