Electrolytic conductance `……………………….` with increase of temperature while metallic conductance `………………………….` with increase of temperature.

Explanation

To answer the question regarding the behavior of electrolytic and metallic conductance with temperature, we can break down the explanation into clear steps:

### Step-by-Step Solution:

1. **Understanding Electrolytic Conductance**:
- Electrolytic conductance refers to the ability of an electrolyte solution to conduct electricity. This is primarily due to the movement of ions in the solution.

2. **Effect of Temperature on Electrolytic Conductance**:
- As the temperature of an electrolyte solution increases, the kinetic energy of the ions also increases. This leads to:
- Increased ionic mobility, meaning the ions can move more freely and quickly.
- As a result, the conductance of the electrolyte increases with temperature.

3. **Conclusion for Electrolytic Conductance**:
- Therefore, we conclude that electrolytic conductance **increases** with an increase in temperature.

4. **Understanding Metallic Conductance**:
- Metallic conductance refers to the ability of metals to conduct electricity, which is primarily due to the movement of free electrons in the metal lattice.

5. **Effect of Temperature on Metallic Conductance**:
- As the temperature of a metal increases, the atoms in the metal vibrate more vigorously. This leads to:
- Increased molecular vibrations, which can obstruct the flow of free electrons.
- The increased thermal motion of the atoms reduces the mean free path of the electrons, making it harder for them to move through the metal.
- Consequently, the conductance of metals decreases with an increase in temperature.

6. **Conclusion for Metallic Conductance**:
- Therefore, we conclude that metallic conductance **decreases** with an increase in temperature.

### Final Answer:
- Electrolytic conductance **increases** with an increase in temperature, while metallic conductance **decreases** with an increase in temperature.

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