The rate of an exothermic reactions increases with increase in temperature.

Answer

To solve the question regarding the effect of temperature on the rate of exothermic reactions, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Exothermic Reactions**:
- Exothermic reactions are chemical reactions that release heat into the surroundings. This means that during the reaction, the products have lower energy than the reactants.

2. **Effect of Temperature on Reaction Rates**:
- Generally, for most chemical reactions, an increase in temperature leads to an increase in the reaction rate. This is because higher temperatures provide more energy to the reacting molecules, increasing their kinetic energy and the frequency of collisions.

3. **Specific Case of Exothermic Reactions**:
- However, for exothermic reactions, the situation is different. According to Le Chatelier's principle, if we increase the temperature of an exothermic reaction, the system will try to counteract this change by favoring the endothermic direction (the reverse reaction), which absorbs heat.

4. **Conclusion**:
- Therefore, for exothermic reactions, increasing the temperature actually decreases the rate of the forward reaction. Thus, the statement "The rate of an exothermic reaction increases with an increase in temperature" is **false**.

### Final Answer:
- The statement is **false**. The rate of an exothermic reaction decreases with an increase in temperature.

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