Longer the reaction life time, faster is the reaction. T or F

Answer

To determine whether the statement "Longer the reaction lifetime, faster is the reaction" is true or false, we can analyze the relationship between reaction lifetime and reaction rate.

### Step-by-Step Solution:

1. **Understanding Reaction Rate**:
- The rate of a chemical reaction is defined as the change in concentration of a reactant or product over time. Mathematically, it can be expressed as:
\[ \text{Rate} = -\frac{d[A]}{dt} \]
- Here, \([A]\) represents the concentration of the reactant A, and \(t\) is time.

2. **Relation Between Rate and Time**:
- From the equation, we can see that the rate of reaction is inversely proportional to the time taken for the reaction to occur. This means:
\[ \text{Rate} \propto \frac{1}{\text{Time}} \]
- Therefore, if the time taken for the reaction (lifetime) is longer, the rate of the reaction will be lower.

3. **Analyzing the Statement**:
- The statement claims that "longer the reaction lifetime, faster is the reaction."
- Based on our understanding, if the reaction lifetime is longer, the rate of the reaction is slower, which contradicts the statement.

4. **Conclusion**:
- Since a longer reaction lifetime corresponds to a slower reaction rate, we conclude that the statement is false.

### Final Answer:
The statement "Longer the reaction lifetime, faster is the reaction" is **False**.