The temperature coefficient of a reaction in 2 and the rate of the reaction at `25^(@)C` is ` 3 mol L^(-1) min^(-1)` Calculate the rate at `75^(@)C`.

Explanation

To solve the problem, we need to calculate the rate of a reaction at a higher temperature given the rate at a lower temperature and the temperature coefficient.

### Step-by-Step Solution:

1. **Understand the Temperature Coefficient**: The temperature coefficient (Q10) of a reaction is the factor by which the rate of reaction increases when the temperature is raised by 10°C. In this case, the temperature coefficient is given as 2, meaning the rate doubles for every 10°C increase in temperature.

2. **Determine the Temperature Increase**:
- Initial temperature (T1) = 25°C
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