In a particular mixing operation, the mixing index obtained after 1 minute was found out to be 0.932. Calculate the mixing rate constant at that situation.
Understand the Problem
The question is asking for the calculation of the mixing rate constant based on a given mixing index value measured after one minute.
Answer
The mixing rate constant is $0.932$.
Answer for screen readers
The mixing rate constant is $0.932$.
Steps to Solve
- Understand the formula for mixing rate constant
The mixing rate constant ($k$) can be calculated from the mixing index ($I$) using a specific relationship. For many mixing systems, the formula can be expressed as: $$ k = \frac{I}{t} $$ where $t$ is the time in minutes.
- Substitute the values into the equation
Given that the mixing index ($I$) is 0.932 and the time ($t$) is 1 minute, substitute these values into the formula: $$ k = \frac{0.932}{1} $$
- Calculate the mixing rate constant
Perform the division to find the value of $k$: $$ k = 0.932 $$
The mixing rate constant is $0.932$.
More Information
The mixing rate constant is a measure of how quickly the desired mixing occurs. A higher value indicates more efficient mixing within the specified time frame.
Tips
- Forgetting to convert the time units appropriately. Ensure the time is in minutes if needed.
- Misunderstanding the relationship between mixing index and mixing rate constant, leading to incorrect formulas being used.
AI-generated content may contain errors. Please verify critical information
