Formula Used:
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Definition: This is the instant of time at which maximum concentration of intermediate is achieved in a first order reaction followed by a zero order reaction.
Purpose: It helps chemical engineers and researchers determine the optimal time when the intermediate product concentration peaks in consecutive reactions.
The calculator uses the formula:
Where:
Explanation: The formula calculates the time when the derivative of intermediate concentration with respect to time equals zero.
Details: Knowing this time helps in optimizing reaction conditions, designing reactors, and maximizing yield of desired intermediates.
Tips: Enter the rate constants and initial concentration. All values must be positive numbers.
Q1: What does this time represent?
A: It's the exact moment when the intermediate concentration reaches its peak value in the reaction sequence.
Q2: What units should I use?
A: Use consistent units: seconds for time, 1/s for first order rate constant, and mol/(m³·s) for zero order rate constant.
Q3: Can this be used for other reaction orders?
A: No, this specific formula applies only for first order followed by zero order consecutive reactions.
Q4: What if my intermediate concentration doesn't peak?
A: This formula assumes the intermediate concentration does reach a maximum. If it doesn't, the calculation won't be valid.
Q5: How accurate is this calculation?
A: It's mathematically exact for ideal conditions, but real-world factors like mixing and temperature variations may affect actual results.