Answer:
3.91 minutes
Explanation:
Given that:
Biacetyl breakdown with a half life of 9.0 min after undergoing first-order reaction;
As we known that the half-life for first order is:
where;
k = constant
The formula can be re-written as:
Let the initial amount of butter flavor in the food be = 100%
Also, the amount of butter flavor retained at 200°C = 74%
The rate constant
To determine how long can the food be heated at this temperature and retain 74% of its buttery flavor; we use the formula:
Substituting our values; we have:
t = 3.91 minutes
∵ The time needed for the food to be heated at this temperature and retain 74% of its buttery flavor is 3.91 minutes