please answer the following: Biacetyl, the flavoring that makes margarine taste

Question

please answer the following:

Biacetyl, the flavoring that makes margarine taste "just like butter," is extremely stable at room temperature, but at 200°C it undergoes a order breakdown with a half-life of 9.0 min. An industrial enhancing process requires that a butter-flavored food be heated briefly at 2 C. How long can the food be heated at this temperature and retain 87% of its buttery flavor? 2.578 Your response differs from the correct answer by more than 10%. Double check your calculations. min

Explanation / Answer

For first order reaction: ln(C/Co) = -kt

where C is concentration at time t, Co is intitial concentration and k is rate constant


Rate constant k = ln(2)/half life

= ln(2)/9.0 = 0.077016 min-1


C/Co x 100% = 87% => C/Co = 0.87

ln(0.87) = -0.077016 x t


Time t = 1.81 min = 1.8 min

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