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sveta [45]
2 years ago
14

A compound decomposes by a first-order process. If 37 % of the compound decomposes in 60 minutes, the half-life of the compound

is ________minutes.
Chemistry
1 answer:
professor190 [17]2 years ago
6 0

Answer:

90 minutes

Explanation:

The half life of a first order reaction is;

t1/2 = ln(2) / k

To solve for t;

The integral rate expression for a first order reaction is;

ln[A] = ln[Ao] - kt

t = 60 minutes

Final Concentration = [A] = 100 - 37 = 63

Initial Concentration = [Ao] = 100

ln(63) = ln(100) - k (60)

k (60) = ln (100) - ln(63)

k = 0.4620 / 60 = 0.0077

Inserting the value of k in the half life equatin;

t1/2 = ln(2) / 0.0077 = 90 minutes

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