Question

A pharmacist must calculate the shelf life for an antibiotic. The antibiotic is stored as a...

A pharmacist must calculate the shelf life for an antibiotic. The antibiotic is stored as a solid and a fresh solution must be prepared for the patient. The antibiotic is unstable in solution and decomposes according to the following data:

Time (days) [Antibiotic] (mol/L)
0 1.24 x 10-2
10. 0.92 x 10-2
20. 0.68 x 10-2
30. 0.50 x 10-2
40. 0.37 x 10-2



This is a first order process.

Question 1

Calculate the half-life for the antibiotic. The units should be in days and should be calculated to three significant figures.

23.1 days

You are correct.
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Question 2

If you start with a 1.0 M solution, how long would it take for 37 % of the antibiotic to decompose?

The answer should be in days and should be calculated to three significant figures.

I'm stuck on question two.

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