Problem: The protein that you’ve just isolated is unstable; it decomposes through a first-order process with k = 0.02 min-1. How long will it take for 99% of a 1 mL sample of the protein, with initial concentration 87 μM, to decompose?A. 0.05 secB. 0.5 minC. 230 secD. 86 minE. 3.8 hr

FREE Expert Solution

We’re being asked to determine the time it would take for the 99% of the protein sample to decompose.

The integrated rate law for a first-order reaction is as follows:

ln [A]t=-kt+ln [A]0

where:

[A]t = concentration at time t 
k = rate constant
t = time
[A]0 = initial concentration

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Problem Details

The protein that you’ve just isolated is unstable; it decomposes through a first-order process with k = 0.02 min-1. How long will it take for 99% of a 1 mL sample of the protein, with initial concentration 87 μM, to decompose?

A. 0.05 sec

B. 0.5 min

C. 230 sec

D. 86 min

E. 3.8 hr

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