# Problem: The half-life of Chromium-51 is 28 days. Starting with an original sample size of 12.0μg, calculate the number of days it will take for the radioactive isotope to drop to 1.50μg.

###### FREE Expert Solution

We’re being asked to determine the time it takes for 12.0 μg of Chromium–51 to decrease to 1.50 μg

Recall that radioactive/nuclear decay of isotopes follows first-order kinetics, and the integrated rate law for first-order reactions is:

where:

[N]t = concentration at time t

k = decay constant

t = time

[N]0 = initial concentration.

###### Problem Details

The half-life of Chromium-51 is 28 days. Starting with an original sample size of 12.0μg, calculate the number of days it will take for the radioactive isotope to drop to 1.50μg.

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the First Order Half Life concept. You can view video lessons to learn First Order Half Life. Or if you need more First Order Half Life practice, you can also practice First Order Half Life practice problems.

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Our tutors rated the difficulty ofThe half-life of Chromium-51 is 28 days. Starting with an or...as medium difficulty.

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Based on our data, we think this problem is relevant for Professor Gellene's class at TTU.