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Home > PC > Chapter 8 > Lesson 8.2.4 > Problem 8-129

8-129.

A 100 gram sample of a radioactive isotope is taken from a protective container. After four hours the sample decays to 85 grams. What is the half-life of the substance? Homework Help ✎

Substitute the initial amount 100 for 'a'. Substitute 85 for 'y' and 4 for 't'.

Solve for k.

Since we want to find how long it takes for half to decay, solve: 1 = 2e−0.0406t
This indicates an amount of 2 was reduced to 1.

y = aekt

85 = 100e4k

k = −0.0406

t = 17.06 hours