Question

A 11 gram sample of a substance that’s used to treat thyroid disorders has a k- value of 0.125

Answer 1

The substance's half-life is 5.5 days if the 11-gram sample of a substance that’s used to treat thyroid disorders has a k- the value of 0.125

What is exponential decay?

During exponential decay, a quantity falls slowly at first before rapidly decreasing. The exponential decay formula is used to calculate population decline and can also be used to calculate half-life.

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We have an exponential function:

$\rm N = N_oe^{-kt}$

Plug N = N⁰/2

$\rm N_o/2 = N_oe^{-kt}$

$\rm \dfrac{1}{2} = e^{-0.125t}$

Solving for t:

t = 5.54 ≈ 5.5 days

Thus, the substance's half-life is 5.5 days if the 11-gram sample of a substance that’s used to treat thyroid disorders has a k- the value of 0.125

Learn more about exponential decay here:

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