Question

Situation:

Answer 1

A function assigns the values. The half life of the substance is 6.25 days.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

Given the function for the substance as $N= N_o e^{-kt}$, therefore, the half life of the substance can be written as,

$N= N_o e^{-kt}\\\\\dfrac{N}{N_o}= e^{-kt}$

Since we need to find the half life, therefore, the ratio of the initial mass and the mass after half-life will be 1/2.

$\dfrac12= e^{-kt}\\\\\ln (0.5) = -kt$

Given the value of k is 0.1109, therefore,

$\ln (0.5) = -kt\\\\\ln (0.5) = -(0.1109)t\\\\t = 6.25$

Hence, the half life of the substance is 6.25 days.

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