Answered: "Any explanation of this problem?"

Jason Farmer

Answered question

2021-02-01

Any explanation of this problem?

smallq9

Skilled2021-02-02Added 106 answers

oh, I have already solved:

user_27qwe

Skilled2021-12-09Added 375 answers

An exponential decay function has the form

$Q (t) = Q_{0} e^{k - t}$

$Q_{0}$ is the quantity at $t = 0$ .

The decay constant $k$ and half-life th for $Q$ are related by

$t_{h} k = \ln 2.$

Given $t_{h} = 1$ ,

$1 * k = \ln 2$

$k = \ln 2$

Given that $Q_{0} = 1000$ , the model is

$Q (t) = 100 e^{- t * \ln 2}$

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