## 15.27

$aR \to bP, Rate = -\frac{1}{a} \frac{d[R]}{dt} = \frac{1}{b}\frac{d[P]}{dt}$

Rohan Chaudhari- 1K
Posts: 32
Joined: Fri Sep 29, 2017 7:06 am

### 15.27

How do you calculate the time it takes for something to get to 15% of its initial concetration and 1/9th of its initial condition if you are given only its half life?

Luke Bricca 1H
Posts: 30
Joined: Fri Sep 29, 2017 7:06 am

### Re: 15.27

You can assume that the initial concentration equals 1 and the final concentration you're looking for equals 0.15 when solving the half-life equation for time.

Andres Reynoso 1J
Posts: 30
Joined: Fri Sep 29, 2017 7:06 am

### Re: 15.27

Using the given half-life, we can use the formula $k=\frac{0.693}{t_{1/2}}$ to calculate the k value. From there, we can use the formula $ln[A]_{t}=ln[A]_{0}-kt$ to calculate time. [A]t is the concentration remaining after time t.

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