Question

A 29 gram sample of a substance that's used to preserve fruit and vegetables has a k-value of 0.1342. What is the substance's half-life in days? To the nearest tenth.

Answer 1

Here are the variables:

`n_(0)=29\text{ grams}\\ n=14.5\text{ grams}\\ k\approx.1342`

Here are the details:

`14.5=29e^(-.1342t)\\ .5=e^(-.1342t)\\ \ln(.5)=\ln(e^(-.1342))\\ \ln(.5)=-.1342t\\ ^(\ln(.5))/_(-.1342)=t\\ 5.2\approx t`

Here is your answer:

`5.2\approx t`