Question

An element with mass 730 grams decays by 28.8% per minute. How much of the element is remaining after 10 minutes, to the nearest 10th of a gram?

Answer 1

A= 24.4 grams

Explanation:

An element with mass 730 grams decays by 28.8% per minute

For exponential decay we use formula

`A= P(1-r)^t`

Where P is the initial amount of element present

A is the amount remaining

r is the decay rate

and t is the time period in minutes

P= 730 grams, r= 28.8%= 28.8/100= 0.288, t= 10 minutes

`A= 730(1-0.288)^10`

A=24.44122

Round to nearest tenth

So A= 24.4 grams