Question

An element with mass 570grams decays by 26.9 per minute. How much of the element is remaining after 14 minutes, to the nearest 10th of a gram?

Answer 1

Explanation:

This is a radioactive decay problem. The amount of the element remaining after a given time can be modeled by the equation:

A = A0 e^(-rt)

where A is the amount remaining, A0 is the initial amount, r is the decay rate, and t is time.

In this case, we are given A0 = 570 g and r = 26.9 per minute. We want to find A after 14 minutes. Plugging in the values, we get:

A = 570 e^(-26.9 * 14)

Using a calculator, we get:

A ≈ 50.7 g

So, to the nearest 10th of a gram, there is about 50.7 grams of the element remaining after 14 minutes.