Question

A radioactive substance has a decay rate of 0.064 per minute. How many grams of a 150 gram sample will remain
radioactive after 45 minutes? Round the answer to the nearest tenth of a gram, and do not include the unit in your answer.

Answer 1

Answer:

8.4

Step-by-step explanation:

Answer 2

8.4 grams of a 150 grams sample will remain radioactive after 45 minutes.

Given, that a radioactive substance has a decay rate of 0.064 per minute.

We need to find how many grams of a 150 grams sample will remain

radioactive after 45 minutes.

What is the decaying formula?

The decaying formula is $y(t)=y_{o} e^{-rt}$.

Here, $y_{o} =150$, r=decay rate= 0.064 and t=45 minutes.

Now, y(30)=150×$e^{-0.064 \times 45}$

=150×0.0561=8.415 grams

The nearest tenth=8.4 grams.

Hence, 8.4 grams of a 150 grams sample will remain radioactive after 45 minutes.

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