Question

Quick explanation please!! I have a good idea of the answer just need to make sure i’m on the right track

Answer 1

The amount of sample left after 120 years is 21.9 grams

Step-by-step explanation

Given that;

The original mass of the sample is 700g

The half life of the sample is 24 years

Time is 120 years

Follow the steps below

Step 1; Write the half-life formula

`\text{ N = N}_o((1)/(2))^{(t)/(\iota)}`

Step 2; Substitute the given data into the above formula

`\begin{gathered} \text{ N = 700 }*\text{ \lparen}(1)/(2))^{(120)/(24)} \\ \\ \text{ N = 700 }*\text{ \lparen}(1)/(2))^5 \\ \\ \text{ N = }\frac{700}{\text{ 32}} \\ \text{ N = 21.9 grams} \end{gathered}`

Therefore, the amount of sample left after 120 years is 21.9 grams