SOLUTION: Please show step by step. Thanks An unknown radioactive element decays into non-radioactive substances. In 980 days the radioactivity of a sample decreases by 52 percent.

Algebra.Com
Question 998642: Please show step by step. Thanks

An unknown radioactive element decays into non-radioactive substances. In 980 days the radioactivity of a sample decreases by 52 percent.
(a) What is the half-life of the element?
half-life: (days)
(b) How long will it take for a sample of 100 mg to decay to 77 mg?
time needed

Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
General model and you have starter information so that you can find the value for k. Also half-life.

The 52% decrease after 980 days,


-----------------------(and this step you will use again).

-
Information given in description is , and this "48" is because that is what remains as percent after 52% decayed.

You should be able to do the rest of the questions and steps.

---
Still wanted more steps to the solutions---

(a) Half-Life
Return to this part:
What was k? Substitute the given values in the main part of the description!


The model for decay is now .
-
The step to find any time t,

You know the needed values for finding half-life with this formula, so substitute THEM.

----the half-life.

(b) How long to decay from 100 mg to 77 mg ?
You have the formula and model to use.

RELATED QUESTIONS

An unknown radioactive element decays into non-radioactive substances. In 700 days the... (answered by josgarithmetic,greenestamps)
An unknown radioactive element decays into non-radioactive substances. In 560 days the... (answered by josgarithmetic,greenestamps)
An unknown radioactive element decays into non-radioactive substances. In 840 days the... (answered by rothauserc)
An unknown radioactive element decays into non-radioactive substances. In 820 days the... (answered by Fombitz)
Please help me with these problems. Thanks and show all work 1. A bank features a... (answered by solver91311)
If 250 mg of a radioactive element decays to 190 mg in 36hrs find the half-life of the... (answered by ikleyn)
Can someone please step me through the following question? A radioactive material... (answered by Fombitz)
Can someone please step me through the following question? A radioactive material decays (answered by stanbon)
Hi I need help on my homework. Would you kindly please show me how to solve this problem. (answered by josgarithmetic)