how much of a radioactive kind of promethium will be left after 265 hours if the half - life is 53 hours and…

how much of a radioactive kind of promethium will be left after 265 hours if the half - life is 53 hours and you start with 15,488 grams? grams

how much of a radioactive kind of promethium will be left after 265 hours if the half - life is 53 hours and you start with 15,488 grams? grams

Answer

Answer:

484

Explanation:

Step1: Calculate number of half - lives

$n=\frac{265}{53}=5$

Step2: Use half - life formula

$A = A_0\times(\frac{1}{2})^n$, where $A_0 = 15488$ and $n = 5$. $A=15488\times(\frac{1}{2})^5$ $A = 15488\times\frac{1}{32}$ $A = 484$