you have 976 grams of a radioactive kind of rhodium. how much will be left after 120 seconds if its half…
you have 976 grams of a radioactive kind of rhodium. how much will be left after 120 seconds if its half - life is 30 seconds? grams
Answer
Explanation:
Step1: Calculate the number of half - lives
The number of half - lives $n=\frac{t}{T_{1/2}}$, where $t = 120$ seconds and $T_{1/2}=30$ seconds. So $n=\frac{120}{30}=4$.
Step2: Use the radioactive decay formula
The formula for radioactive decay is $N = N_0\times(\frac{1}{2})^n$, where $N_0 = 976$ grams and $n = 4$. Then $N=976\times(\frac{1}{2})^4$.
Step3: Calculate the remaining amount
$(\frac{1}{2})^4=\frac{1}{16}$, and $N = 976\times\frac{1}{16}=61$.
Answer:
61