Question

1- please answer this problem clearly and correct, thanks! (9 points) An unknown radioactive element decays into non-radioactive substances. In 260 days the radioactivity of a sample decreases by 44 percent. (a) What is the half-life of the element? half-life

Answer 1

Step-by-step explanation:

decreasing by 44% means 56% remains . 56% is .56 in decimal

How many half lives ?

.56 = 1/2 ^n log both sides

log .56 = n log(1/2)

n = number of half lives = log.56/ log (1/2) = .8365 halflives

so 260 days is .8365 halflives

260 d / .8365 halflives = 310.8 days per half life