Element X is a radioactive isotope such that every 90 years, its mass decreases by half. Given that the initial mass of a sample

Question

2 years ago

12

of Element X is 30 grams, how much of the element would remain after 12 years, to the nearest whole number?

1 answer:

steposvetlana [31] · Answer 1 · 2022-06-26T11:29:51+03:00

Answer:

approximately 27 grams

Work Shown:

Half life formula

y = A*(0.5)^(x/H)

where,

A = starting amount = 30 grams

H = half life period = 90 years

x = number of years that pass by = 12

y = amount left over after x years

Let's plug the values for x, A and H into the formula to find y

y = A*(0.5)^(x/H)

y = 30*(0.5)^(12/90)

y = 27.3516746567466

y = 27 .... rounding to the nearest whole number