Answer: 12.5 grams will remain.
Explanation:
The half life time means that if we start with a quantity A of a given subtance/material, after the half time we will have half that quantity, or A/2.
We know that the half life of Sciencium-380 is 3 days.
So if we have 100 grams, after 3 days we will have 100/2 = 50 grams.
After other 3 days we will have 50/2 = 25 grams
After other 3 days we will have 25/2 = 12.5 grams.
So if we start with 100 grams, after 9 days we will have 12.5 grams.
Answer:
12.5 grams
Explanation:
Solution:-
- By definition, the half-life is the amount of time t that a substance of mass M to decay to half its its initial mass.
- We are given the mass of the Sciencium-380, M = 100 g
- The half-life for the radioactive isotope is, h = 3 days
- The amount of mass left after t = 9 days.
- We will first estimate the number of half-lives that have passed in te duration of t = 9 years.
- The number of half lives are:
n = t / h
n = 9 / 3
n = 3
- For every half life the mass is halved or mathematically the mass ( m ) of a substance remaining after " n " number of half lives can be expressed as:
m = M*0.5^n
- Plug in the given values and evaluate the mass ( m ) of the substance after n = 3 half lives.
m = 100*0.5^3
m = 12.5 grams.
Answer: We are left with 12.5 grams of Sciencium after 3 half lives have passed.
