Answer :
How many times has it halved?
24/2 = 12
12/2 = 6
6/2 = 3
It halved three times.
It halves once every 6 hours.
18 hours have passed.
24/2 = 12
12/2 = 6
6/2 = 3
It halved three times.
It halves once every 6 hours.
18 hours have passed.
The time required by Americium-242 to reduce to 3 grams from 24 grams has been 18 hours.
Half-life can be described as the time required by the substance to reduce to half of its initial concentration.
The half-life can be expressed as:
Final concentration = Initial concentration [tex]\rm \times\;\dfrac{1}{2}^\dfrac{time}{half-life}[/tex]
[tex]\rm 3\;=\;24\; \times \dfrac{1}{2}^\dfrac{time}{6}[/tex]
0.125 = [tex]\rm \dfrac{1}{2}^ \dfrac{t}{6}[/tex]
0.125 can be written as:
0.125 = [tex]\rm (0.5)^3[/tex]
[tex]\rm (0.5)^3\;=\;(0.5)^\dfrac{t}{6}[/tex]
Since the bases are same:
3 = [tex]\rm \dfrac{t}{6}[/tex]
t = 18 hours.
The time required by Americium-242 to reduce to 3 grams from 24 grams has been 18 hours.
For more information about the half-life refer to the link:
https://brainly.com/question/24710827