Question

Math the correct amount for an isotope that has a half life of 25 days. Start with 1,000 grams, find the amount after 100 days. Start with 400 grams, find the amount after 75 days. Start with 300 grams, find the amount after 50 days

Answer 1

Amount remaining are 62.5 g , 50 g and 75 g respectively.

Explanation:

We have an isotope that has a half life of 25 days that means after 25 days, the initial amount would reduce to its half.

If a given duration can be expressed as
`2^(n)` , then

the amount remaining =
`(initial amount)/(2^(n) )`

Start with 1,000 grams, find the amount after 100 days

Amount remaining =
`(1000)/(2^(4) )` = 62.5 gram

Start with 400 grams , find the amount after 75 days.

Amount remaining =
`(400)/(2^(3) )` = 50 grams

Start with 300 grams , find the amount after 50 days

Amount remaining =
`(300)/(2^(2) )` = 75 grams