Question

An element has half life of about 20 days. How much of 3000 gram sample is left after 100 days?

Answer 1

t=100

p=3000

t 1/2 = 20

Try inserting the numbers in the half-life formula.

Answer 2

93.75 gm.

Explanation:

We have been given that an element has half life of about 20 days. We are asked to find the amount of 3000 gm sample left after 100 days.

We will use half-life formula to solve our given problem.

`A=a\cdot ((1)/(2))^{(t)/(h)}`, where,

A = Amount left after t units of time,

t = Time,

a = Initial amount,

h = Half-life.

Upon substituting our given values in above formula, we will get:

`A=3000\cdot ((1)/(2))^{(100)/(20)}`

`A=3000\cdot (0.5)^(5)`

`A=3000\cdot 0.03125`

`A=93.75`

Therefore, 93.75 gm of sample is left after 100 days.