Question

Element X decays radioactively with a half life of 13 minutes. If there are 560 grams

Answer 1

The time taken for the element X to decay from 560 grams to 150 grams is 24.7 mins

How to determine the number of half-lives

• Original amount (N₀) = 560 g
• Amount remaining (N) = 150 g
• Number of half-lives (n) =?

2ⁿ = N₀ / N

2ⁿ = 560 / 150

2ⁿ = 3.73

Take the log of both side

Log 2ⁿ = Log 3.73

nLog 2 = Log 3.73

Divide both side by Log 2

n = Log 3.73 / Log 2

n = 1.9

How to determine the time

• Number of half-lives (n) = 1.9
• Half-life (t½) = 13 mins

• Time (t) =?

t = n × t½

t = 1.9 × 13

t = 24.7 mins

Learn more about half life:

brainly.com/question/26374513