Question

The half — life of nickel is 96 years. How much of a 30-gram sample is left after 270 years?

Answer 1

The amount of the 30 gram-sample that will remain after 270 years is 6.61 grams

How to determine the number of half-lives

We'll begin by obtaining the number of half lives that has elapsed. This can be obtained as follow:

• Half-life (t½) = 96 years
• Time (t) = 270 years
• Number of half-lives (n) =?

n = t / t½

n = 270 / 99

n = 2.8125

How to determine the amount remaining

• Original amount (N₀) = 30 grams
• Number of half-lives (n) = 2.8125
• Amount remaining (N) =?

The amount remaing can be obtained as follow:

N = N₀ / 2^n

N = 30 / 2^2.8125

N = 6.61 grams

Learn more about half life:

brainly.com/question/26374513

#SPJ1