Question

With a half life of 28.8 years, how long will it take 1g of strontium-90 to decay to 250 mg

Answer 1

The time it takes for 1g of strontium-90 to decay to 250 mg is; 57.6 years

What is the half life of an element?

The formula for half life is;

A(t) = A₀ * (¹/₂)^(t/t_1/2)

Where;

A(t) is amount left after t years

A₀  the initial quantity of the substance that will undergo decay;

t_1/2 is the half-life of the decaying quantity.

We are given;

t_1/2 = 28.8 years

A₀ = 1 g

A(t) = 250 mg = 0.25 g

Thus;

0.25 = 1 *  (¹/₂)^(t/28.8)

log 0.25 = (t/28.8) log (1/2)

-0.60206 = (t/28.8) * -0.3010

t = 2 * 28.8

t = 57.6 years

Read more about half life at; brainly.com/question/11152793