Question

7) The half-life of silicon-32 is 710 years. If 30 grams is present now, how much will be present in 200 years?

(Round your answer to three decimal places.)

Answer 1

Answer: Approximately 21.093 grams of silicon-32 will be present after 200 years.

Step-by-step explanation: The formula for the amount of substance remaining after a certain amount of time can be given by:

A = A0 (1/2)^(t/T)

where:

A0 = initial amount of substance

A = amount of substance remaining after time t

T = half-life

Plugging in the given values:

A0 = 30 grams

t = 200 years

T = 710 years

A = 30 * (1/2)^(200/710)

A ≈ 21.093 grams

Therefore, approximately 21.093 grams of silicon-32 will be present after 200 years.