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.