Final answer:
Approximately 122.29 grams of lead-210 will remain after 100 years.
Step-by-step explanation:
To calculate how much lead-210 will remain in 100 years, we need to use the decay rate. Lead-210 has a decay rate of 3.15% per year. We can use the formula:
Remaining Mass = Initial Mass * (1 - Decay Rate)^Time
Plugging in the values, we have:
Remaining Mass = 3000 g * (1 - 0.0315)^100
Calculating this, we find that approximately 122.29 grams of lead-210 will remain after 100 years.