6) "Thallium 1-208 has a half-life of 3 .053 minutes. How long will it take for 120 g to decay to 7.50 grams?

Here's how to solve this half-life problem:**1. Understand the concept:** Half-life is the time it takes for half of a radioactive substance to decay. After one half-life, you'll have 50% remaining. After two half-lives, you'll have 25% remaining (half of 50%), and so on.**2. Determine the number of half-lives:*** Start: 120g* After 1 half-life: 60g* After 2 half-lives: 30g* After 3 half-lives: 15g* After 4 half-lives: 7.5gIt takes 4 half-lives for 120g of Thallium-208 to decay to 7.5g.**3. Calculate the total time:**One half-life is 3.053 minutes. Since it takes 4 half-lives, the total time is:4 half-lives * 3.053 minutes/half-life = 12.212 minutes**Answer:** It will take 12.212 minutes for 120g of Thallium-208 to decay to 7.5g.