Answer :

Final answer:

After 189 years, approximately 375 grams of cesium-139 would remain.

Explanation:

The decay of cesium-139 can be modeled using the concept of half-life. The half-life of cesium-139 is the time it takes for half of the original sample to decay. To find how many grams of cesium-139 would remain after 189 years, we can use the half-life of cesium-139.

Cesium-139 has a half-life of 29.7 years, which is approximately 30 years. So, after one half-life (30 years), half of the initial amount of cesium-139 would remain. If we start with 1500 g of cesium-139, after 30 years, 750 g would remain.

Now, we need to find how many half-lives have passed in 189 years. Divide the time elapsed (189 years) by the half-life (30 years): 189/30 = 6.3. Since we can't have a fraction of a half-life, we round down to 6.

Therefore, after 189 years, the number of grams of cesium-139 that would remain is half of 750 g, which is 375 g.

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