High School

A chemist currently has 111 grams of Iridium-182. The half-life of Iridium-182 is 16 minutes. The amount of Iridium-182 that would remain 1.1 hours would be Blank 1. Calculate the answer by read surrounding text. grams. (Round your final answer to one decimal place.)

Answer :

To calculate the remaining amount of Iridium-182 after 1.1 hours, we discover that after roughly 4.1 half-lives, approximately 6.7 grams would remain.

The concept at work here is called half-life, which is a measure of how long it takes for half of a sample of a radioactive substance to decay. To calculate how much Iridium-182 will be left after 1.1 hours, we first need to convert the time period into the same unit as the half-life. So, 1.1 hours is equal to 66 minutes. We then divide this time by the half-life of Iridium (16 minutes) to find the number of half-lives that have passed, which is approximately 4.1. Then we calculate how much of the substance will remain, using the formula: Initial Amount * (1/2) ^ Number of Half-Lives. Plugging in our values, it turns out that approximately 6.7 grams of Iridium-182 would remain after 1.1 hours.

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