Question

Will give brainilest if correct Element X decays radioactively with a half life of 15 minutes. If there are 770 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 32 grams?

Answer 1

To find the time it takes for Element X to decay to 32 grams, we can set up a proportion using the half-life of Element X. Solving this proportion gives us a time of approximately 62 minutes.

Step-by-step explanation:

To find the amount of time it takes for Element X to decay to 32 grams, we can use the concept of half-life. The half-life of Element X is given as 15 minutes. This means that after 15 minutes, half of the original amount of Element X will have decayed. We can use this information to set up a proportion to find the time it takes for the element to decay to 32 grams:

(770 grams) / (32 grams) = 2(t / 15)

Solving this equation will give us the amount of time it takes for Element X to decay to 32 grams, which is approximately 62 minutes to the nearest tenth of a minute.

Answer 2

t = 68.83 minutes

Step-by-step explanation:

68.83 minutes to decay to 32 grams

formula

ln means natural log

time = half life * ln (remaining quantity/initial quantity) ÷ -ln2