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Homework: hmwk 5.1 (10) Save Score: 0 of 1 pt 10 of 10 (2 complete) HW Score: 20

ID: 2890997 • Letter: H

Question

Homework: hmwk 5.1 (10) Save Score: 0 of 1 pt 10 of 10 (2 complete) HW Score: 20%, 2 o… 5.1.29 Question Help * en time is measured in days, the decay constant for a particular radioactive isotope is 0.14 Determine the time required for a confined sample of the isotope to fall to 85% of its original value Wh The time required for a confined sample of the isotope to fall to 85% of its original value is about days (Do not round until the final answer. Then round to the nearest hundredth as needed.)

Explanation / Answer

We have to use the following formula

Y=Y0e-kt

Falls to 85 % means only 15% left

15=100e-0.14t

0.15=e-0.14t

ln 0.15= -0.14 t

t=13.55 days