SOLUTION: A tumor is injected with 0.6 grams of Iodine-125, which has a decay rate of 1.15% per day. To the nearest day, how long will it take for half of the Iodine-125 to decay?

Question 1156567: A tumor is injected with 0.6 grams of Iodine-125, which has a decay rate of 1.15% per day. To the nearest day, how long will it take for half of the Iodine-125 to decay?
Answer by ikleyn(52834) (Show Source): You can put this solution on YOUR website!
.


The decay equation in this case is


    M =  = ,


where  is the original mass, M is the current mass, t is the time in days.


They want you find "t"  from the condition  M = .


It gives


    0.5 = .


Take the logarithm base 10 from both sides


    log(0.5) = t*log(0.9885).


Hence,  t =  = 59.93 = 60 days  (rounded as required).    ANSWER

Solved.

RELATED QUESTIONS
A tumor is injected with 0.3 grams of Iodine-125, which has a decay rate of 1.15% per... (answered by josgarithmetic)

A tumor is injected with 0.2 grams of Iodine-125, which has a decay rate of 1.15% per... (answered by greenestamps)

A tumor is injected with 0.3 grams of Iodine-125, which has a decay rate of 1.15% per... (answered by MathLover1)

85 grams of radioactive material will decay at a rate of 45% per day. How many grams will (answered by stanbon)

The decay rate of iodine-131 is 9.6% per day. What is its... (answered by Alan3354)

Radioactive iodine treatment is so successful at treating hyperthyroidism that it has... (answered by ankor@dixie-net.com)

Iodine-131 is a radioactive material used to treat a certain types of cancer. Iodine-131... (answered by ankor@dixie-net.com)

Solution A, which is 10% iodine, is mixed with solution B which is 18% iodine, to obtain... (answered by Kuroinu)

How long would it take 100,000 grams of radioactive iodine, which has a half-life of 60... (answered by stanbon)