SOLUTION: At the beginning of an experiment, a scientist has 140 grams of radioactive goo. After 60 minutes, her sample has decayed to 2.1875 grams. What is the half-life of the goo in

Algebra.Com
Question 1159187: At the beginning of an experiment, a scientist has 140 grams of radioactive goo. After 60 minutes, her sample has decayed to 2.1875 grams.

What is the half-life of the goo in minutes?

Find a formula for G(t), the amount of goo remaining at time t. G(t)=

How many grams of goo will remain after 53 minutes?
Answer by ikleyn(52794)   (Show Source): You can put this solution on YOUR website!
.

Notice that   = 64 = .


It means that 60 minutes comprise 6 half-life periods.



Thus one half-life period is    = 10 minutes.


Therefore, the formula for G(t)  is  G(t) = ,  where t is in minutes from the starting moment.


To answer the last question, substitute t= 53 into the formula


    G(53) =  = 3.553604 grams.

-----------

Solved. All the questions are answered.



RELATED QUESTIONS

At the beginning of an experiment, a scientist has 324 grams of radioactive goo. After... (answered by josgarithmetic,ikleyn)
At the beginning of an experiment, a scientist has 256 grams of radioactive goo. After... (answered by josgarithmetic,rothauserc)
At the beginning of an experiment, a scientist has 244 grams of radioactive goo. After... (answered by stanbon)
At the beginning of an experiment, a scientist has 224 grams of radioactive goo. After... (answered by stanbon)
At the beginning of an experiment, a scientist has 308 grams of radioactive goo. After... (answered by stanbon)
(1)The half-life of Palladium-100 is 4 days. After 20 days a sample of Palladium-100 has... (answered by solver91311)
A scientist begins with 250 grams of a radioactive substance. After 250 minutes, the... (answered by stanbon,josgarithmetic)
A scientist begins with 250 grams of a radioactive substance. After 250 minutes, the... (answered by Boreal)
A scientist begins with 250 grams of a radioactive substance. After 250 minutes, the... (answered by ankor@dixie-net.com,greenestamps)