half life: as a nuclear physicist you purchase 1250 grams of cobalt-60 to conduct...

[snowny33]

as a nuclear physicist you purchase 1250 grams of cobalt-60 to conduct a series of experiments(cobalt-60 has a half-life of 5.3 years)develope a model equation which represents the quality remaining after t.how much cobalt-60 will remain after 15 years?how long will it take for your cobalt to reach 30% of the original quanity?

 

[mmm4444bot]

as a nuclear physicist you purchase 1250 grams of cobalt-60 to conduct a series of experiments(cobalt-60 has a half-life of 5.3 years)develope a model equation which represents the quality remaining after t.how much cobalt-60 will remain after 15 years?how long will it take for your cobalt to reach 30% of the original quanity?

Please show us what you've tried or thought about so far.

For example, what model have you learned for exponential decay? :cool:

 

[snowny33]

as a nuclear physicist you purchase 1250 grams of cobalt-60 to conduct a series of experiments(cobalt-60 has a half-life of 5.3 years)develope a model equation which represents the quality remaining after t.how much cobalt-60 will remain after 15 years?how long will it take for your cobalt to reach 30% of the original quanity?

ln(.5)/5.3=-.13078
r=-.13078
A(t)=1250e^-.13078t
c)ln(.3)=-.13078t
t=9.2 years

 

[mmm4444bot]

ln(.5)/5.3=-.13078
r=-.13078
A(t)=1250e^(-.13078t)
c)ln(.3)=-.13078t
t=9.2 years

c) looks like a typo.

Your result matches mine. Good job. :cool: