Question #bf230

1 Answer
May 29, 2017

Answer:

Pu-239 has a half life of 24100 years.

Explanation:

Decay reaction:

#C=C_0*e^-(r*t)#

First let me compute r (decay coefficient) for Pu-239.

#5=10*e^-(r*24100)#

#ln 0.5 = -24100*r#

#r = 0.00002876# 1/year

Now you can compute what amount of Pu-239 will be after 6500 years.

#C = 10*e^-(0.00002876*6500)#

#C=10*0.8295#

#C=8.295# grams of Pu-239.

Your answer is 8.295 grams.

Reference:

Half-life of Plutonium 239. Retrieved on the internet May 29, 2017. hypertextbook(dot)com(slash)facts(slash)1999(slash)JaniceChing(dot)shtml