Chapter 1 Section 17 Question 025 Internet Explorer M edugen

Chapter 1, Section 1.7, Question 025 Internet Explorer M edugen, wileypl /edugen/shared assignment test/qprint,un Print by ZACHERY JONES U01, SP17 rk 3 *Chapter 1, Section 1.7, Question 025 The half-life of radoactive stronti 90 is 29 years. In 60, radioactive stranti 90 was released into the atmosphere during testing of nucl ons, and was absorbed into people\'s bon How many years does it take untu only of the original amount absorbed remains? Round you to the nearest tege years unti only 986 of the original nt absorbed remaina. It takes approodmately is +/-28% Question Attempts O of 5 used 475% 009 PM 4/28/2017

Solution

Solution:

let it follow exponetial decay

P(t) = P_o(e^kt)

Given that t= 29 P(t)=P_o/2

P_o/2 = P_o e^k29

e^k29= 1/2

k = -0.0239

Now

time take to amount become 9% of original amout

0.09P_o= P_o e^-0.0239t

-0.0239 *t = -2.40794

t = 100.7508 year

Answer: 100.7508 year