consider a certain type of nucleus that has a half-life of 32 min. calculate the
ID: 991851 • Letter: C
Question
consider a certain type of nucleus that has a half-life of 32 min. calculate the percent of original sample of nuclides remaining after 2.5 hours have passed. Please explain thanks consider a certain type of nucleus that has a half-life of 32 min. calculate the percent of original sample of nuclides remaining after 2.5 hours have passed. Please explain thanks consider a certain type of nucleus that has a half-life of 32 min. calculate the percent of original sample of nuclides remaining after 2.5 hours have passed. Please explain thanksExplanation / Answer
one this is very clear all the radioactivew decays reactiionw will follow first order reaction right?
now he has given half life = 32 min
from thew half life we can find out the rate constant
the relation between half life and rate constant for first order is
k = 0.639 / t1/2
k = 0.693 / 32 min = 0.02165 min-1
now take the first oder rate equation
k = (2.303/t ) log(A0/A)
where k = rate constant = 0.02165 min-1
t = time which is given as 2.5 hours convert in to min
= 2.5 x 60 = 150 min
A0 = intial concentration let it be 100%
A= concentration after 2.5 h we need to calculate
plug in all the values in the above equation
0.02165 min-1 = (2.303/ 150 ) log (100 /A)
log (100 /A) = 150 x 0.02165 / 2.303
log (100 /A) = 1.41
100 / A = 101.41 = 25.73
A = 100 / 25.73
A = 3.88%
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