Homework, 6th edition, 15.27

[Bianca Barcelo 4I]

Hi, can someone help me figure out how to do part c and d?

[monikac4k]

What I did was use the half-life in order to find the k value (t1/2= ln2/k). Then I would just use the integrated rate law to solve for the time required for the other scenarios. For example, when it asks for 15% of the initial concentration, you would plug in 0.15A0 into [A] and then solve. Although you don't have a value for A, when you rearrange the integrated rate law, the A should cancel. Hope this helps!

[Jennifer Su 2L]

For parts c and d, you need to first find the value of k by using the half life formula.

t1/2 = 0.693/k =355s, so k= 1.95x10^-3 s^-1

You can then plug this into the first order rate equation to find the time (t).
ln[A]= -kt + ln[A]not

c) ln(0.15)= -(1.95x10^-3 s^-1)*t + ln(1), so t=9.7x10^2 s
d) ln(1/9)= -(1.95x10^-3 s^-1)*t + ln(1), so t=1.1x10^3 s