Half Life


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Lusin_Yengibaryan_3B
Posts: 113
Joined: Wed Sep 30, 2020 9:33 pm

Half Life

Postby Lusin_Yengibaryan_3B » Sat Mar 13, 2021 8:55 pm

How do we calculate half life for a first-order reaction? For a second order-reaction? for a zero-order reaction?

Aaron Akhavan-Dis1B
Posts: 106
Joined: Wed Sep 30, 2020 9:59 pm

Re: Half Life

Postby Aaron Akhavan-Dis1B » Sat Mar 13, 2021 9:02 pm

1st order reaction half life: t1/2 = 0.693/k. 2nd Order is: t1/2 = 1/(k[A]o). Zero order: t1/2 = ([A]o)/(2k). The little o's mean "naught."

Armen_Isayan_2L
Posts: 116
Joined: Wed Sep 30, 2020 10:09 pm

Re: Half Life

Postby Armen_Isayan_2L » Sat Mar 13, 2021 9:23 pm

Hello! In order to calculate the half-life of a first-order reaction the equation is: t½ = 0.693/k
To calculate the half-life of a second-order reaction the equation is: t½ = 1/k[Ao]
To calculate the half-life of a zero-order reaction the equation is: t½ = [Ao]/2k

rhettfarmer-3H
Posts: 122
Joined: Wed Sep 30, 2020 9:59 pm

Re: Half Life

Postby rhettfarmer-3H » Sat Mar 13, 2021 9:42 pm

the half life is given on the outline which is pretty easy to remember.

First order is
t=.693/k

2nd is

t=1/kA intial

Zero is
t=Aintial/2k

Jarrett Sung 3B
Posts: 60
Joined: Wed Sep 30, 2020 9:41 pm

Re: Half Life

Postby Jarrett Sung 3B » Sun Mar 14, 2021 12:00 am

All the half-life equations are based off the order equations on the equation sheet. Know which integrated equation goes with each order, and you can easily find the half-life equation.

Sarah Hernandez 1F
Posts: 105
Joined: Wed Sep 30, 2020 9:50 pm

Re: Half Life

Postby Sarah Hernandez 1F » Sun Mar 14, 2021 12:46 am

if it helps, on the Constants and formula sheet the half life for the first order is on the third from the bottom row of equations, second in the second from the bottom, and zero order is the second equation on the very bottom of the sheet, all denoted with t1/2

Manseej Khatri 2B
Posts: 100
Joined: Wed Sep 30, 2020 9:42 pm

Re: Half Life

Postby Manseej Khatri 2B » Sun Mar 14, 2021 12:58 am

Hi. To find the half lives for each order reaction, you can use the integrated rate law. For example for zero order [A]/2 = -kt + [A]. Solving for t gives the half life. You can do the same for first and second order using their respective equations.

Neha Mukund
Posts: 109
Joined: Fri Sep 24, 2021 5:23 am

Re: Half Life

Postby Neha Mukund » Thu Mar 03, 2022 7:33 pm

In order to find the half life of a reaction, you use these equations:
First order is t=.693/k, 2nd order is t=1/k[o], and Zero order is t=A[o]/2k

Emma Goellner 2I
Posts: 110
Joined: Fri Sep 24, 2021 6:28 am

Re: Half Life

Postby Emma Goellner 2I » Fri Mar 04, 2022 1:18 am

For a first order reaction, t1/2=0.693/k
For a second order reaction, t1/2=1/k[A]o
For a zero order reaction, t1/2=[A]o/2k

305561744
Posts: 99
Joined: Fri Sep 24, 2021 7:14 am

Re: Half Life

Postby 305561744 » Sat Mar 05, 2022 11:13 am

1st order reactions use t1/2=0.693/k, 2nd order reactions use t1/2=1/k[A]o and 3rd order reactions use t1/2 = [A]o/2k

Arjan G 2H
Posts: 100
Joined: Fri Sep 24, 2021 6:34 am

Re: Half Life

Postby Arjan G 2H » Sat Mar 05, 2022 3:31 pm

Hi! For the half-life of a first-order reaction, you would use the equation 0.693/k, For the half-life of a second-order reaction, you would use the equation 1/k[A]0, where [A]0 is the initial concentration of the reactant. For a zero-order reaction, you would use the equation [A]0/2k. I hope this helps!

Albert Chen 1G
Posts: 101
Joined: Fri Sep 24, 2021 6:28 am

Re: Half Life

Postby Albert Chen 1G » Sat Mar 05, 2022 3:58 pm

Depending on the order, there are certain equations that can be derived from the integrated rate laws.
First order t 1/2 = 0.693/k
Second Order t1/2 = 1/(k[A]o).
Zero order t1/2 = ([A]o)/(2k)

These can all be found on the equation sheet.


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