Butadiene (C4H6) reacts with itself to form a dimmer with the formula C8H12. The

Question

Butadiene (C4H6) reacts with itself to form a dimmer with the formula C8H12. The reaction is second order in butadiene with a rate constant of 4.0 x 10^-2 M^-1 sec^- at 25 degrees celsius.

a.) calculate the concentration of butadiene after 45 minutes if the intial concentration was 0.0200M.

b.) Calculate the time (in hours) required for the concentration of butadiene to decrease from an initial concentration of 0.0200M to a final concentration of 0.002M.

I know that you solve this using 1/[A]t = kt + 1/[A]o but I keep getting the wrong answer. The answer I am supposed to be getting is 5.65 x 10^-3 M, but I keep getting one of the steps wrong or something.

Explanation / Answer

45min = 2700 s


1 / x - 1 / 0.02 = 0.04 x 2700

1 / x -50 = 108

1 / x = 158

x = 0.0063 M



1 / 0.002 - 1 / 0.02 = 0.04 t
500 - 50 = 0.04 t
450 = 0.04 t
t = 11250 s => 3.125 h

for a second order reaction
t/12= = 1 / k [A]* = 1 / 0.04 x 0.02 =1250 s =>20.8 min

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