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Answer to Question #968 in Organic Chemistry for bami

Question #968
& Butadiene (C4H6) reacts with itself at 250 °C to form a dimer with the formula C8H12.
2 C4H6 (g) ----> C8H12 (l)
The reaction is second order in C4H6.
(a) What is the rate law for the reaction, and;
(b) if the rate constant is 4.0 x 10-2 M-1& s-1, and the initial concentration of C4H6 is 0.200 M, how long will it take for the concentration of C4H6 to reach 0.04 M?
Expert's answer
a. The rate law for the reaction:
1/[C4H6] - 1/[C4H6]0 = kt
b. The intial concentration is 0.200 M, and the final concentration is 0.200 M. K is 0.84 L/mol min, so

1/0.040 M - 1/0.200 M = 4.0 x 10-2 M-1 s-1 * t
t = 500 s = 8.33 min.

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