Organic Chemistry II Lab 1) Cyclobutane decomposes in a first-order reaction, wi

Question

Organic Chemistry II Lab

1) Cyclobutane decomposes in a first-order reaction, with a rate constant of 87 s-1, to form two molecules of ethylene. If the initial concentration is 3 M, what is the concentration after 0.030 seconds? (Please round answer to one significant figure).

2) Cyclopropane thermally decomposes by a first-order reaction to form propene.

A) If the rate constant is 9.2 s-1, what is the half-life of the reaction?

B) How long does it take for the concentration to reach 0.50 of its initial value?

(Please round answers to two significant figures)

Thank you!

Explanation / Answer

1)

let X be the concentration

Xt= X0 * e^-kt

X= 3*e^-87*0.03

X = 0.22M

2) A)T1/2= 0.693/k= 0.693/9.2

= 0.075

B) FOR CONC to become half t= t1/2=0.075s

and since 0.075 already has 2 significant figures t1/2 remains 0.075s

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