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

ID: 947218 • Letter: 1

Question

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

a) If the rate constant is 6.0 s–1, what is the half–life of the reaction?

b) How long does it take for the concentration to reach 0.125s of its initial value?

2) Cyclobutane (C4H8) decomposes in a first-order reaction, with a rate constant of 87 s-1, to form two molecules of ethylene (C2H4). If the initial concentration is 4 M, what is the concentration after 0.040 seconds? Please round your answer to one significant figure.

Explanation / Answer

1)

rate constant = k = 6.0 sec-1

half-life = 0.693 / rate constant

              = 0.693 / 6

              = 0.1155 s

b) this probelm you gave incorrectly check once

2) k= 87 s-1

Ao = 4 M

t = 0.040 s

k = 1/t * ln (Ao /At)

87 = 1/0.040 * ln (4 /At)

At = 0.123 M

concnetration = 0.123 M