Consider the first order reaction A----> Products where [A]o = 0.0259 M and [A]

Question

Consider the first order reaction A----> Products where [A]o = 0.0259 M and [A] = 0.0095 M after 45.0 seconds a) Determine the value of the rate constant. b) Determine the half-life. c) Determine the concentration of A after 60.0 seconds. d) What fraction is left after 135 seconds? Consider the first order reaction A----> Products where [A]o = 0.0259 M and [A] = 0.0095 M after 45.0 seconds a) Determine the value of the rate constant. b) Determine the half-life. c) Determine the concentration of A after 60.0 seconds. d) What fraction is left after 135 seconds? Consider the first order reaction A----> Products where [A]o = 0.0259 M and [A] = 0.0095 M after 45.0 seconds a) Determine the value of the rate constant. b) Determine the half-life. c) Determine the concentration of A after 60.0 seconds. d) What fraction is left after 135 seconds?

Explanation / Answer

a) [A]o = 0.0259 M and [A] = 0.0095 M after 45.0 seconds

k = 1/t x ln (Ao/A)

     = 1 / 45 x ln (0.0259 / 0.0095)

      = 0.022 s-1

rate constant k = 0.022 s-1

b)

half-life = 0.693 / k

t1/2 = 0.693 / 0.022

       = 31.5 sec

half-life =t1/2 = 31.5 sec

c)

k = 1/t x ln (Ao/A)

0.022 = 1 / 60 x ln (0.0259 / A)

A = 0.0069 M

d)

k = 1/t x ln (Ao/A)

0.022 = 1 / 135 x ln (Ao/A)

(Ao/A) = 19.5

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