centration arter 22S S 30)The following reaction is monitored as a function of t

Question

centration arter 22S S 30)The following reaction is monitored as a function of time: AB A + B A plot of 1/[AB] versus time yields a straight line with slope 0.055/M.s a. What is the value of the rate constant (k) for this reaction at this temperature? b. Write the rate law for the reaction. c. What is the half-life when the initial concentration is 0.55 M? d. If the initial concentration of AB is 0.250 M, and the reac- tion mixture initially contains no products, what are the concentrations of A and B after 75 s?

Explanation / Answer

a. genreal equation for second order reaction is as

1/[A] = 1/[A]0 + kt

where [A] concentration at time t and [A]0 concentration at time t = 0

so, plot of 1[AB] vs time will be stright line having slope = rate constant

therefore, value of rate constant (k) = 0.055 /M.s

b. rate = 0.055 /M.s [AB]2

c. expression of half life will be

t1/2 = 1/k*[A]0 = 1/(0.055 /M.s * 0.55 M) = 0.33 s

d. 1/[A] = 1/[A]0 + kt

or, 1/[A] = 1/0.250 + 0.055 /M.s *75 s

[A] = 0.123 M and [B] = 0.123 M

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