Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

The following reaction was monitored as a function of time: AB times A + B A plo

ID: 480488 • Letter: T

Question

The following reaction was monitored as a function of time: AB times A + B A plot of 1/[AB] versus time yields a straight line with slope 5.3 times 10^-2 (M middot s) You may want to reference section 15.5 while completing this problem. What is the half-life when the initial concentration is 0.55 M ? Express your answer using two significant figures. If the initial concentration of AB is 0.230 M, and the reaction mixture initially contains no products, what are the concentrations of A and B after 80 s ? Express your answers numerically using two significant figures, separated by a comma.

Explanation / Answer

from the data it is clear that reaction is second order

for second order reaction.

t1/2  = 1/K[A0]

t1/2  = 1 / 0.053 [0.55]

t1/2  = 1 / 0.02915

t1/2  = 34 seconds

D) for second order

1/[A] = Kt + 1/[A0]

1/[A] = 0.053 x 80 + 1/0.23

1/[A] = 4.24 + 4.35

1/[A] = 8.59

[A] = 0.12 M

final concentration of [AB] = 0.12 M

0.23 - 0.12 = 0.11 M AB consumed

so [A] , [B] = 0.11 , 0.11