show work please help C, the initial rate is measured 13. For the reaction 2A B

Question

show work please help C, the initial rate is measured 13. For the reaction 2A B at several different concentrations of reactants. Use the data in the table shown below to determine the order of the reaction. [A] (M)[B] (M) Initial Rate (M/s) 0.05 0.035 0.05 0.10 0.05 0.070 0.10 0.56 0.20 B) 2 C) 3 D) 4 A) 1 E) 5 14. The reaction X products is second order in X and has a rate constant of 0.035 Mi s 1. If a reaction mixture is initially at 0.45 Min X, what is the concentration of X after 155 seconds. A) 7.6 M B) 0.13 M C) 2.0 x 10 3 M D) 0.23 E) 0.00 M M 15. A decomposition reaction has a half-life that depends only on the rate constant of the reaction. What is the order of the reaction? A) zero order B) first order C) second order D third order E) insufficient information

Explanation / Answer

13) let order with A be x and B be y

Then rate = [A]x[B]y

Comparing run2 with run 1

Rate 2 /rate 1 = 0.070/0.035 = (0.10/0.05)x (0.05/0.05)y

   or 2 = 2x

Thus x = orde rwith A = 1

Comparing rate 3 and rate 2

Rate 3/rate 2 = 0.56/0.070 = (0.20/0.10)(0.10/0.05)y

8 = 2 x 2y

Thus y = order with respect to B = 2

Thus the overall order of the reaction = x+y = 3

OPTION C

14) The reaction is second order with X

rate constant = 0.035 Ms-1

[X]o  = 0.45M

[X]t = ? and t= 155s

Second order rate law is

k = (1/t) [(1/[X]t) -(1/[X]0 )]

0.035 = (1/155) [ (1/x) -(1/0.45)]

Hence x = 0.1307 M

OPTION B

15)The reaction in which the half life depends only on rate constant not on initial concentration is first order reaction.

T1/2 of first order reaction = 0.693/k

OPTION B

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