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the rate of reaction r= K[A] m [B] n , where m and n are orders of reaction with

ID: 699593 • Letter: T

Question

the rate of reaction r= K[A]m [B]n, where m and n are orders of reaction with respect to A and B respectively and K is rate constant.

from 1st data point, given [A]=[B]=1.5, rate= K[1.5]m[ 1.5]n= 0.315          (1)

from 2nd data point, K[1.5]m [2.5]n= 0.298 (2)

Eq,2/Eq.1 (2.5/1.5)n= 0.298/0.315

taking ln, n*ln(2.5/1.5)= ln(0.298/0.315)

n= -0.11

from 3rd data point, K[3]m [1.5]n= 0.55 (3)

Eq.3/Eq.1 gives 2m=1.74, taking ln, mln2= ln(1.74), m=0.8

the rate hence r= K[A]0.8 [B]-0.11

from the 1st data point, K[1.5]0.8 [1.5]-0.11= 0.315, K=0.24/M0.31.S

rate law becomes r= 0.24[A]0.8 [B]-0.11

Explanation / Answer

7) Consider the reaction: A + B--> products. From the following data obtained at a certain reaction and calculate the rate constant: temperature, determine the order of the A M BI M Rate (M/s)