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Consider the following reaction between mercury(II) chloride and oxalate ion. Th

ID: 941595 • Letter: C

Question

Consider the following reaction between mercury(II) chloride and oxalate ion.

The initial rate of this reaction was determined for several concentrations of HgCl2 and C2O42-, and the following rate data were obtained for the rate of disappearance of C2O42-.

A) What is the value of the rate constant? _________ M^(-2)s^(-1)

B)What is the reaction rate when the concentration of HgCl2 is 0.18 M and that of C2O42- is 0.11 M if the temperature is the same as that used to obtain the data shown above? __________ M/s

Experiment [HgCl2] (M) [C2O42-] (M) Rate (M/s) 1 0.164 0.15 3.2 10-5 2 0.164 0.45 2.9 10-4 3 0.082 0.45 1.4 10-4 4 0.246 0.15 4.8 10-5

Explanation / Answer

Let the rate be represented as

-r = K[ HgCl2]m [C2O4-]n

From experiment 1

K[ 0.164]m [0.15]n = 3.2*10-5   (1)

From experiment 2

K[ 0.164]m [0.45]n = 2.9*10-4   (2)

Eq.2/ Eq.1 give   [3]n= 29/3.2=9, n=2

From experiment 3

K[ 0.082]m [0.45]n = 1.4*10-4   (3)

From experiment 4

K[ 0.246]m [0.15]n = 4.8*10-5   (4)

Eq.4/Eq.1 = (0.246/0.164)m= (4.8/3.2)=1.5, m=1

So the rate becomes

-r = K[ HgCl2]1 [C2O4-]2

From Eq.1, 3.2*10-5= K [0.164 [0.15]2 =K*0.00369

K= 3.2*10-5/0.00369=0.008672/M2.S

b) for [HgCl2]= 0.18M and [C2O4-2]= 0.11 M -r = 0.008672*0.18*(0.11)2 =1.888*10-5M/S