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Use the Kelerences to access importast valees if needed for this question The fo

ID: 1044692 • Letter: U

Question

Use the Kelerences to access importast valees if needed for this question The following initial rate data are for the reaction of ICI with hydrogen ICI+H+2 HCI Experiment ICl, M Instial Rate, M s 5.79 103 1.16 102 2.31 10 2 62 102 59 10-2 0.172 192 192 383 50 10-2 172 Complete the rate law for this reaction in the box below Use the form kJA)"B)", where "1' is understood for m or n and concentrations taken to the zero power do not appear Don't enter I for m or n From these data, the rate constant is'

Explanation / Answer

2 ICI     +     H2     ------>     I2     + 2 HCl

Rate = k [ICI]m [H2]n

Now,

Considering experiment (1) and (2), Keeping [H2] concentration constant and increasing the concentration of [ICI] by two times the rate increases by two times.

2 x Rate = k [2 ICI]m [H2]n

Or, 2 x Rate = k 2m [ICI]m [H2]n

Or, 2 x Rate = 2m (k [ICI]m [H2]n )

Or, 2 = 2m

Or, m = 1

Again, considering experiment (1) and (3), Keeping [ICI] concentration constant and increasing the concentration of [H2] by four times the rate increases by two times.

4 x Rate = k [ICI]m [2H2]n

Or, 4 x Rate = k 2n [ICI]m [H2]n

Or, 4 x Rate = 2n (k [ICI]m [H2]n )

Or, 4 = 2n

Or, n = 2

So, the overall rate equation is expressed as

Rate = k [ICI]1 [H2]2

Rate = k [ICI] [H2]2

Now, substituting the values from experiment 2 in the rate equation, we get;

1.16 x 10-2 Ms-1= k (0.172 M) x (0.192 M)2

Or, 1.16 x 10-2 Ms-1 = k (0.172 M) x (0.192 M)2

Or, 1.16 x 10-2 Ms-1 = k (6.34 x 10-3) M3

k = [1.16 x 10-2 Ms-1] / [(6.34 x 10-3) M3]

k = 1.83 M-2s-1