Determine the rate law and the value of k for the following reaction using the d

Question

Determine the rate law and the value of k for the following reaction using the data provided.

      S2O82?(aq) + 3 I?(aq) ? 2 SO42?(g) + I3?(aq)     [S2O82?]i (M)   [I?]i (M)    Initial Rate (M-1s-1)

                                                                                       0.30                      0.42              4.54

                                                                                       0.44                      0.42              6.65

                                                                                       0.44                      0.21              3.33

Explanation / Answer

rate= k [S2O8^-2]x [I-]y

from data

0.30=k [0.42]x [4.54]y ------------->(1)

0.44=k [0.42]x [6.65]y ------------------> (2)

0.44=k [0.21]x [3.33]y ------------------> (3)

by solving x=-1 , y= 1

Rate Law

rate= k [S2O8^-2]-1 [I-]1

from (1)

0.30=k [0.42]-1 [4.54]1 ------------->(1)

k = 0.028 Mol lit sec-1

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