For the reaction in aqueous solution) the initial rate of I disappearance is giv

Question

For the reaction in aqueous solution) the initial rate of I disappearance is given below for mixtures of various initial composition (no Ol or Cis present) Initial compositionInitial composition Initial composition Inae v C (M) 1.5x103 1.5x103 3.0x103 3.0x10-3 OH (M) 1.00 1.00 2.00 1.00 L- s 2×10-3 4×10-3 2x10-3 4x10-3 The rate law can be expressed in the form 1.8x10-4 3.6x10-4 1.8×10-4 7.2×10-4 a) Find the values of a, b, and c a) b) Find the values of a, b, and c Find the value of k, including proper units Show whether this rate law is consistent with the mechanism oC H20 HOCI OH (rapid equilibrium) (slow) HOOH 2 H20 O(rapid equilibrium)

Explanation / Answer

order w.r.t I-

r1/r2 = (a1/a2)^a

(1.8*10^-4/(3.6*10^-4)) = (2*10^-3/(4*10^-3))^a

a = 1

order w.r.t OCl-

r2/r4 = (a2/a4)^b

(3.6*10^-4/(7.2*10^-4)) = (1.5*10^-3/(3*10^-3))^b

b = 1

order w.r.t OH-

r1/r3 = (a1/a3)^a

(1.8*10^-4/(1.8*10^-4)) = (1.5*10^-3/(3*10^-3))^1*(1/2)^c

c = - 1

rate = k[I-]^1[OCl-]^1[OH-]^-1

K = rate / [I-]^1[OCl-]^1[OH-]^-1

K = (1.8*10^-4)/((2*10^-3)*(1.5*10^-3)*1^(-1))

   = 60

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