The predicted rate law, using the steady state approximation, for the reaction H2O2 + 2H+ + 2I- → I2 + 2H2O following the possible mechanism is

rapid equilibrium

HI + H2O2  H2O + HOI slow

HOI + I-  I2 + OH- fast

OH- + H+  H2O fast is

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CSIR-UGC (NET) Chemical Science: Held on (18 Sept 2022)
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  1. K2 [HI][H2 O2]
  2. k1k-1K2 [HI][H2 O2]
  3.  [H+] [I-][H2 O2]

Answer (Detailed Solution Below)

Option 1 :
Free
Seating Arrangement
10 Qs. 20 Marks 15 Mins

Detailed Solution

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Concept:-

  • The rate of a chemical reaction is defined as the speed at which the reactants are converted into products. The rate of a reaction depends on the composition and the temperature of the reaction mixture.
  • It is the amount of chemical change occurring with time.
  • According to the steady state approximation, When a reaction proceeds steadily, there will be no overall accumulation of the intermediate, and there would be a stationary concentration of the same.
  • When the concentration of the intermediate is very small, then according to the steady state approximation

  • Let us consider the following consecutive reaction,

  • If the concentration of the reactive intermediate 'B' has a small value that practically remains constant throughout the reaction, then we can apply steady state approximation for B as,

  • Therefore for the consecutive reaction,

  • Again, the Rate of the reaction is given by,

Explanation:-

For the reaction,

H2O2 + 2H+ + 2I- → I2 + 2H2O following the possible mechanism is

 rapid equilibrium

HI + H2O2  H2O + HOI (slow)

HOI + I-  I2 + OH- (fast)

OH- + H+  H2O (fast) is

  • Now, the rate expression for HI is from the above equations;

So, 

or, 

or, ........(i)

  • Now, From equation (i) for the slowest step we got

Rate = k2[HI][H2O2]

Conclusion:-

 Therefore the option 1 is correct.

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