Consider the decomposition of hydrogen peroxide \( (\mathrm{H_2O_2}) \) as per the equation given below :
\[ 2\mathrm{H_2O_2} \xrightarrow[\text{Alkaline medium}]{I^-} 2\mathrm{H_2O} + \mathrm{O_2} \]
The mechanism for this reaction was found to be :
Step I : \( \mathrm{H_2O_2} + I^- \longrightarrow \mathrm{H_2O} + IO^- \) (slow)
Step II : \( \mathrm{H_2O_2} + IO^- \longrightarrow \mathrm{H_2O} + I^- + \mathrm{O_2} \) (fast)
(a) Write the rate law expression.
(b) Determine the order of reaction with respect to \( \mathrm{H_2O_2} \), \( I^- \) and overall order of reaction.
(c) What is the molecularity of the reaction in Step II ?
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