(A) For the reaction,$A + B \longrightarrow$ Products.Let the rate law be: $\text{Rate} = k[A]^x[B]^y$.From observation $(i)$,doubling $[A]$ doubles t

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(A) For the reaction,$A + B \longrightarrow$ Products.Let the rate law be: $\text{Rate} = k[A]^x[B]^y$.From observation $(i)$,doubling $[A]$ doubles the rate: $2 \times \text{Rate} = k[2A]^x[B]^y \implies 2 = 2^x \implies x = 1$.From observation $(ii)$,doubling both $[A]$ and $[B]$ increases the rate by a factor of $8$: $8 \times \text{Rate} = k[2A]^1[2B]^y$.Dividing this by the original rate law: $8 = 2^1 \times 2^y \implies 8 = 2 \times 2^y \implies 4 = 2^y \implies y = 2$.Thus,the rate law is: $\text{Rate} = k[A][B]^2$.

Class 12 Chemistry Chemical Kinetics Rate law , Rate constant , Order of Reaction and Molecularity

For the reaction $A + B \rightarrow$ products,it is observed that
$(i)$ on doubling the initial concentration of $A$ only,the rate of reaction is also doubled and
$(ii)$ on doubling the initial concentration of both $A$ and $B$,there is a change by a factor of $8$ in the rate of the reaction.
The rate of this reaction is given by

AIPMT 2009 All AIPMT

A
rate $= k[A][B]^2$
B
rate $= k[A]^2[B]^2$
C
rate $= k[A][B]$
D
rate $= k[A]^2[B]$

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Chemical Kinetics

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Rate law , Rate constant , Order of Reaction and Molecularity

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For a reaction $X + Y \to Z$,the rate is given by $\text{rate} \propto [X]$. What are $(i)$ the molecularity and $(ii)$ the order of the reaction?

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Reaction : $2Br^{-} + H_2O_2 + 2H^{+} \to Br_2 + 2H_2O$
takes place in two steps :
$(a)$ $Br^{-} + H^{+} + H_2O_2 \xrightarrow{slow} HOBr + H_2O$
$(b)$ $HOBr + Br^{-} + H^{+} \xrightarrow{fast} H_2O + Br_2$
The order of the reaction is