Chemical Kinetics - Result Question 45

####45. Select the rate law that corresponds to data shown for the following reaction $A+B \longrightarrow$ products.

[1994]

\begin{tabular}{lllc} Exp. & {$[A]$} & {$[B]$} & Initial rate \\ 1 & 0.012 & 0.035 & 0.1 \\ 2 & 0.024 & 0.070 & 0.8 \\ 3 & 0.024 & 0.035 & 0.1 \\ 4 & 0.012 & 0.070 & 0.8 \end{tabular}

(a) $rate=k[B]^{3}$

(b) rate $=k[B]^{4}$

(c) rate $=k[A][B]^{3}$

(d) rate $=k[A]^{2}[B]^{2}$

Topic 3: Theories of Rate of Reaction

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Solution:

  1. (a) From data 1 and 3, it is clear that keeping (B) const, When $[A]$ is doubled, rate remains unaffected. Hence rate is independent of $[A]$. from 1 and 4, keeping $[A]$ constant, when $[B]$ is doubled, rate become 8 times. Hence rate $\propto[B]^{3}$.


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