Select the rate law that corresponds to data shown for the following reaction $\mathrm{A}+\mathrm{B}…

Select the rate law that corresponds to data shown for the following reaction $\mathrm{A}+\mathrm{B} \longrightarrow$ products.
$\begin{array}{llll}\text { Exp. } & \text { [A] } & \text { [B] } & \text { Initial rate } \\ 1 & 0.012 & 0.035 & 0.1 \\ 2 & 0.024 & 0.070 & 0.8 \\ 3 & 0.024 & 0.035 & 0.1 \\ 4 & 0.012 & 0.070 & 0.8\end{array}$
  1. rate $=\mathrm{k}[\mathrm{B}]^{3}$
  2. rate $=\mathrm{k}[\mathrm{B}]^{4}$
  3. rate $=\mathrm{k}[\mathrm{A}][\mathrm{B}]^{3}$
  4. rate $=\mathrm{k}[\mathrm{A}]^{2}[\mathrm{~B}]^{2}$

Solution

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

Asked in: JEE-TOPICTESTS-CHEMISTRY

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