Reaction $aA + bB\,\to $ product. The rate of reaction $= k[A]^3\, [B]^0$ if the concentration of $A$ is double and concentration of $B$ is half the rate will be ?

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$8$ times

Initially rate $=\mathrm{k}[\mathrm{A}]^{x}[\mathrm{~B}]^{y}=[\mathrm{A}]^{3}[\mathrm{~B}]^{0}=[\mathrm{A}]^{3}$

Concentration of $\mathrm{A}=$ double $=2 \mathrm{~A}$

Concentration of $\mathrm{B}=$ half $=\frac{\mathrm{B}}{2}$

Rate $=[2 \mathrm{~A}]^{3}\left[\frac{\mathrm{B}}{2}\right]^{0}$

$=8 \mathrm{~A}^{3}$

Similar Questions

Why molecularity is applicable only for elementary reactions and order is applicable for elementary as well as complex reactions ?

Consider the following reaction,

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$N _2 O _2( g )+ H _2( g ) \stackrel{ k _2}{\rightleftharpoons} N _2 O ( g )+ H _2 O ( g )$

$N _2 O ( g )+ H _2( g ) \stackrel{ k _3}{\rightleftharpoons} N _2( g )+ H _2 O ( g )$

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Determine the order of reaction on the basis of following data for the reaction $A + B \to C$

Exp. $[A]$ $[B]$ Rate of reaction
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The rate of the reaction :

$2N_2O_5 \rightarrow 4NO_2 + O_2$ can be written in three ways.

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The relationship between $k$ and $k'$ and betweenk and $k''$ are

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Rate constant for a reaction ${H_2} + {I_2} \to 2HI$ is $49$, then rate constant for reaction $2HI \to {H_2} + {I_2}$ is