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Q.
In the simple reaction $2A + B\to A_2B$, if the concentration of A is doubled and of B is halved, then the rate of reaction will
Chemical Kinetics
Solution:
Reaction: $2 A+B \longrightarrow A_{2} B$
Rate $=C[A]^{2}[B] ; C \rightarrow$ rate constant
let conc. of $A$ be $a_{0} \&$ that of $B$ be $b_{0}$
$\Rightarrow $ Rate $=c a_{0}^{2} b_{0}=k$ (say)
$Au^m$ to question, is concenctration of $a$ is doubled & $b$ is halved $\Rightarrow [A]=2 a_{0} \&[B]=b_{0} / 2 .$
$\Rightarrow $ Rate $=c\left(2 a_{0}\right)^{2}\left(b_{0 / 2}\right)$
$=2 a_{0}{ }^{2} b_{0} c=2 k .$
$\Rightarrow $ on doing the following changes as said in question, rate of reaction doubles.