MCQ
For a reaction $2A + B \to $ Products, doubling the initial concentration of both the reactants increases the rate by a factor of $8$, and doubling the concentration of $+B$  alone doubles the rate. The rate law for the reaction is
  • A
    $\gamma = k[A]{[B]^2}$
  • $\gamma = k{[A]^2}[B]$
  • C
    $\gamma = k[A][B]$
  • D
    $\gamma = k{[A]^2}{[B]^2}$

Answer

Correct option: B.
$\gamma = k{[A]^2}[B]$
b
(b) $2A + B \to $ Products

According to question : Rate of reaction of '$A$' $ \propto $ $[B]$ as increase in rate is double when $[B]$  is doubled

Rate of reaction $ \propto $$[A] $ $[B]$  as increase in rate is $8$ times when concentration of both reactant is doubled.

It means that order of reaction is $ 3$ and overall rate reaction should be $r = K{[A]^2}[B]$

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