For a reaction 3A→2BThe average rate of appearance of B is given by Δ[B]Δt. The correct relation between the average rate of appearance of B with the average rate of disappearance of A is given in option :

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For a reaction $3 A \to 2 B$
The average rate of appearance of B is given by $\frac{Δ [B]}{Δt} .$ The correct relation between the average rate of appearance of B with the average rate of disappearance of A is given in option :

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$\frac{- Δ [A]}{Δt}$

$\frac{- 3 Δ [A]}{2 Δ t}$

$\frac{- 2 Δ [A]}{3 Δ t}$

$\frac{Δ [A]}{Δt}$

answer is C.

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Detailed Solution

$\begin{array}{l} 3 A \to 2 B \\ r = - \frac{1}{3} \frac{Δ [A]}{Δt} = + \frac{1}{2} \frac{Δ [B]}{Δt} \\ + \frac{Δ [B]}{Δt} = - \frac{2}{3} \frac{Δ [A]}{Δt} \end{array}$