For the reaction $2 A + B \to C$ , the rate of formation of $C$ is $0.25$ $m o l$ $L^{- 1} {h r}^{- 1}$ . What is the rate of disappearance of $A$ and $B$ ?

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Solution

$2 A + B \to C$
Rate of formation of $C = \frac{d [C]}{d t} = 0.25 m o l L^{- 1} h r^{- 1}$
Rate of disappearance of $A = \frac{1}{2} \frac{d [A]}{d t}$
( $\frac{1}{2}$ is because 2 is coefficient of A)
Rate of disappearance of $B = \frac{d [B]}{d t}$
Rate of disappearance of A & B = Rate of formation of B
$\frac{1}{2} \frac{d [A]}{d t} = \frac{d [B]}{d t} = \frac{d [C]}{d t} = 0.25 m o l L^{- 1} h r^{- 1}$
Rate of disappearance of $A = 2 \times 0.25 m o l L^{- 1} h r^{- 1}$
$= 0.50 m o l L^{- 1} h r^{- 1}$
Rate of disappearance of $B = 0.25 m o l L^{- 1} h r^{- 1}$

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