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Rate of Reaction

For the react...

Question

For the reaction, $2 A + B \to A_{2} B$ the rate $= k [A] [B]^{2}$ with $k = 2.0 \times 10^{- 6} m o l^{- 2} L^{- 2} s^{- 1}$ . Calculate the initial rate of reaction when $[A] = 0.1 m o l L^{- 1}, [B] = 0.2 m o l L^{- 1}$ . Calculate the rate of reaction after [A] is reduced to $0.06 m o l L^{- 1}$ .

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Solution

(i) Case I: Rate $= k [A] [B]^{2}$
$= (2.0 \times 10^{- 6} m o l^{- 2} L^{- 2} s^{- 1}) \times (0.1 m o l L^{- 1}) \times (0.2 m o l L^{- 1})^{2}$
$= 8.0 \times 10^{- 9} m o l L^{- 1} s^{- 1}$

(ii) Case II: Concentration of A at a particular time $= 0.06 m o l L^{- 1}$
Amount of A reacted $= (0.1 - 0.06) = 0.04 m o l L^{- 1}$
Amount of B reacted $= \frac{1}{2} \times 0.04 m o l L^{- 1} = 0.02 m o l L^{- 1}$
Concentration of B at a particular time
$= (0.2 - 0.02) m o l L^{- 1} = 0.18 m o l L^{- 1}$
Rate $= k [A] [B]^{2}$
$= (2.0 \times 10^{- 6} m o l^{- 2} L^{2} s^{- 1}) \times (0.06 m o l L^{- 1}) \times (0.18 m o l L^{- 1})^{2}$
$= 3.89 \times 10^{- 9} m o l L^{- 1} s^{- 1}$

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Rate of Reaction

Standard XII Chemistry

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