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Factors Affecting Rate of Reaction

Consider the ...

Question

Consider the following elementary reaction,
$2 A + B + C \to P r o d u c t s$ .
All reactant are present in the gaseous state and reactant C is taken in excess.
What is the unit of rate constant of the reaction ?

m o l L^{- 1} t i m e^{- 1}

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t i m e^{- 1}

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m o l^{- 1} L^{2} t i m e^{- 1}

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m o l^{- 2} L^{2} t i m e^{- 1}

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Solution

The correct option is B $m o l^{- 2} L^{2} t i m e^{- 1}$
Since C is taken in excess, so its concentration does not change. So it is not taken in rate expression of the reaction.
and rate law is,
$R a t e = k [A]^{2} [B]$
Order of reaction = 3
Units of third order reaction
$= [C o n e]^{1 - n} = [C o n e]^{1 - 3} = m o l^{- 2} L^{2} t i m e^{- 1}$

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2 A + B + C \to P r o d u c t s

298 K

2 A ⟶ C + D

\begin{matrix} {[A]}_{0}, m o l L^{- 1} & Initial rate in mol L^{- 1} s^{- 1} 0.01 & 5.0 \times 10^{- 5} 0.02 & 2.0 \times 10^{- 4} \end{matrix}

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4 \times 10^{- 6}

^{- 1}

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4 \times 10^{- 4} m o l L^{- 1}

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[A] = 0.1 m o l L^{- 1}, [B] = 0.2 m o l L^{- 1} a n d [C] = 0.8 m o l L^{- 1}

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