Respuesta :
Rate of the reaction is represented as
Rate=k[A][B]
Rate represents change in product concentration with time that has a unit Ms- Whereas concentration of each reactant can be represented as M . so the expression will become:
Ms-1=k[M][M]
k=M-1 s-1.
Answer : The unit of 'k' of the given expression will be, [tex]M^{-1}s^{-1}[/tex]
Explanation:
Rate of reaction : It is defined as the rate of change in concentration of reactant or product with respect to time.
The given rate expression is,
[tex]Rate=k[A][B][/tex]
From this expression we conclude that the power of concentration of reactant A and B are 1, 1. That means it is a second order reaction.
The formula for determining the unit of 'k' is:
[tex]\text{Unit}=\frac{(Concentration)^{1-n}}{Time}[/tex]
where, n = order of reaction
The unit of concentration is, M or mole/L
The unit of time is, second or 's'.
When n = 0
The unit of 'k' = [tex]\frac{(M)^{1-0}}{s}=Ms^{-1}[/tex]
When n = 1
The unit of 'k' = [tex]\frac{(M)^{1-1}}{s}=s^{-1}[/tex]
When n = 2
The unit of 'k' = [tex]\frac{(M)^{1-2}}{s}=M^{-1}s^{-1}[/tex]
and so on.....
Therefore, the unit of 'k' of the following expression is, [tex]M^{-1}s^{-1}[/tex]
