Answer:
The rate constant for the given reaction is [tex]1.78 M^{-2}s^{-1}[/tex].
Explanation:
A + B → C + D
The initial concentrations of the reactants A = [A] = 0.400 M
The initial concentrations of the reactants B = [B] = 0.290 M
Order of reaction with respect to A = 1
Order of reaction with respect to B = 2
The rate of reaction = R = 0.060 M/s
The expression of the rate of the reaction will be given as:
[tex]R=k[A]^1[B]^2[/tex]
[tex]0.060 M/s=k[0.400 M]^1[0.290 M]^2[/tex]
[tex]k=\frac{0.060 M/s}{[0.400 M]^1[0.290 M]^2}=1.78 M^{-2}s^{-1}[/tex]
The rate constant for the given reaction is [tex]1.78 M^{-2}s^{-1}[/tex].