Answer: 0.19 m
Explanation:- Rate law says that rate of a reaction is directly proportional to the concentration of the reactants each raised to a stoichiometric coefficient determined experimentally called as order.
[tex]Rate=k[A]^x[/tex] (1)
k= rate constant
x= order= 1
As the units of [tex]k=s^{−1}[/tex] , the reaction follows first order kinetics.
[tex]Rate= 5.50\times 10^{-3}\times [0.550]^1=0.003ms^{-1}[/tex]
Also rate is the change in concentration of reactants or products in a given time.
[tex]Rate=\frac{-d[A]}{dt}[/tex] (2)
Equating (1) and (2)
[tex]Rate=\frac{-d[A]}{dt}=\frac{-[A_f-A_i]}{dt}=k[A][/tex]
[tex]0.003=-\frac{[A_f-0.550]}{120s}[/tex]
[tex]A_f=0.19m[/tex]
