Respuesta :
The initial concentration of a is 0.106M
What is First Order Reaction Kinetics ?
An order of chemical reaction in which the rate of the reaction depends on the concentration of only one reactant, and is proportional to the amount of the reactant.
It may be represented by the equation,
rate = kA, where k is the reaction rate constant, and A is the concentration of the reactant
The half life given is 21.7 hours .
If the concentration of a after 48 hours is 0.023M
Initial concentration of A = ?
[tex]\rm ln \dfrac{N}{N_{o}} =- kt[/tex]
for first order reaction
[tex]\rm t_{1/2}[/tex] = 0.693/k
k= 0.693/21.7
k=0.032
[tex]\rm ln \dfrac{0.023}{N_{o}} = - .032\times t[/tex]
[tex]\rm \dfrac{N}{N_{o}} = e^{- kt}\\\\\\\dfrac{0.023}{N_{o}} = e^{- 0.032\times 48}\\\\[/tex]
0.023/0.2152 = Nā
Nā = 0.106 M
Therefore the initial concentration of a is 0.106M.
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