Based on the data given and a rate constant of 0.031 M?1?min?1, calculate the time at which the concentration of reactant A will be 0.175M .




t (min) [A]t(M)

0.00 0.500

20.0 0.382

40.0 0.310

60.0 0.260

80.0 0.2

Respuesta :

Answer:

After 120.0 minutes the the concentration of reactant A will be 0.175 M

Explanation:

Rate constant of the reaction = k =[tex]0.03 M^{-1} min^{-1}[/tex]

From the units of rate constant is very much obvious that reaction of second order kinetics.

Initial concentration of reactant = [tex][A_o]=0.50M[/tex]

Final concentration of A after time t = [tex][A]=0.175 M[/tex]

t = ?

Integrated rate law for second order kinetics is given by:

[tex]\frac{1}{[A]}=kt+\frac{1}{[A_0]}[/tex]

[tex]\frac{1}{0.175  M}=0.031 M^{-1} min^{-1}\times t+\frac{1}{0.500 M}[/tex]

t = 119.8 min ≈ 120.0 min

After 120.0 minutes the the concentration of reactant A will be 0.175 M