Answer:
The concentration of HI in the vessel after 0.210 seconds later will be 0.097 M.
Explanation:
Initial concentration of HI =[tex][A_o]=0.440 M[/tex]
Final concentration after t seconds = [A]
t = 0.210 seconds
Rate constant of reaction = k = [tex]7.21 s^{-1}[/tex]
The integrated rate law of first order kinetics :
[tex][A]=[A_o]\times e^{-kt}[/tex]
[tex][A]=0.440 M\times e^{-7.21 s^{-1}\times 0.210 s}[/tex]
[A] = 0.0968 M ≈ 0.097 M
The concentration of HI in the vessel after 0.210 seconds later will be 0.097 M.