Answer:
[tex]t=24.35\ seconds[/tex]
Explanation:
Using integrated rate law for first order kinetics as:
[tex][A_t] = [A_0]-kt[/tex]
Where,
[tex][A_t][/tex] is the concentration at time t
[tex][A_0][/tex] is the initial concentration
Given that:
The rate constant, k = [tex]0.0230[/tex] Ms⁻¹
Initial concentration [tex][A_0][/tex] = 0.780 M
Final concentration [tex][A_t][/tex] = 0.220 M
Time = ?
Applying in the above equation, we get that:-
[tex]0.220 = 0.780-0.0230\times t[/tex]
[tex]780-23t=220[/tex]
[tex]t=\frac{560}{23}[/tex]
[tex]t=24.35\ seconds[/tex]