The rate constant for this zero‑order reaction is 0.0230 M ⋅ s − 1 at 300 ∘ C. A ⟶ products How long (in seconds) would it take for the concentration of A to decrease from 0.780 M to 0.220 M?

Respuesta :

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]

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