The rate constant for a certain reaction is k = 6.60×10−3 s−1 . If the initial reactant concentration was 0.800 M, what will the concentration be after 14.0 minutes?

Respuesta :

Answer:

0.7 M

Explanation:

We are given that

[tex]k=6.6\times 10^{-3}s^{-1}[/tex]

Initial concentration =[tex][A_0]=0.8 M[/tex]

Time=14 s

We have to fine the concentration after 14 s.

We know that

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

Using the formula

[tex]6.6\times 10^{-3}\times 14=ln\frac{0.8}{[A]}[/tex]

[tex]92.4\times 10^{-3}=ln(0.8)-ln[A][/tex]

By using identity ;[tex]ln\frac{m}{n}=ln m-ln n[/tex]

[tex]ln (0.8)-92.4\times 10^{-3}=ln[A][/tex]

[tex][A]=e^{ln0.8-92.4\times 10^{-3}}[/tex]

[tex]ln x=y\implies x=e^y[/tex]

[tex][A]=0.7[/tex] M

Hence, the concentration will be 0.7 M after 14 s

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