trimblehope trimblehope
  • 14-06-2021
  • Chemistry
contestada

A certain first-order reaction is 27.5 percent complete in 8.90 min at 25°C. What is its rate constant?

Respuesta :

sebassandin
sebassandin sebassandin
  • 19-06-2021

Answer:

[tex]k= 0.145min^{-1}[/tex]

Explanation:

Hello there!

In this case, according to the given information, it turns out necessary for us remember that the first-order kinetics is given by:

[tex]ln(A/A_0)=-kt[/tex]

Whereas the 27.5% complete means A/Ao=0.275, and thus, we solve for the rate constant as follows:

[tex]k=\frac{ln(A/A_0)}{-t}[/tex]

Then, we plug in the variables to obtain:

[tex]k=\frac{ln(0.275)}{-8.90min}\\\\k= 0.145min^{-1}[/tex]

Regards!

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