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Carbonic anhydrase is a zinc-based enzyme that catalyzes the conversion of carbon dioxide to carbonic acid. In an experiment to study its eff ect, it was found that the molar concentration of carbon dioxide in solution decreased from 220 mmol dm−3 to 56.0 mmol dm−3 in 1.22 × 104 s. What is the rate constant of the fi rst-order reaction?

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sebassandin

Answer:

[tex]k=1.12x10^{-4}s[/tex]

Explanation:

Hello,

By considering the rate law:

[tex]ln(\frac{[CO_2]}{[CO_2]_0} )=-kt\\[/tex]

Solving for the time, we've got:

[tex]k=-\frac{ln (\frac{[CO_2]}{[CO_2]_0 })}{t}\\\\k=-\frac{ln(\frac{56.0mmol*dm^{-3} }{220mmol*dm^{-3} })}{1.22x10^{4}s }\\  \\k=1.12x10^{-4}s[/tex]

Best regards.