An interesting pair of consequative reactions involve the absorption of ethyl al

Question

An interesting pair of consequative reactions involve the absorption of ethyl alcohol by the body, which is a first-order process, and the subsequent oxidation of alcohol to acetaldehyde by liver alchol dehydrogenase (LDH), which is a zeroth-order process. The differential changes in the three states of ethanol can be described as: -((d[A])/(dt))=k1[A], ((d[B])/dt)=k1[A]-k2, ((d[C])/dt)=k2. (a) What do A, B, and C represent in this example? (b) Determine an integrated form of [B] over time. Do this by finding an expression for [A], substitute for [A] in the second equation, arrange the infinitesimals, and integrate one side over [B] and the other over t.

Explanation / Answer

we are given

dA/dt=-k1A

dA=-k1Adt

A=-k1At

we are also given

dB=(k1A-k2)dt

putting value of A and then integreting over t

we get integreted form of B over time

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