Alcohol Concentration Lab Report

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In this scatter graph of the data, the blood alcohol concentration’s pattern with relations to time is easy to identify as it reaches a peak rapidly and gradually decreases.

With this basic relationship in mind, I will now address assumptions I am making for my model to work and not involve highly complicated factors.

Model Assumptions:
Assume the assimilation of alcohol in our gastrointestinal tract (stomach and intestines) is a process of first-order kinetics, which means that the alcohol assimilation rate in our gastrointestinal tract is positively proportional to the amount of alcohol in our gastrointestinal tract;
Ignore the fact that there is a delay in time between the consumption of alcohol until the digestion of alcohol;
Ignore …show more content…

Symbols for this model:
n: Number of drinks;
m: Alcohol concentration per bottle (mg);
f: Alcohol absorption rate;
r: The times of drinking when drinking multiple portions/times;
V: Volume of person’s body fluid (deciliter/100mL);
kο: Alcohol absorption constant;
k: Alcohol removal constant;
Ai: Blood alcohol concentration before the ith time drinking;
Wi: Gastrointestinal tract alcohol concentration before the ith time …show more content…

It is obvious, that the reasons X’s blood alcohol concentration was over the limit was that the initial alcohol concentration before he started drinking at lunch and dinner were different, the total duration for each time he drank was different, and the times he drank was different. When the beer was drank within a short period of time, the alcohol amount in X’s gastrointestinal tract would be fnm, and can be solved using first-order kinetics and differential equations, which is something we recently learned in IB Mathematics class. However, when the beer is drank in multiple portions/times with the same time different between each time throughout a long period of time, the question needs to be solved using a superposition method, which is something I learned in Physics but can be easily applied into

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