Homework Help is Here – Start Your Trial Now!
Science
Advanced Physics
11. Blood Alcohol Content This question is about elimination of al- cohol from the blood. The elimination of ethanol from the blood is generally believed to have zeroth order kinetics, meaning that the rate of elimination is a constant, independent of the concen- tration. (a) Explain why it follows if no alcohol is being drunk, the blood alcohol concentration is described by the differential equation: dc -ko c(0) = co dt where ko and co are both constants, which vary from person to person and depend on how much alcohol the patient has consumed. (b) Verify that a solution to this equation is c(t) = co – kot.

11. Blood Alcohol Content This question is about elimination of al- cohol from the blood. The elimination of ethanol from the blood is generally believed to have zeroth order kinetics, meaning that the rate of elimination is a constant, independent of the concen- tration. (a) Explain why it follows if no alcohol is being drunk, the blood alcohol concentration is described by the differential equation: dc -ko c(0) = co dt where ko and co are both constants, which vary from person to person and depend on how much alcohol the patient has consumed. (b) Verify that a solution to this equation is c(t) = co – kot.

icon
Related questions
Question
(c) At midnight after a boozy party in the math department Prof. R's blood alcohol concentration is c = 1.500 g/liter. Assuming ko = 0.186 g/(liter hr) (see Problem 12 for more discussion of this value), what is Prof. R.'s blood concentration at 2 am? %3D (d) When does Prof. R.'s blood alcohol concentration return to 0 g/liter? (e) In the United States, the legal limit for driving is 0.8 g/liter. At what time can Prof. R. legally drive?
Transcribed Image Text:(c) At midnight after a boozy party in the math department Prof. R's blood alcohol concentration is c = 1.500 g/liter. Assuming ko = 0.186 g/(liter hr) (see Problem 12 for more discussion of this value), what is Prof. R.'s blood concentration at 2 am? %3D (d) When does Prof. R.'s blood alcohol concentration return to 0 g/liter? (e) In the United States, the legal limit for driving is 0.8 g/liter. At what time can Prof. R. legally drive?
11. Blood Alcohol Content This question is about elimination of al- cohol from the blood. The elimination of ethanol from the blood is generally believed to have zeroth order kinetics, meaning that the rate of elimination is a constant, independent of the concen- tration. (a) Explain why it follows if no alcohol is being drunk, the blood alcohol concentration is described by the differential equation: dc -ko , c(0) = co dt where ko and co are both constants, which vary from person to person and depend on how much alcohol the patient has consumed. (b) Verify that a solution to this equation is c(t) = co – kot.
Transcribed Image Text:11. Blood Alcohol Content This question is about elimination of al- cohol from the blood. The elimination of ethanol from the blood is generally believed to have zeroth order kinetics, meaning that the rate of elimination is a constant, independent of the concen- tration. (a) Explain why it follows if no alcohol is being drunk, the blood alcohol concentration is described by the differential equation: dc -ko , c(0) = co dt where ko and co are both constants, which vary from person to person and depend on how much alcohol the patient has consumed. (b) Verify that a solution to this equation is c(t) = co – kot.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer