Elimination of ethanol from the blood is known to have zeroth order kinetics. Provided no more ethanol enters the blood, the concentration of ethanol in a person's dM blood will therefore obey the differential equation = - ko, where for a certain adult ko = 0.186 g/liter/hr. Complete parts (a) through (c) below. 'A. The differential equation is negative and at M(t) = 0 there is no ethanol left in the body. B. The differential equation is positive and at M(t) = 0 there is no ethanol left in the body. C. The differential equation becomes undefined at M(t) = 0. O D. M(t) = 0 does not exist. (b) If a person's blood alcohol concentration is 1.6 g/liter at midnight, what will his or her blood alcohol concentration be at 6 AM? You may assume that he or she drinks no more alcohol after midnight. His or her blood alcohol concentration will be 0.484 at 6 AM. (Type an integer or decimal rounded to three decimal places as needed.) (c) At what time will their blood alcohol concentration drop to 0 g/liter? Their blood alcohol concentration will drop to 0 g/liter by (Round to the nearest minute as needed.)
Elimination of ethanol from the blood is known to have zeroth order kinetics. Provided no more ethanol enters the blood, the concentration of ethanol in a person's dM blood will therefore obey the differential equation = - ko, where for a certain adult ko = 0.186 g/liter/hr. Complete parts (a) through (c) below. 'A. The differential equation is negative and at M(t) = 0 there is no ethanol left in the body. B. The differential equation is positive and at M(t) = 0 there is no ethanol left in the body. C. The differential equation becomes undefined at M(t) = 0. O D. M(t) = 0 does not exist. (b) If a person's blood alcohol concentration is 1.6 g/liter at midnight, what will his or her blood alcohol concentration be at 6 AM? You may assume that he or she drinks no more alcohol after midnight. His or her blood alcohol concentration will be 0.484 at 6 AM. (Type an integer or decimal rounded to three decimal places as needed.) (c) At what time will their blood alcohol concentration drop to 0 g/liter? Their blood alcohol concentration will drop to 0 g/liter by (Round to the nearest minute as needed.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Elimination of ethanol from the blood is known to have zeroth order kinetics. Provided no more ethanol enters the blood, the concentration of ethanol in a person's
blood will therefore obey the differential equation
dM
= - ko, where for a certain adult ko = 0.186 g/liter/hr. Complete parts (a) through (c) below.
dt
'A. The differential equation is negative and at M(t) = 0 there is no ethanol left in the body.
B. The differential equation is positive and at M(t) = 0 there is no ethanol left in the body.
O C. The differential equation becomes undefined at M(t) = 0.
D. M(t) = 0 does not exist.
(b) If a person's blood alcohol concentration is 1.6 g/liter at midnight, what will his or her blood alcohol concentration be at 6 AM? You may assume that he or she
drinks no more alcohol after midnight.
His or her blood alcohol concentration will be 0.484 at 6 AM.
(Type an integer or decimal rounded to three decimal places as needed.)
(c) At what time will their blood alcohol concentration drop to 0 g/liter?
Their blood alcohol concentration will drop to 0 g/liter by
(Round to the nearest minute as needed.)
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