   Chapter 11.2, Problem 70E

Chapter
Section
Textbook Problem

# A patient is injected with a drug every 12 hours. Immediately before each injection the concentration of the drug has been reduced by 90% and the new dose increases the concentration by 1.5 mg/L. (a) What is the concentration after three doses? (b) If Cn is the concentration after the nth dose, find a formula for Cn as a function of n. (c) What is the limiting value of the concentration?

(a)

To determine

To find: The concentration after the third injection.

Explanation

The concentration after the first injection is C1=1.5 mg/L.

Note that, the reduction of 90% in the concentration of the drug for each injection is same as 10% of the remaining concentration level of the drug.

The concentration after the second injection is,

C2=1.5+(10% of the first injection)=1.5+(10100×1.5)=1.5+0

(b)

To determine

To find: The formula for Cn as a function of n.

(c)

To determine

To find: The limit value of the concentration.

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