Drug Concentration Decay Problem

evilpostingmong
Messages
338
Reaction score
0

Homework Statement



The concentration of a particular drug in a patient’s bloodstream declines at a rate proportional
to the concentration, with constant of proportionality k = 0.2 if time is measured in hours. If
the concentration of the drug in the patient’s bloodstream is 10mm/ml (millimoles per milliliter)
shortly after the injections, what will the concentration be 12 hours later?

Homework Equations





The Attempt at a Solution


Just want to know if I set this one up correctly.
dC/dt=-kC
If I didn't, don't be afraid to rip it apart :D.
 
Physics news on Phys.org
That looks like what the problem is asking for all right.
 
Okay, thanks! Then I must've messed up when I integrated it.
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
Back
Top