Determination of k

The first-order elimination rate constant (k) can be determined after iv administration of drugs by:


a- Plotting lnA versus time:


The slope of the resulting line = -k


b- Plotting log A versus time:


The slope of the resulting line = -k/2.303 .


The slope of a straight line is determined by choosing two points on the line and the slope will be:

Slope =

y2 - y1

x2 - x1
X2,Y2
X1,Y1

Plotting the amount of drug in the body versus time on a semilog graph paper will give a straight line.


The Y-intercept is equal to A0 and the slope is -k/2.303 .


However, the slope of the line plotted on a semilog graph paper will be:

Slope =

log y2 - log y1

x2 - x1
A0
= -k 2.303
slope = log y2 - log y1x2-x1