Now when t=0, Ct =Co, where Co is the initial concentration of solute.
Thus, k = log Co and 
or 
Consequently, if the logarithm of the detector output is plotted against time, then, for a truly linear detector, a straight line will be produced having a slope (Q/V). If the detector has a response index of (r) and the slope of the line is (j), then
The accuracy of the measurement will depend on the flow rate remaining constant throughout the calibration, and, consequently, a precision flow controller must be employed. Manufacturers do not usually provide the response indices for their detectors and so it is left to the analysts to measure it for themselves. Thus,
"the linear dynamic range of a detector is that range of concentration of a solute over which the response index lies between 0.98 and 1.02."
