Figure 2. Upper curve: Oscilloscope trace. ( 0 ) Experimental points obtained from upper curve. (-) Fitted curve: distance vs. time. (---) Velocity vs. timeThe most common method of determining dead times is the extrapolation method ( I ) . It consists of carrying out a chemical reaction in a stopped-flow apparatus, recording the absorbance of the reaction mixture as a function of time, and extrapolating the resulting curve back to zero absorbance. The elapsed time between the time of zero absorbance and the stopping time of the syringes (the intersection of the extrapolated line and the experimental curve) is td'. The quantity td' includes the effects of mixing and stopping times as well as temperature, cavitation, and other artifacts which may degrade the performance of stopped-flow mixing systems. Stewart ( I ) has shown that td' approaches t d in properly operating stopped-flow systems as the reaction half life becomes long with respect to td.Under conditions similar to those used to obtain the datashown in Figure 2, the extrapolation method and the flow velocity method were simultaneously used to acquire data for eight separate pushes of our stopped-flow instrument. The precision of the flow velocity method depends primarily on the precision of the measurement of the period between two peaks in the oscilloscope trace since the dimensions of the stopped-flow unit and the transducer are relatively constant during a push. Replicate determinations of the period of the last two cycles of the transducer (distance = 0.102 cm) before the stop yielded a mean value of 5.25 f 0.09 ms (-+ 1 S), and thus a mean value for u,, of 19.3 f 0.5 cm/s. The mean dead time is then 5.08 f 0.09 ms.The precision of the extrapolation method of determining td' depends on how precisely the reaction rate curve may be extrapolated to zero absorbance. The mean value of the dead time obtained by this method in the comparative study was 5.4 f 0.4 ms. Thus the precision of the extrapolation method was f8%, about four times worse than that of the flow velocity method. The determinant error in the flow velocity method depends upon the accuracies of the time base of the oscilloscope, the dead volume, the ruling, and the cross sectional area of the drive syringes. By estimating tolerances for these quantities and applying the usual propagation of error procedures, we are able to calculate an upper bound of f11% for the range of the accuracy of our method of obtaining td. This value could be improved by using a more accurate time standard such as a crystal controlled period meter for measuring the time between pulses of the transducer or by determining the dimensions of the stopped-flow system more accurately.The ability to assign an upper limit to the determinant error in a dead time measurement is a definite advantage of the flow velocity method over methods requiring calibration procedures such as the initial absorbance method (I), the vane method of Gibson (6), and the potentiometer method of Chance (7). These last two techniques, however, giv...