A new technique, the iso-concentration analysis, has been applied to the spectrophotometry. Two series of aliquots are taken. In the first series, each aliquot contains the same amounts of the substance
x= (
x,
x, …), to be taken to which an incremental amount of the standards is added as
x +
y = (
x+
y1,
x+
y2, …). The second series contains an α times amount of the standards added to the first series,
y' (α
y 1, α
y2…). When all the aliquots of both series are made up to the same volume,
V, the concentration of one of the aliquots in the first series is equal to that of second series. To all aliquots is added the constant amount of reagent which reacts with the species to be determined and forms the colored complex. The absorbance in any aliquot of the first and second series is given as Eqs.(1) and (2), respectively.
Ax+y=ε
kx+y(
x+
y)/
V…(1)
Ay'= ε
ky' α
y/
V…(2)
where
Ax+y and
Ay' are the absorbance. ε is the molar absorptivity, and
kx+y and
ky' are the constants. From both equations one obtains Eq.(3).
α
i (
kx+y/
ky')(1+ (
x /
y)) =(
kx+y/
ky')(1 +
xz) …(3)
where
i =
Ax+y/A
Ay', and
z= 1/
y. The plots of α
i vs.
z show an S-shape curve. All the curves of αi =
f (
z) have a common intersection at the point of
kx+y=
ky', which shows
ik= 1. One obtains Eq.(4).
x=(α-1)/
zk=(α-1)
yk…(4)
The intersection point can be obtained as the intersection of the curve of α
i=
f (
z) with α
i=α. If α = 2,
x is equal to
yk,
i.
e., the amount of substance present in the sample can be determined without using a calibration curve. The method was successfully applied to the determination of antimony using a reaction with Brilliant Green.
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