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The DT034 Colorimeter is designed to determine the
concentration of a solution by analyzing its color intensity.
Monochromatic light from an LED light source passes through a cuvette
containing a solution sample, as shown in Figure 1. Some of the incoming
light is absorbed by the solution. As a result, light of a lower intensity
strikes a photodiode.
The amount of light that penetrates a solution is known as transmittance. Transmittance can be expressed as the ratio of the intensity of the transmitted light, It and the initial intensity of the light beam, Io, as expressed by the formula:
T=It/Io
The Colorimeter produces an output voltage, which varies in a linear way with transmittance, allowing a computer to monitor transmittance data for a solution. The transmittance of the sample varies logarithmically (base ten) with the product of three factors: E, the molar absorptivity of the solution, b, the cell or cuvette width, and C, the molar concentration.
log(l/T)= EbC
In addition, many experiments designed to use a colorimeter require a related measurement, absorbance. At first glance, the relationship between transmittance and absorbance would appear to be a simple inverse relationship. That is, as the amount of light transmitted by a solution increases, the amount of light absorbed might be expected to decrease proportionally. But the true relationship between these two variables is inverse and logarithmic (base 10). It can be expressed as:
A=log(l/T)
Combining the two previous equations, the following expression is obtained:
A = EbC
In effect, this formula implies that the light absorbed by a solution depends on the absorbing ability of the solute, the distance traveled by the light through the solution, and the concentration of the solution. For a given solution contained in a cuvette with a constant cell width, one can assume E and b to be constant. This leads to the equation:
A = kC (Beer's law)
Where k is a proportionality constant. This equation shows absorbance to be related directly to concentration and represents a mathematical statement of Beer's law. Beer's law is discussed in more detail later. In this guide, transmittance is expressed as percent transmittance or %T. Since T = %T/100, the formula can be rewritten as:
A = log(100/%T) or A = 2 - log%T
You can select three LED light colors with the Colorimeter: Blue (470 nm or 4700 Angstram), green (565 nm or 5650 Angstram) and red (635 nm or 6350 Angstram). You can select one of these three nearly monochromatic colors using the wavelength selection knob on the top left of the colorimeter (see Figure 3). There are several ways you can decide which of the three wavelengths to use:
In order to properly work with the MultiLog, the Colorimeter should be defined
as a "new sensor". Actually each of its colors should be defined as a "new sensor".
Please refer to chapter 2.2.5 in the MultiLog User Manual, for instructions.
We recommend that you recalibrate every time you perform a new colorimetry experiment
or change the wavelength within an experiment. Though it is possible to save
a calibration for future use, you will certainly see improved results if you
recalibrate prior to doing a new experiment. A zero percent calibration is
done with no light passing through a cuvette. The wavelength knob on
the colorimeter is turned to "O% T" (see Figure 3). In this position the MultiLog
can read data from the Colorimeter, but the light source is turned off. Since
the light is off, it makes no difference if a cuvette is in the cuvette slot.
A 100% calibration is done with the wavelength knob turned to select one of
the three LED wavelengths. This turns on the red, green, or blue LED. A blank
is placed in the cuvette slot. The blank is a cuvette containing the solvent
used in the solution being studied, usually distilled water. The blank acts
as a control by taking into account the small amount of light absorbed by the
solvent and by the walls of the cuvette.
Follow these steps to calibrate the Colorimeter:
After this process
is done proceed with the "Define Custom Sensor" dialog box (Para 2.2.5
in the MultiLog User's Manual). In the Volts section you should input
the voltage values you noted and in the measured units you should enter "0"
and "100" respectively. In order for the DB-Lab software to be compatible with the right Colorimeter values, please choose from the DB-Lab software. During this process the MultiLog's LCD reads the actual voltage output from the Colorimeter, for both the 0% and 100%. These voltage values should be entered as the appropriate % values. This process should be done for each color.
The
Colorimeter is designed to use polystyrene cuvettes. Fifteen of these cuvettes
and lids are supplied with the colorimeter. The cuvettes have a volume of
approximately 4 ml. The cuvette Slot of the colorimeter is designed to give a
snug fit to the cuvette and ensure that it is always in precisely the same
position between the LED light source and photodiode. Two opposite sides of the
cuvette are ribbed and are not intended to transmit the light from the LED. The
two smooth surfaces are intended to transmit light. It is important to position
the cuvette correctly in the colorimeter. We recommend this be done as shown in
Figure 4, with the ribbed edges facing away from and toward you, and the
smooth edges facing left and right. The light travels from left to right from
the LED through the cuvette to the photodiode. It should also be noted that
there is often a small variation in the amount of light absorbed by the cuvette
if it is rotated 180? between trials. To avoid this, you should use a
water-proof marker to make a reference mark on the right side of the top edge of
the cuvette as shown in Figure 4. Or you can etch a reference mark using the hot
tip of a soldering iron. Remind students to align this reference mark with the
white reference mark on the top right side of the colorimeter each time they
insert a cuvette.
Just like most spectrophotometer sample tubes, individual plastic cuvettes
vary slightly in the amount of light they absorb. You may choose to ignore these
differences. For most lab exercises, this variation will not have a noticeable
effect on experimental results.
For best results, variation in light absorbed
by individual cuvettes can be controlled either by using the same cuvette for
all trials of a particular experiment or by matching a set of cuvettes.
The
easiest and most reliable is the first method. If a student is going to use five
trials for a Beer's law experiment, the five standard solutions can be
transferred to the same cuvette for each trial. This requires that the cuvette
be clean and dry after each trial or rinsed several times with the solution that
will be added to it. This method takes very little time and successfully
controls a potential variable. It also eliminates concerns over possible
scratches that may eventually develop on a cuvette. The effect of the same small
scratch is eliminated using the 100% calibration.
As an alternative, you may
choose to match cuvettes. Matched cuvettes are a set of cuvettes that all absorb
light (when empty) at approximately the same level. This involves more work on
the part of the teacher, but saves time in student procedures. If students have
5 or 6 cuvettes with similar absorbance levels, then each sample can be added to
a different cuvette, eliminating the drying or rinsing step described in the
previous paragraph. To match a set of cuvettes, first calibrate the colorimeter
using the method described in the section on calibration, Use a clean, dry
cuvette for the 100% calibration instead of a distilled water blank. Put a
reference mark on one of the clear sides of the cuvette so it is always oriented
the same way in the cuvette slot. Place each cuvette in the batch in the
Colorimeter and record transmittance values for each. When you are finished,
group cuvettes according to similar %T values. Each of these groups represents a
set of matched cuvettes.
Caps are supplied for the original 15 cuvettes. A
cuvette may or may not have a cap on it when placed in the Colorimeter. The
purpose of the cap is to prevent evaporation of solvent when an experiment is
run over a period of several days. You may find it convenient to store standard
solutions in capped cuvettes. If you purchase a replacement set of 100 cuvettes,
20 caps will be included. We felt teachers would probably not need
to have one cap
per cuvette. The caps can certainly be reused as cuvettes are replaced. It is
very important that solutions be added to a cuvette to the proper depth. Our
studies have shown that a "safe level" is between 2.2 and 3.5 mL of solution.
When the cuvette is filled to the brim, its total volume is about 4.1 mL. Since
the inside diameter of the cuvette is about 1.0 cm x 1.0 cm, this safe level can
also be measured on the outside of the cuvette as 2.2-3.5 cm from the inside
bottom of the cuvette. These levels are shown in Figure 5. As a reminder
to students, these two levels could be marked with a water-proof marker on one
of the ribbed sides of each cuvette.
BEER'S LAW
Absorbance; 28% to 90%