Measurement Method; Calculating O Concentration - Teledyne 400E Instruction Manual

Ozone analyzer
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THEORY OF OPERATION

10.1. Measurement Method

10.1.1. Calculating O
The basic principle by which the Model 400E Ozone Analyzer works is called Beer's
Law (also referred to as the Beer-Lambert equation). It defines the how light of a
specific wavelength is absorbed by a particular gas molecule over a certain distance
at a given temperature and pressure. The mathematical relationship between these
three parameters for gasses at Standard Temperature and Pressure (STP) is:
-αLC
I=I
e
O
Where:
I
o is the intensity of the light if there was no absorption.
I
is the intensity with absorption.
L
is the absorption path, or the distance the light travels as it is being
absorbed.
C
is the concentration of the absorbing gas. In the case of the Model 400E,
Ozone (O
a
is the absorption coefficient that tells how well O
wavelength of interest.
To solve this equation for C, the concentration of the absorbing Gas (in this case
O
), the application of a little algebra is required to rearrange the equation as
3
follows:
I
=
C
ln
I
Unfortunately, both ambient temperature and pressure influence the density of the
sample gas and therefore the number of ozone molecules present in the absorption
tube thus changing the amount of light absorbed.
218
Concentration
3
at STP
).
3
1
× 
 
 
o
α
L
at STP
Model 400E Ozone Analyzer
Instruction Manual
absorbs light at the specific
3
P/N 04316 Rev: B

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