User Manual

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IPN 074-289L
Composer Operating Manual
[6]
In practice, the exact value of
L is unimportant. Composition is computed from
knowledge of the mixture's frequency relative to the frequency of the pure gas
as follows. Let:
[7]
[8]
[9]
Applying equations 7, 8, and 9 into equations 3 and 4 yields,
[10]
[11]
If we define the speed of sound in the majority, or carrier, gas as
C
2
[12]
and apply equations 9 and 10 into equation 4 we get:
[13]
Since the speed of sound in a fixed resonator is directly proportional to the
frequency of resonance, we define a ratio:
[14]
Where
f and f
2
are the resonant frequencies of the mixture and pure gas,
respectively.
f
C
2L
-------=
m
M
1
M
2
--------=
g
γ
1
γ
2
-----=
h
1
γ
2
-----=
MM
2
m1–()x1+{}=
γ 1=
γ
2
gh–()1h–(){}
x1 g–()gh–()+{}
--------------------------------------------------+
C
2
γ
2
RT
M
2
-------------=
c
2
c
2
2
h
gh–()1h–()
x1 g–()gh–()+
-------------------------------------------+


1m1–()x+[]
1–
=
λ
C
C
2
------


2
f
f
2
----


2
==