V
olume
x F
raction
=
Mass of Gas
Mass of Gas of V
T
= sum of gas masses
of V
A
and V
D
V
D
V
T
V
T
x F
E
CO
2
=
V
A
x F
A
CO
2
+
V
D
X
F
D
CO
2
V
A
Since F
D
CO
2
= 0
V
A
=
(V
T
x F
E
CO
2
) / (
F
A
CO
2
)
Since V
A
= V
T
- V
D
(F
A
CO
2
- F
E
CO
2
)
V
D
=
V
T
F
A
CO
2