Biomedical Engineering Reference
In-Depth Information
The volume fraction of a gas can be found by noting that the volume that
1 kmol of any gas occupies at normal temperature and pressure (NTP) (at 0 C
and 1 atm)
is 22.4 m 3 . So,
taking the example of hydrogen,
the volume of
1 kmol of hydrogen in the gas mixture is 22.4 nm 3 at NTP.
The total volume of the gas mixture is V
summation of volumes of all con-
5
5 P ([number of moles (n i )
22.4])/nm 3
stituting gases in the mixture
22.4n.
The volume fraction of hydrogen in the mixture is volume of hydrogen/total
volume of the mixture:
3
5
22
:
4n H
n h
n 5
4 P n i 5
V H
x H
(iv)
5
22
:
Thus, we note that:
mole fraction
The partial pressure of a gas is the pressure it exerts if it occupies the entire
mixture volume V. Ideal gas law gives the partial pressure of a gas component,
i,as
Volume fraction
5
n i RT
V
P i 5
P a
The total pressure, P, of the gas mixture containing total moles, n,is
n RT
V
P
5
So we can write:
n i
n 5
p i
p 5
v i
V
x i
(v)
5
Partial pressure as fraction of total pressure
mole fraction
volume fraction.
5
5
x H P.
The molecular weight of the mixture gas, MW m , is known from the mass
fraction and the molecular weight of individual gas species
The partial pressure of hydrogen is P H
5
X
MW m
½
x i MW i
(vi)
5
where MW i is the molecular weight of gas component i with mole fraction x i .
SYMBOLS AND NOMENCLATURE
ASH
weight percentage of ash (%)
C
weight percentage of carbon (%)
C p
specific heat of biomass (J/g K)
specific heat of biomass at temperature θ C (J/g C)
C p θ
C w
specific heat of water (J/g K)
d pore
pore diameter (m)
e rad
emissivity in the pores (
)
FC
weight percentage of fixed carbon (%)
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