Gemini VII
Appendix C
239-42828-01 - Dec 2012
C-27
Dubinin-Radushkevich
V
log
Vo
B
T
2
---------------
Po
P
-------
log
2
–
log
=
The Dubinin-Radushkevich
13
equation is as follows:
where:
V
=
volume adsorbed at equilibrium pressure (cm
3
/g STP)
Vo
=
the micropore capacity (cm
3
/g STP)
Po
=
saturation vapor pressure of gas at temperature T (mmHg)
P
=
equilibrium pressure (mmHg)
B
=
a constant
=
the affinity coefficient of analysis gas relative to Po gas
(for this application
is taken to be 1)
T
=
analysis bath temperature (K), from the Po and Temperature Options dialog
For each point designated for Dubinin-Radushkevich calculations, the following calculations are done:
LV = log (V)
LP
Po
P
-------
2
log
=
The intercept, log(Vo) can be found by performing a least-squares fit on the (LP,LV) designated pairs
where LP is the independent variable and LV is the dependent variable. Assuming the adsorption of
gas is restricted to a monolayer, Vo is the monolayer capacity. Based on this assumption, the following
are calculated:
a.) Slope (S cm
3
/g STP)
b.) Y-intercept (YI cm
3
/g STP)
c.) Error of the slope (S
ERR
cm
3
/g STP)
d.) Error of the y-intercept (YI
ERR
cm
3
/g STP)
e.) Correlation coefficient
Using the results of the above calculations, the following can be calculated:
Monolayer Capacity (cm
3
/g STP):
Vo = 10
YI
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