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towards an international legal reference environment

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St<strong>an</strong>dard chemical exergy of chemical compounds<br />

Methodology<br />

St<strong>an</strong>dard chemical exergy results from a conventional<br />

assumption of a st<strong>an</strong>dard ambient temperature<br />

<strong>an</strong>d pressure <strong>an</strong>d st<strong>an</strong>dard concentration of <strong>reference</strong><br />

subst<strong>an</strong>ces in the natural <strong>environment</strong>.<br />

The st<strong>an</strong>dard chemical exergy of <strong>an</strong>y chemical<br />

compound c<strong>an</strong> be calculated by me<strong>an</strong>s of the exergy<br />

bal<strong>an</strong>ce of a reversible formation reaction;<br />

bchn = ∆G f +∑ e<br />

ne bchne<br />

(1)<br />

where:<br />

∆G f formation Gibbs energy<br />

ne amount of kmol of the element e<br />

bchne st<strong>an</strong>dard chemical exergy of the element.<br />

If the chemical element does not belong to the <strong>reference</strong><br />

subst<strong>an</strong>ces, its st<strong>an</strong>dard chemical exergy c<strong>an</strong><br />

also be calculated from Eq. 1, however, a <strong>reference</strong><br />

reaction of this element should be formulated. This<br />

reaction contains only <strong>reference</strong> subst<strong>an</strong>ces, additional<br />

as react<strong>an</strong>ts <strong>an</strong>d final as products. For example,<br />

following <strong>reference</strong> reaction holds for the element<br />

C: C+O2 = CO2, where O2 is the additional<br />

<strong>an</strong>d CO2 the final <strong>reference</strong> subst<strong>an</strong>ce. The st<strong>an</strong>dard<br />

chemical exergy of the <strong>reference</strong> subst<strong>an</strong>ces are calculated<br />

prior to the st<strong>an</strong>dard chemical exergy of the<br />

element.<br />

Discussion of the variables used<br />

The formation Gibbs energy used by Szargut [12]<br />

was revised by Rivero [14] using [15], [16], [17],<br />

[18] <strong>an</strong>d [19]. No subst<strong>an</strong>tial differences were<br />

found, except for sillim<strong>an</strong>ite (Al2SiO5), whose new<br />

value is ∆G f = 2440,9 kJ/mol. The information<br />

source of R<strong>an</strong>z [13] for obtaining ∆G f , was Faure<br />

[20], which is a compilation of the literature from<br />

several authors. This source corroborates Rivero’s<br />

revision <strong>an</strong>d thus, it will be considered for the calculation<br />

of our particular R.E.<br />

Gaseous <strong>reference</strong> subst<strong>an</strong>ces<br />

Methodology<br />

Free chemical elements present in the atmospheric<br />

air (O2, N2, Ar, He, Ne, Kr, Xe) <strong>an</strong>d the compounds<br />

H2O, CO2 are assumed as <strong>reference</strong> sub-<br />

st<strong>an</strong>ces. Their st<strong>an</strong>dard chemical exergy results from<br />

the conventional st<strong>an</strong>dard concentration in the atmosphere;<br />

bchn = −RT0 ln P0n<br />

= −RT0 ln z0<br />

Pn<br />

(2)<br />

where:<br />

R gas const<strong>an</strong>t,<br />

T0 st<strong>an</strong>dard ambient temperature (298,15 K),<br />

P0n conventional me<strong>an</strong> ideal gas partial pressure<br />

in the atmosphere (kPa),<br />

Pn st<strong>an</strong>dard pressure (101,325 kPa),<br />

z0 conventional st<strong>an</strong>dard molar fraction in the<br />

<strong>environment</strong>.<br />

The values of st<strong>an</strong>dard chemical exergy of gaseous<br />

<strong>reference</strong> subst<strong>an</strong>ces O2, H2O, CO2, N2 are calculated<br />

before other values because they are necessary<br />

in the calculation of st<strong>an</strong>dard chemical exergy of<br />

non-gaseous <strong>reference</strong> subst<strong>an</strong>ces.<br />

Discussion of the variables used<br />

The universal gas const<strong>an</strong>t is used (8,3143 kJ/(kmol<br />

K)) <strong>an</strong>d the calculated st<strong>an</strong>dard chemical exergy relates<br />

to 1 kmol. Rivero <strong>an</strong>d Garfias [14] accepted<br />

the <strong>reference</strong> pressure according to the conventional<br />

unit “physical atmosphere”, thus 101,325 kPa. We<br />

are assuming the me<strong>an</strong> partial pressure calculated by<br />

Szargut <strong>an</strong>d used by R<strong>an</strong>z [13], which is the really<br />

appearing me<strong>an</strong> value <strong>an</strong>d is equal to 99,31 kPa.<br />

Table 2 shows the results obtained in this study for<br />

the chemical exergy of the gaseous subst<strong>an</strong>ces. The<br />

obtained values are the same of those obtained by<br />

Szargut [12] <strong>an</strong>d Valero, R<strong>an</strong>z <strong>an</strong>d Botero [2], since<br />

the methodology <strong>an</strong>d the values used for this R.E.<br />

has been the same. The differences with Rivero <strong>an</strong>d<br />

Garfias [14] are due to the different partial pressures<br />

in the atmosphere taken.<br />

Solid <strong>reference</strong> subst<strong>an</strong>ces<br />

Methodology<br />

For a prevailing part of chemical elements, solid<br />

R.S. commonly appearing in the external layer of<br />

the continental part of Earth’s crust, have been assumed.<br />

However, the Earth’s crust is a very complicated<br />

mixture of solid solutions <strong>an</strong>d <strong>an</strong> exact calculation<br />

of the chemical exergy of its components<br />

is impossible. We c<strong>an</strong> only approximately evaluate

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