Abstract
In the previous chapter, we dealt with postulated products of a hydrocarbon chemical reaction for \(\Phi \le 1\) and for \(\Phi > 1\). The latter case was to be treated specially because it involves postulation of a two-step reaction mechanism (see Eqs. 3.46 and 3.47). The main point is that the postulated product composition was so far sensitized only to the value of \(\Phi \). The purpose of this chapter is to determine the effect of \(\Phi \), p and T on the product composition.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
Equation 4.9 can also be written in terms of total mixture pressure p as
$$\begin{aligned} \overline{g}_{j}= & {} \overline{g^{0}}_{j}\,(p_{ref}, T) + R_{u}\, T\,\left[ \text{ ln }\,\left( \frac{p_{j}}{p}\right) + \text{ ln }\,\left( \frac{p}{p_{ref}}\right) \right] \\= & {} \overline{g^{0}}_{j}\,(p_{ref}, T) + R_{u}\,T\,\left[ \text{ ln }\, x_{j} + \text{ ln }\,\left( \frac{p}{p_{ref}}\right) \right] \,\,. \end{aligned}$$ - 2.
These values are the Gibbs function of formation \(\overline{g^{0}_{f}}_{j}\) at \(T_{ref} = T\), so \(\Delta \overline{g}_{s, j}\,(T) = 0\).
- 3.
It is not necessary that there be two reactants and two products. There may be one reactant or one product. As we shall see later, in some reactions, there may even be three reactants and/or products. Also, A’s may be compounds, or radicals, or even atoms.
- 4.
In a reaction, \(\mathrm{CO} + 0.5\,{\mathrm{O}_{2}} \rightleftharpoons {\mathrm{CO}_{2}}\), \(n_{1} = n_\mathrm{CO} = 1\), \(n_{2} = n_{\mathrm{O}_{2}} = 0.5\), \(n_{3} = n_{ \mathrm{CO}_{2}} = 1\), and \(n_{4} = 0\).
- 5.
The importance of this range will be appreciated later, when flammability limits are considered in Chap. 8.
- 6.
ppm denotes parts per million. 1 ppm \(=\) \(10^{6}\, x\) where x is the mole fraction.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2020 Springer Nature Singapore Pte Ltd.
About this chapter
Cite this chapter
Date, A.W. (2020). Chemical Equilibrium. In: Analytic Combustion. Springer, Singapore. https://doi.org/10.1007/978-981-15-1853-9_4
Download citation
DOI: https://doi.org/10.1007/978-981-15-1853-9_4
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-15-1852-2
Online ISBN: 978-981-15-1853-9
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)