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Assume a two-stream problem having one portion of the boundary the fuel stream with fuel mass fraction =, and another portion of the boundary the oxidizer stream with oxidizer mass fraction =,. For example, if the oxidizer stream is air and the fuel stream contains only the fuel, then Y O , O = 0.232 {\displaystyle Y_{O,O}=0.232} and Y F , F ...
For example, in the reaction CH 4 + 2 O 2 → CO 2 + 2 H 2 O, the stoichiometric number of CH 4 is −1, the stoichiometric number of O 2 is −2, for CO 2 it would be +1 and for H 2 O it is +2. In more technically precise terms, the stoichiometric number in a chemical reaction system of the i-th component is defined as
Mass fraction can also be expressed, with a denominator of 100, as percentage by mass (in commercial contexts often called percentage by weight, abbreviated wt.% or % w/w; see mass versus weight). It is one way of expressing the composition of a mixture in a dimensionless size ; mole fraction (percentage by moles , mol%) and volume fraction ...
The mass fraction of the resulting solution from mixing solutions with masses m 1 and m 2 and mass fractions w 1 and w 2 is given by: = + + where m 1 can be simplified from numerator and denominator = + + and
For example, a calculation of the mass of natural gas as fuel — which often contains carbon dioxide (CO 2), nitrogen (N 2), and various alkanes — includes the mass of the carbon dioxide, nitrogen and all alkanes in determining the value of m fuel. [2] For pure octane the stoichiometric mixture is approximately 15.1:1, or λ of 1.00 exactly.
In the above, we note that the stoichiometric number of a reactant is negative. Now when we know the extent, we can rearrange the equation and calculate the equilibrium amounts of B and C. n e q u i , i = ξ e q u i ν i + n i n i t i a l , i {\displaystyle n_{equi,i}=\xi _{equi}\nu _{i}+n_{initial,i}}
The steady-state assumption reduces the system to a set of linear equations, which is then solved to find a flux distribution that satisfies the steady-state condition subject to the stoichiometry constraints while maximizing the value of a pseudo-reaction (the objective function) representing the conversion of biomass precursors into biomass.
The stoichiometry of a chemical reaction is based on chemical formulas and equations that provide the quantitative relation between the number of moles of various products and reactants, including yields. [8] Stoichiometric equations are used to determine the limiting reagent or reactant—the reactant that is completely consumed in a reaction ...