Formula library

Degree of Conversion at Equilibrium

Degree of Conversion at Equilibrium
\[X_e=\frac{n_0-n_e}{n_0}\]

Variables

Xeequilibrium conversion (fraction)
n0initial amount of reactant (mol)
nereactant amount at equilibrium (mol)

Description

What is this formula?


The degree of conversion at equilibrium represents the fraction of the initial reactant that has been converted into products when chemical equilibrium is reached.


When to use it


Use this formula to evaluate equilibrium-limited reactions, determine maximum achievable conversion, and analyze reversible chemical processes.


Example


Given:


Initial reactant amount = 10.0 mol


Reactant amount at equilibrium = 3.5 mol


Formula:


Xe = (n0 - ne)/n0


Substitution:


Xe = (10.0 - 3.5)/10.0


Result:


Xe = 0.65


The equilibrium conversion is 65%.


Applications


Chemical equilibrium analysis

Reaction engineering

Reactor design

Industrial chemistry

Thermodynamics


Note


Unlike ordinary conversion, which may be measured at any reaction time, equilibrium conversion specifically refers to the conversion obtained when the forward and reverse reaction rates become equal.


The equilibrium conversion depends on temperature, pressure, feed composition, and the equilibrium constant. In many industrial processes, the equilibrium conversion represents the maximum conversion achievable without changing operating conditions or removing products from the system.

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