CHAP. 8: CHEMICAL EQUILIBRIUM [CONTENTS] 229
Solution
Subtracting the left side yields
0 =SO 3 (g)−SO 2 (g)−
1
2
O 2 (g).
If we denote sulphur trioxide with the subscript 1 , sulphur dioxide with the subscript 2 and oxygen
with the subscript 3 , then
R 1 =SO 3 , ν 1 = +1,
R 2 =SO 2 , ν 2 =− 1 ,
R 3 =O 2 , ν 3 =−^12.
8.2.2 Material balance
The record of a chemical reaction reflects the mass conservation law in a closed system. Ma-
terial balance allows for the changes in the amount of substance of individual components
participating in a given reaction to be expressed using a single variableξwhich is called the
extent of reaction
ξ=
ni−ni, 0
νi
, (8.3)
whereni, 0 denotes the initial amount of thei-th substance andξis the extent of reaction.
Note:The extent of reaction is an extensive quantity.
U Main unit:mol.
For the amount of thei-th component in any stage of reaction it holds that
ni=ni, 0 +νiξ. (8.4)
Sometimes also thedegree of conversionα
α=
ni, 0 −ni
ni, 0
=−
ξνi
ni, 0
(8.5)
is used.