The rate of conversion for a reaction occurring in a closed system is defined as the
time derivative of the
extent of reaction:
In view of the definition of
extent of reaction it follows that with reference to any species in a reaction showing time-independent
stoichiometry
where

is the amount of the species at any time
and

is its
stoichiometriccoefficient.
Source:
PAC, 1996, 68, 149
(A glossary of terms used in chemical kinetics, including reaction dynamics (IUPAC
Recommendations 1996))
on page 180
PAC, 1992, 64, 1569
(Quantities and units for metabolic processes as a function of time (IUPAC Recommendations
1992))
on page 1573
PAC, 1996, 68, 957
(Glossary of terms in quantities and units in Clinical Chemistry (IUPAC-IFCC Recommendations
1996))
on page 989