Correlating the speed of sound to Gibbs energy and estimation of the
speed of sound in fatty acid methyl ester and biodiesel
Abstract
The relationship between the speed of sound (u) in biodiesel and the
change in Gibbs energy (ΔG) has not been describe in literature. With
the Gibbs energy additivity (GEA ) method, the relation between u and ΔG
can be expressed as lnu2 = ΔG/RT + A, where R is the universal gas
constant; T is absolute temperature and A is constant. Further expansion
of the G to its enthalpy and entropy, and sub-division the molecule of
a fatty and methyl ester (FAME) into groups of atoms, the final model
was good for estimation the speed of sound in both FAME and biodiesel at
various temperatures. Only numbers of double bond and carbon atoms of
fatty acid were required for the calculation.