General procedures are outlined for the simulation and propagation of
random and systematic errors in thermophysical property experiments. D
ensity second virial coefficients B(T) from sonic velocity and Joule-T
homson (J-T) experiments are examined for error propagation where the
connecting thermodynamic identity is a differential equation with miss
ing boundary conditions. A recent controversy is addressed concerning
B(T) at subcritical temperatures for pure hydrocarbon gases from direc
t density measurements vs. new sonic velocity data. Sonic velocity res
ults are more likely correct with adsorption errors causing the proble
m in the density measurements. Two new model consistency tests are dev
eloped for checking assumed temperature models in the reduction of son
ic velocity and J-T data to B(T). Excellent values of B(T) are then ob
tained from either type of data when the original experiments are free
of errors. Random errors propagate systematically when the connecting
equation is a differential equation. Sonic data must be of high preci
sion (+/- 10 ppm) to generate B(T) to +/- 1 cm(3)/mol due to complicat
ions in data reduction arising from the temperature model/random error
interaction. Except perhaps for adsorption errors, systematic errors
in the sonic velocities are unimportant to B(T). J-T data provide prop
agation factors near unity with errors in B(T) higher at higher temper
ature, unlike sonic velocities.