A new apparatus is being set up for measuring the density of mercury at 20
degrees C with a relative uncertainty of 0.5 x 10(-6) by hydrostatic weighi
ng of a sinker of known volume and mass. Two small sinkers of about 50 cm(3
) were calibrated by hydrostatic comparison with silicon density standards.
Thus, in the first stage, a relative uncertainty of 2 x 10(-6) of the merc
ury density can be reached. The quantity of mercury needed for the measurem
ents is 1 1. Also, density comparisons of different mercury samples can be
carried out with a relative uncertainty of 0.5 x 10(-6). To reach a relativ
e uncertainty of 0.5 x 10(-6) in the density of mercury, a 500 cm(3) hollow
cube is to be manufactured from tantalum. Its volume will be determined by
means of an interferometer, with a relative uncertainty of 0.15 X 10(-6).
Measurements will be performed for the gravitation experiment of Zurich Uni
versity using 1 m(3) of mercury, and for mercury samples used in primary pr
essure standards. Design and results of first tests of the hydrostatic weig
hing apparatus are reported.