Simultaneous determination of mass and volume of a set of weights in group weighing

Abstract

This work introduces a new technique for the determination of mass and volume of a set of weights based on closed series (group weighing). A traditional closed series is repeated at two different air densities. A least squares set of equations, involving two Lagrange multipliers, is used to determine the mass and the volume of each weight simultaneously with a traceability on the mass and the volume of the reference weight.