Cannon D155 Instruction & Operation Manual

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Cannon D155 Instruction & Operation Manual Manual pdf 48 page image

45CANNON ® D155 Density Meter Instruction & Operation ManualVersion 1.1c – March 2017; CANNON® Instrument Company2139 High Tech Road • State College, PA • 16803 • USA7-2. Principle of measurement7-2-1. Oscillating U-tube CellWhen a measurement cell filled with liquid or gas is oscillated spontaneously, resultant oscillating cyclevaries with the density of the sample in the measurement cell. The oscillating cycle T is expressedfollows.T dVc McK= +2πwhere,d = Density of sample in measurement cellVc = Volume of sample in measurement cell, or measurement cell internal volumeMc = Mass of measurement cellK = Constantd KVc T McVc= −4 22πSupposing that the oscillating cycles Ta and Tw are obtained through measurement of referencematerials of known density (density da and dw), the facto value F is calculated as follows.F KVcd dT Ta wa w= = −−4 2 2 2πAccordingly, the density “d” of unknown sample can be calculated according to the following formula bymeasuring its oscillating cycle T.d d F T Ta a= − −( )2 2