A precipitation process for producing perfect spheres of silica has been developed. The individual particles are so

Question:

A precipitation process for producing perfect spheres of silica has been developed. The individual particles are so small that most cannot be discerned by the naked eye. Using optical microscopy, the particle-size distribution has been measured, with results given in the table below.

(a) Using these data with a spreadsheet program, produce plots of the differential and cumulative particle-size analyses.
(b) Determine:

(1) Surface-mean diameter,

(2) Arithmetic-mean diameter,

(3) Mass-mean diameter, and

(4) Volume-mean diameter.