Consider a sample of cylindrical particles with circular cross-section of diameter D and with varying length L. The sample contains 99% (by weight) of coarse particles with length of 1 mm and 1% (by weight) of fine particles with length of 50 um. The value of diameter D is equal to 10um, independent of the particle length. The density of particles is 1400 kg/m3 . (a) Calculate the number fraction and the volume fraction of coarse particles in the sample. (b) Calculate the surface area per unit mass of coarse particles and fine particles, respectively. (c) Determine the surface equivalent sphere diameter ds of coarse particles and fine particles, respectively
Consider a sample of cylindrical particles with circular cross-section of diameter D and with varying length L. The sample contains 99% (by weight) of coarse particles with length of 1 mm and 1% (by weight) of fine particles with length of 50 um. The value of diameter D is equal to 10um, independent of the particle length. The density of particles is 1400 kg/m3 . (a) Calculate the number fraction and the volume fraction of coarse particles in the sample. (b) Calculate the surface area per unit mass of coarse particles and fine particles, respectively. (c) Determine the surface equivalent sphere diameter ds of coarse particles and fine particles, respectively. (d) Calculate the number weighted mean of ds and the volume weighted mean of ds for the sample.
answers = W2/T5 (a) 0.832 ; 0.99 (b) 287 m2 /kg ; 314 m2 /kg (c) 1 x 10-4 m ; 2.35 x 10-5 m (d) d1,0 = 8.71 x 10-5 m ; d4,3 = 9.92 x 10-5 m
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