... this. Size Distributions Frequency (f(x)) and cumulative (F(x)) distributions Particle size distributions F(x) or f(x) (=dF/dx) (see Fig. 1) can be represented as a function of particle number (fn(x)) length (fl(x)) surface area (fa(x)) mass (fm(x)) or volume fv(x)) The integral of this function over the size range 0 to ? is unity (often expressed as 100%). Frequency in a given size interval (dx) is synonymous with the proportion of the total population in that interval. ? ? F(x)dx = 1 [1] 0 Interconversion of size distributions from one basis to (volume to number) another is possible when (i) particle density is independent of particle size. (ii) particle shape is independent of particle size. Frequency data are often presented in the form of a histogram. Cumulative data may be presented either as a histogram or as a continuous curve Problem: The scale on the ordinate of Fig. 1 is incorrect use Eqn. 1 to estimate the appropriate scale. Example Conversion Convert (dF/dx)v ...

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