The Rosin-Rammler-Bennet (RRB) equation is used to described size distribution in fine dust F(x) represents the cumulative mass of dust particles of diameter x and smaller. x’ and n’ are constants equal to 30 μm and 1.44, respectively. The mass density distribution ƒ(x) or the mass of dust particles of a diameter x is found by talking the derivative of the cumulative distribution

(a) Numerically calculate the mass density distribution ƒ(x) and graph both ƒ(x) and the cumulative distribution F(x).

(b) Using your results from part (a), calculate the mode size of the mass density distribution—that is, the size at witch the derivative of ƒ(x) is equal to zero.

(c) Find the surface area per mass of the dust S_m (cm²/g) using

The equation is valid only for spherical particles. Assume a density p = 1 g cm^-3 and a minimum diameter of dust included in the distribution d_min of 1 μm.

Transcribed Image Text:

dF(x) f(x) = dx F(x) = 1-ela/s'y