The figure below depicts a cascade connection of a 3-point running average filte

Question

The figure below depicts a cascade connection of a 3-point running average filter with a 2-point running average, in which the output yjn] of the first filter is the input x2[n] to the second filter, and the output y2[n] of the second filter is the overall output y[n] Sketch a stem plot of the impulse response/ix [n] of the 3-point running average filter. Find the impulse response h[n] of the overall cascaded system (from x[n) to y[n]). Specify your answer in the form of a carefully labeled stem plot of h[n] versus n. Which pair of ions would not be expected to form a precipitate when dilute solutions of each are mixed? a) Al3+, NO3- b) Hg2+ Cl- c) Ba2+, SO4* d) Ca2+, SO42'

Explanation / Answer

Solubility Rules:
1. Salts of group 1 and ammonia are soluble.
2. Acetates and nitrates are soluble.
3. Binary compounds of group 17, except F, are soluble with metals,
except Ag, Hg+, and Pb.
4. All sulfates are soluble, except those of Ba, Sr, Pb, Ca, Ag, and Hg+ .
5. Except for those in rule 1, carbonates, hydroxides, oxides, sulfides,
and phosphates are insoluble.

a) AgNO3 --------Soluble, rule 3, do not form precipitate

b)  HgCl -----------Soluble, rule 2,    do not form precipitate

c) BaSO4 ----------Insoluble, rule 4 ,  form precipitate

d)  CaSO4 ----------Insoluble, rule 4 , form precipitate

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