The distillation column in fig. 15.8 has the following transfer function model: y′(s) d′(s) = 2e−20s 95s + 1 y′(s) f′(s) = 0.5e−30s 60s + 1 with gv = gm = gt = 1. (a) design a feedforward controller based on a steady-state analysis. (b) design a feedforward controller based on a dynamic analysis. (c) design a pi feedback controller based on the direct synthesis approach of chapter 12 with τc = 30. (d) simulate the closed-loop response to a unit step change in the disturbance variable using feedforward control only and the controllers of parts (a) and (b). does the dynamic controller of part (b) provide a significant improvement? (e) repeat part (d) for the feedforward–feedback control scheme of fig. 15.11 and the controllers of parts (a) and (c), as well as (b) and (c). (f) which control configuration prove?

Nconcentration refers to the molar concentration of an ion in solution. it may be identical to, or greater or less than, the molar concentration of the compound containing the ion that was used to make the solution. for soluble salts, the molarity of a particular ion is equal to the molarity of that compound times the subscript for that ion. for example, 1 m of alcl3 is 1 m in al3+ and 3 m in cl−. 1 m of (nh4)2so4 is 2 m in nh4+ and 1 m in so42−. part a what is the concentration of k+ in 0.15 m of k2s? view available hint(s) nothing m m part b if cacl2 is dissolved in water, what can be said about the concentration of the ca2+ ion? view available hint(s) if is dissolved in water, what can be said about the concentration of the ion? it has the same concentration as the cl− ion. its concentration is half that of the cl− ion. its concentration is twice that of the cl− ion. its concentration is one-third that of the cl− ion. part c a scientist wants to make a solution of tribasic sodium phosphate, na3po4, for a laboratory experiment. how many grams of na3po4 will be needed to produce 550 ml of a solution that has a concentration of na+ ions of 0.700 m ? express your answer numerically in grams. view available hint(s) mass of na3po4 n a 3 p o 4 = nothing g provide feedback

Aglow stick contains a glass vial with chemicals. when the glow stick is bent, the vial breaks and the chemicals react to produce a glow. a science student observes that a glow stick kept in the freezer glows for a longer duration than a glow stick kept at room temperature. what conclusion can be drawn based on the observation? be sure to note the outcome and test variables in the conclusion.

Chromosome 17 is made of over million base pairs.