3.0 kg of fresh alumina are added to 1.8 m3 of a solution containing 0.25 kg glucose/ m3 . the system is mixed and reaches equilibrium. calculate the final equilibrium concentration of glucose in the liquid and on the solid. (c, kg solute/m3 fluid and q, kg solute/kg adsorbent).

Awater slide of length l has a vertical drop of h. abby's mass is m. an average friction force of magnitude f opposes her motion. she starts down the slide at initial speed vi. use work-energy ideas to develop an expression for her speed at the bottom of the slide. then evaluate your result using unit analysis and limiting case analysis. express your answer in terms of the variables h, m, l, vi, f and appropriate constants. vf v f