Consider a 10 weight% solution of magnesium phosphate in water atomic weights: mg = 24.31 0= 16.00 p= 30.97 a [5 pts] calculate the mass fraction of phosphorus in pure solid mg3(po4)2. b [5 pts) calculate the mass fraction of phosphorus in the solution. c 15 pts) the density of the solution is 1.515 kg-soln/liter-soln. calculate the volume (leola) which contains 5.7 grams of phosphorus. d. [5 pts) how many moles of water are in this volume (g-mol water)? e [10 pts) calculate the molality [g-mol mg3(po4)2 / kg water) of the solution. 2 [30 pts) a mixer combines two inlet streams to form a single outlet stream. one inlet stream adds 10 l/min of 5 wt% magnesium phosphate in water. the outlet stream must produce 35 l/min of a 2.2 wt% magnesium phosphate solution in water. assume the density of all solutions is identical and equals 1,200 g/liter. a 5 pts) sketch this system, label all variables. note if the information is a known or unknown variable (knowns have numeric values with units) b [5 pts) write out a total mass balance around the mixer c.[5 pts) write out a water mass balance around the mixer d [5 pts) write out a magnesium phosphate mass balance around the mixer e [5 pts] calculate the mass fraction (or weight %) of magnesium phosphate in the second inlet stream f.[5 pts) how might your answer change if the density was not the same for each stream? 1 inch = 2.54 cm = 25.4 mm rw = 1000 kg/m² 1 kg = 2.205 lbm = 1000 g 1 atm = 760 mmhg = 101,325 pa 1 m = 264.2 gallons = 10001 density [=] mass/volume mw [] molecular weight, g/g-mol gravity = 9.81 m/s2