How many milliliters of glycerol, d=1.26 g/ml, must be added per kilogram of water to produce a solution with 4.55 mol% C3H8O3 ?

8 answers

4.55 mole percent = 0.0455 mole fraction.
So you want 0.0455 mole glycerin/kg water.
Do you know what mole fraction is?
mole fraction glycerin = moles gly/total moles where total moles = moles glycerin + moles water.
moles water in 1 kg = 1000/molar mass
moles glycerin = 0.0455

mole fraction glycerin = 0.0455/(0.0455 + 55.5) = ??
Convert 0.0455 moles glycerin to grams and convert grams to mL using the density.
Im still not sure what to do. If i convert the .0455 moles into grams and then use the density to find ml, how does that take into account my 1kg of water?
The 1 kg of water is 1000 g/18.015 = 55.5093 moles water. Add that to 0.0455 moles solute to make total moles = 55.5548. So mole fraction 0.0455/55.5548 = 8.19 x 10^-4 glycerin. Now convert moles glycerin to grams and from there to mL using density.
What the hec are you tlaking about the answer does not come out, can you please solve it out and post an answer so we can check our work.
DrBob222 explained it well i think the first time. Unless 3.33ml is the wrong answer...
your all idiots!!! both .09505 and 3.3 are wrong were doing it in a computer program and we reworked the problem!!!
4.85 mole % means 4.8 mole of glycerol per 100 mol of water
To make 4.85 mol% of glycerol in 1800g of water, we need 4.85x 92g = 446.2 g of glycerol
So in 1000g (1kg) water we need 247.8 g of glycerol ( 446.2x1000/1800)
Density = mass/volume
Volume = mass/density
= 247.8/1.26
=196.66 mL
Renjith is right, except that we do not have 100 mol of H20. We assume 100 mol for the total of our solution but the mol of H20 is 100 - 4.85 mol glycerol = 95.15 mol glycerol. Do your calculations with this number instead, and you'll be fine.