The follwoign data have been obtained for the effect of solvent composition on the solubility of a serine, an amino acid, at 10.0 degrees C:
Volume % Methanol 0 10 20 30 40 60 80 100
Solubility (g/100mL solvent) 22.72 18.98 11.58 6.415 4.205 1.805 0.85 0.65
Solution Density (g/mL) 1.00 0.98 0.97 0.95 0.94 0.91 0.88 0.79
The data were obtained by mixing known volumes of methanol and water to obtain the desired solven compositions and then slowly adding measured amounts of serine to each mixture until no more would go into solution. The temperature was held constant at 10.0
Derive an expression for solvent composition expressed as mass fraction of methanol, x, as a function of volume fraction of methanol, f.
(a) We can derive the relation as
Mass fraction of methanol = xm
Volume fraction of methanol = xv
Mass of methanol = Mm
Volume of methanol = Vm
Mass of water = Mw
Volume of water =Vw
Therefore xm = Mm / Mm + Mw = dm X Vm / dmVm +dwVw
dm= density of methanol
dw = density of water
Also xv = Vm / VT
VT = Total volume
xm = dm * xv *V / dm xv V + dw (1-xv) V
The follwoign data have been obtained for the effect of solvent composition on the solubility of...
The following data have been obtained for the effect of solvent composition on the solubility of serine, an amino acid, at 10.0 oC. Volume % Methanol 0 10 20 30 40 60 80 100 Solubility (g/100 mL solvent) 22.72 18.98 11.58 6.415 4.205 1.805 0.85 0.65 Solution Density (g/mL) 1.00 0.98 0.97 0.95 0.94 0.91 0.88 0.79 The data were obtained by mixing known volumes of methanol and water to obtain the desired solvent compositions, and then slowly adding measured...