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CH. 13 PROPERTIES OF MIXTURES

CH. 13 PROPERTIES OF MIXTURES. Relate actions of inter- forces in solns. Equations. Henry’s Law S gas = K H * P gas. Various concentration expressions. van’t Hoff factor freezing pt depression D T = K f * m boiling pt elevation

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CH. 13 PROPERTIES OF MIXTURES

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  1. CH. 13 PROPERTIES OF MIXTURES Relate actions of inter- forces in solns Equations Henry’s Law Sgas = KH * Pgas Various concentration expressions van’t Hoff factor freezing pt depression DT = Kf*m boiling pt elevation DT = Kb*m Raoult’s Law Psoln = (X*Po)solvent

  2. RECALL Mixture: composition varied, retains properties of individual parts Solution: homogeneous mixture, 1 phase, uniform properties Colloid: heterogeneous mixture, 2+ phases (not easily seen) SolutionColloid particles: individual atoms, lrg molecules or sm molecules ions, sm molecules not separate out “LIKE DISSOLVES LIKE” subst w/ similar inter- forces will dissolve in each other interaction bet solute & solvent Solute: subst being dissolved Solvent: subst doing the dissolvine H2O: universal solvent Miscible: subst dissolve in each other Electroylte: subst dissoc into ion, conducts electrical current all ionic cmpds, strong acids Nonelectroylte: no dissoc or very little %, not conduct current weak acids, covalent molecules

  3. COLLIGATIVE PROPERTIES OF SOLUTIONS Look at: Colligative Properties properties of dilute solns of nonvolatile solute in volatile solvent 1. Lowering vp 2. Elevate bp 3. Lower fp 4. Osmotic P

  4. CONCENTRATION EXPRESSIONS Molarity (M) mols solute/L soln (mols/L) affected by DT molality (m) mols solute/Kg solvent (mols/Kg) mass not D by T Parts by mass^ (w/w%) (mass solute/mass soln)*100 Part by vol^ (v/v%) (vol solute/vol soln)*100 (w/v%) (mass solute/vol soln)*100 Mole Fraction (X) [mols solute/(mols solute + mols solvent)] mol % = X * 100 ^ ppm(v) * by 106 (not 100) ppb(v) * by 109 (not 100) Conversions convert mol to mass: use molar mass convert mass to vol: use density

  5. 1 atm VP pure solvent Pressure - atm VP solution bp pure H2O bp solution Temperature - oC PHASE DIAGRAM PURE H2O DTb

  6. Solution prepared by dissolving 18.00 g glucose in 150.0 g H2O. Solution has a bp of 100.34oC Calculate the molecular wt of glucose. find DT DT = Tb,solution - Tb,solvent = 100.34 - 100.00 = 0.34oC Plan glucose = 1 ion DT = Kb*m find: DT, msolute, nglucose Kb: 0.51 0C-Kg/mol find molality solute m = DT/Kb = (0.34)/(0.51) = 0.67 mol/Kg find quantity solute, mols KgH2O = 150 g = 0.1500 Kg nsolute = (0.67 mol/Kg)*(0.1500 Kg) = 0.10 mol Analysis 0.10 mol of glucose weighs 18.00 g, as 1 mol glucose (C6H12O6) weighs 180 g. So, 10 * 18.00 g = 180 g

  7. 23.6 % HF by mass, states: 23.6 g HF/100 g soln 0.050 ppmstates: 0.050 g solute in million (106) g soln, or 0.050 mg/Kg also ≈ 0.050 mg/L 50 ppbstates: 50 g solute in billion (109) g soln 50 g/Kg => 50 g/L

  8. 1 atm VP pure solvent Pressure - atm VP solution bp pure H2O bp solution Temperature - oC fp solution fp pure H2O PHASE DIAGRAM PURE H2O DTf DTb

  9. Van’t Hoff Factor Plan ^convert mass% to m ^DT = Kf*m*i ^assume 100 g sample, so, 1.00 g NaCl & 99.0 g H2O ^Kf H2O = 1.86oC/m Find m & van’t Hoff factor, i 1.00 mass % NaCl, freezing pt = -0.593oC mNaCl= mols solute/Kg solvent mols NaCl = 1.00 g*(1mol/58.5 g) = 0.017 mols sovlent H2O = 99.0 g * (1 Kg/1000 g) = 0.099 Kg mNaCl= 0.017 mols/0.099 Kg = 0.1717 m iis close to 2, as NaCl dissoc. into 2 ions Na+1 & Cl-1 DT = 0.00 - (-0.593) = 0.593 i = DT/(Kf*m) = (0.593)/(1.86*0.1717) = 1.86

  10. Now, for you find m & van’t Hoff factor, i 0.750 mass % H2SO4, freezing pt = -0.423oC DT = Kf*m*i mH2SO4 = [0.750 g H2SO4/0.09925 Kg H2O]/(98.1 g) = 0.0770 m DTf = Tf – Ti = [0.00 – (-0.423)] = 0.423oC i = DTf/Kf*m = (0.423oC)/[1.86oC/m * 0.0770 m] = 2.95 i = 3, so 3 ions in solution, sulfuric acid is a strong acid so will dissociate completely into ions; 2H+1 & SO4-2 What can be said if i = 1.67 for CuCl, which would form 2ions? Why isn’t i closer to 2? Ion pairing; usually less in dilute solutions Cl- Cl- Cu+ Cu+ Cl- Cu+ Cl- Cl- Cl- Cu+ Cu+ Cu+

  11. SOLUTION TYPES Forces in Solution Ion-Dipole Hydration shell: ion surrounded by H2O molecules; attraction of H2O H-Bonding imprt in aq solns; prime reason for solubility in H2O; factor of solubility for many biological & organic subst Dipole-Dipole factor for solubility of polar-polar molecules Dispersion factor in NP-NP subst

  12. LIQUID SOLUTIONS & POLARITY Li+1+ Cl-1 + H2O Ions of solid attracted to dipole of H2O; attraction as strong as ion-attraction; H2O “substitutes” bet ions CH4 + H2O NP + Polar NP attraction too weak for H2O sub H-bonding bet H2O molecules too strong CH3COOH + H2O P+P (H-bonding) H-bonding attraction forces similiar H2O sub C6H14 + C8H18 NP + NP Dispersion force attraction; Sub bet the 2 molecules

  13. Trend in organic series: solubility in H2O & hexane molecule has +/- dipoles and NP end, as NP end incr in length, NP influences incr T 13.2 pg 492 H2O - polar C6H14 - NP CH3OH Y less CH3CH2OH Y Y CH3(CH2)2OH Y Y CH3(CH2)3OH less Y CH3(CH2)4OH less Y CH3(CH2)5OH less Y Which is more soluble. Why CH3(CH2)3OH or HO(CH2)5OH in H2O CHCl3 or CCl4 in H2O polar - polar match more H-bonding capability How to dissolve CCl4? use NP solvent; hexane

  14. NP Gases: low bp, weak inter- attraction, no solubility in H2O as weak forces, incr solubility - bp incr GAS - SOLID SOLUTIONS All gases soluble w/ other gases, Air: 18 gases in varied % amts, optimize yield by vary T & P

  15. Gas dissolves by filling void spaces bet particles in solid O2 F2 CO2 CH4 Pt acts as semi-porous filter N2 sm molecule to pass thru void space bet Pt atoms while other atoms too lrg to pass remain on Pt surface

  16. Alloys: brass Zn + Cu bronze Sn + Cu Melt solids ----- mix (metallic bonding) ---- freeze

  17. Henry’s Law: Sgas = KH * Pgas gas solubility KH; Henry’s Law const; value for given gas @ given T Ex: 78% of air is nitrogen. What is the solubility in H2O @ 250C & 1 atm. KH = 7*10-4 mol/L-atm SN2 = (7*10-4 mol/L-atm) * (1 atm) * (0.78) = 5.5*10-4 mol/L Ex: a soda bottle at 25oC contains CO2 gas at 5.0 atm over the liquid. Assume partial PCO2 is 4.0*10-4 atm. Calculate [CO2] before & after bottle opened. Pressure Effect relation gas P & concen dissolved gas Sgas = KH* Pgas unopened: P = 5.0 atm SCO2 = (5.0 atm)*(0.032 mol/L-atm) = 0.16 mol/L opened: P = 4.0*10-4 atm SCO2=(4.0*10-4 atm)*(0.032 mol/L-atm) = 1.3*10-5 mol/L Notice, large D in concen, why pop goes “flat”

  18. MOLARITY -- MOLALITY Find M of a soln w/ 8.70 g lithium nitrate in 505 mL. mols = (8.98 g)/(68.9 g/mol) = 0.130 mols M = 0.130 mol/.505 L = 0.258 M Find m of soln w/ 164 g HCl in 753 mL H2O. mols = (164 g)/(36.5 g/mol) = 4.49 mol m = (4.49 mol)/(0.753 Kg) = 5.96 m

  19. (w/w)% (v/v)% (w/v)% Patient is given 30.0 g glucose in 150 mL solution, what is the w/v%? Patient is given 30.0% glucose solution, what is the mass glucose in 250.0 g H2O? 30.0% is 30.0 g solute in 100.0 g solution. So, 30 g glucose for 70.0 g H2O

  20. SOLUTION PROCESS +DH to separate particles -DH to mix & attract particles 3 process occur 1: solute particles sep apart solute + heat ----> separate DH > 0 2: some solvent particles sep solvent + heat ----> separate DH > 0 gains room for solute particles 3: solute/solvent particles mix solute + solvent -----> soln + heat DH < 0 DHsoln: total DH when soln forms from solute/solvent DHsoln = DHsolute + DHsolvent + DHmix small + -large = -DHsoln more positive DHsoln, solubility decr to 0 Strength of forces, solution formation, between: solute-solute solute-solvent solvent-solvent Na+I- solution forms  H2O-H2O

  21. ENTHALPY DIAGRAM DissolveNaI(s) in H2O; exo- Na+1 (g); I-1(g) DHsolute DHlattice DHhydra Enthalpy, H Hinitial NaI(s) Na+1 (aq); I-1(aq) Hfinal Spont; process occurs if E of sys decr DHsoln = “-”

  22. TREND col: charg =, size , CD , DHhydra row: charge , size , CD , DHhydra IONIC SOLIDS Solute surrounded by solvent, termed as Solvation process in water, Hyrdation (gaining of H2O) DHsoln = DHsolute + DHsolvent + DHmix DHhydra DHhydra based on charge density higher CD --> more neg DHhydra incr charge, stronger attraction to H2O DHlattice: E needed to sep ionic solid into gaseous ions very +++ DH > 0 Ionic Solids + H2O ===> we have, + DHlattice + DHhysra cation + DHhydra anion

  23. measure of disorder in a sys various ways sys distr E relates to freedom of particle movement Solid ------------ Liquid ----------- Gas Ssolid < Sliq Sliq < Sgas DS > 0 DS > 0 Ssoln > Ssolute or Ssolvent more interactions occur in soln, so more ways to distr E & more freedom of movement Natural Tendency: is to form soln Manfacturing facilities need larg amts E to produce pure subst, as reverse natural way (spontaneous) sys tends toward: low DH & high DS 2nd Basic Principle Spont process at const T occur as entropy (randomness) incr

  24. SOLUBILITY IN EQUILIBRIUM Solubility: max amt solute that dissolves in given amt solvent @ specific Temp Saturated: rate solute dissolves = rate solute undissolves Unsaturated: limit to which soln has dissolved all solute possible Supersaturated: soln able to dissolve excess solute above a T & stays dissolved

  25. Temp vs Solubility solid more soluble @ higher T heat absorbed to form soln solute + solvent + heat <---> sat soln DHsoln > 0 incr T, incr rate dir -----> gasDHsolute = 0 since gas particles already sep DHhydra < 0 heat released for gases in H2o solute + H2O <----> sat soln + heatDHsoln < 0 incr R, decr gas solubility rate can lead to thermal pollution pressurelittle effect on solids or liq but MAJOR effect on gases. @ equilibrium; # gas particles leave soln = # gas particles reenter incr P (decr V) then incr # gas particles collide w/ surface, so # particles entry > # particles leave

  26. VAPOR PRESSURE OF SOLNS Raoult’s Law Psoln = (X*Po)solvent Note relation: soln: 50/50% solute/solvet molecules, Xsolv = 0.5, then Psoln is 0.5Posolv soln: 3/4 soln is solvent particles, Xsolv = 0.75, then Psoln is 0.75Posolv Idea behind this: nonvolatile solute just dilutes the solvent Remember!!! Ideal Gas obeys ideal-gas eqn and ideal soln obeys Raoult’s Law Real soln approx ideal when……. low [ ], similar molecular sizes, similar inter- attractions A solution prepared, dissolve 35.8 g NaClin 643.5 cm3 H2O at 25oC. DH2O = 0.9971 & vp = 23.76 torr

  27. plan: determine X fraction for H2O mols NaCl g H2O -------------------> mols H2O XH2O Psoln Raoult’s Law Psoln = (X*Po)H2O 58.5 g/mol (17.9 g/58.5)*2 ions = 0.612 mol 643.5*0.997 = 641.6 g 641.6 g/18.0 = 35.6 mol = (molH2O)/(molH2O+molNaCl) =35.6/(35.6+0.612) = 0.983 = (0.983)*(23.76 torr) = 23.36 torr

  28. Solution prepared by mixing 35.0 g Na2SO4(s), [142.1], w/ 175 g H2O @ 25oC. Find vp. vpH2O = 0.031 atm Find XH2O nH2O = 175 g/18.0= 9.72 mol nNa2SO4 = 35.0 g/142.1= 0.246 mol Na2SO4----> 2 Na+ + SO4-2 : 3 ions nNa2SO4 = 3(0.246) = 0.783 mol XH2O = 9.72/(9.72+0.783) = 0.929 Psoln = XH2OPoH2O = 0.929*0.031 atm = 0.0288 atm

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