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Chapter 8. Activity Goodbye Freshman Chemistry Hello Real World. Activity. Equilibrium up to this point has been based on a very simple model. Basically that ions (a species with a high density of charge) do not interact other than the interaction of interest. Activity.
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Chapter 8 Activity Goodbye Freshman Chemistry Hello Real World
Activity • Equilibrium up to this point has been based on a very simple model. • Basically that ions (a species with a high density of charge) do not interact other than the interaction of interest.
Activity • Real Solutions are rather complex in their nature. • Ion interact with all ions in solution and other polar species. • Ions will interact with water since water is a polar substance. • Ions will have these water molecules in their ‘waters of hydration’.
Activity • In essence this ionic atmosphere shields the ions from each other which will diminish the interaction between the ions. • i.e. For a Ksp interaction the compound will be more soluble.
Solubity • KT(s) = K+ (aq) + T- (aq)
Activity • How do we quantify this ionic atmosphere. We use a term called ionic strength. • It can be calculated
Activity • Let’s do an example. • What is the ionic strength of a solution that is 0.010 M Na2SO4 and 0.050 M NaCl • We will prepare a Table and ask our first question. • What ions are present?
0.010 M Na2SO4 and 0.050 M NaCl • What are the concentrations?
0.010 M Na2SO4 and 0.050 M NaCl • What are the charges and charges squared?
0.010 M Na2SO4 and 0.050 M NaCl • Let’s Finish the Math
Activity • It gets even more complex. Not all soluble salts will dissociate into the individual species. We get another form that will exist in solution. This is called and Ion Pair • MgSO4 (s)+ H2O = Mg2+(aq)+ SO42-(aq) + MgSO4(aq) • The MgSO4(aq) is the ion pair.
Activity • You can see from Appendix J in the book the equilibrium constants for this pair formation. • Mg2+(aq) + SO42-(aq) = MgSO4(aq) • Log K = 2.23 • Which means that about ~93% will be in the ion pair form if the formal concentration of MgSO4 is 1M.
Activity • Ion Pairing has important implications in areas such as drug transport and delivery. Any drug species must be in the proper form to give its activity.
Activity • So how do we find the “Activity of an ion in solution”. Where A is the activity of species C g is “activity coefficient” [C] is the concentration in moles per liter
Activity • Let’s revisit our equilibrium expression. • aA + bB = cC + dD • Which we write
Activity • Lets revisit an equilibrium we have seen several times. The solubility of silver sulfide.
Activity • How do we find the value for the “activity coefficient” ? • For ionic strengths from 0.1M and down we can look up the value on a Table or we can calculate from the Extended Debye-Huckel equation.
Activity Where z is the ion charge, m is the ionic strength and a is the hydrated radius
Activity • You could also look up the value of the activity coefficient from Table 8-1 in the text.
Activity • What if you want an intermediate value between two listed ionic strengths. • You will need to do a linear interpolation. (Do you remember this from using log tables in high school?)
Activity • Effect of Ionic Strength, Ion Charge and Ion Size on Activity Coefficient (0 to 0.1M) • m increases g decreases • z increases the faster the departure from g from unity • smaller a then the greater activity effects
Activity • Neutral Molecules • Not charged so no ionic interaction so we assume g is 1 • Gases • Not charged and again we can assume that g is 1. A = P(bar)
Activity • What is the pH of very, very pure water? • Kw = AHAOH = 1.0 x 10-14 • AH = 1.0 x 10-7 Thus pH = 7.00 • What is the pH of 0.10 M NaCl? Would it still be 7.00?
Activity • Kw = gH[H] gOH [OH] • Look up the g for H+ and OH- on Table 8-1. gH = 0.83 and gOH = 0.76 • [H+] = [OH-] • So Solving for [H+] = 1.26 x 10-7 • pH = - log AH = -log (0.83)(1.26 x 10-7) = 6.98