Humboldt State University ® Department of Chemistry

Richard A. Paselk

Chem 107

Fundamentals of Chemistry

Fall 2008

Lecture Notes: 11 December

© R. Paselk 2005
 
     
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Acid Equilibria

pH cont.

Note that the "p" has the more general meaning of "-log[]". Thus pOH is -log [OH-], pCa = -log [Ca2+], etc.

pH of weak acid solutions

Weak acid dissociations involve equilibria. The equilibrium constants for weak acids have a specific symbol = Ka = Keq for the dissociation of an acid.

Example. What is the pH of a 0.10 M solution of acetic acid. Ka = 1.8 x 10-5

Buffer calculations

One of the most frequent calls for calculating acid equilibria is calculations involving buffers. What is a buffer?

With this in mind let's do some examples.

Example. Calculate the pH of a "buffer" (a solution which resists changes in pH) made up by dissolving 0.0125 moles acetic acid (HOAc) and 0.0250 moles of sodium acetate (NaOAc) in enough water to make 1.000 L of solution. Ka = 1.8 x 10-5

Let's try the example again using the Henderson Hasselbalch equation, pH = pKa + log[A-] / [HA]

FYI - The Henderson-Hasselbalch equation is simply a log version of the equilibrium expression for acid dissociation. That is, we take logs of both sides of the equation to get:

log Ka = log[H+] + log[A-] / [HA]

where HA is the acid and A- is its salt (conjugate base)

Rearranging: - log[H+] = - log Ka + log([A-] / [HA])

But - log[H+] = pH, and by analogy -log Ka = pKa!

Substituting, pH = pKa + log([A-] / [HA])

 Henderson-Hasselbalch equation: pH = pKa + log([A-] / [HA])

Example: Calculate the pH of a "buffer" made up by dissolving 0.0125 moles acetic acid (HOAc) and 0.0250 moles of sodium acetate (NaOAc) in enough water to make 1.000 L of solution. pKa = 4.74. Notice that we are already past the "reaction" stage, so just set up for "@ Equilibrium." let's do the problem.

 

Notice that only the ratio matters, the actual concentrations of the acid and salt are not that important for determining pH!

Example. What ratio of acetate ion to acetic acid would you need to make up an acetate buffer with a pH of 5.25.? pKa = 4.74. Easiest way to approach this is to use the Henderson-Hasselbalch equation to find the ratio of HOAc to OAc-

Example: How many moles of sodium acetate must be added to 0.120 moles of acetic and sufficient water to make a liter if we want a buffer with a pH of 4.50? pKa = 4.74.

Additional examples are available via the link below:

pH, Acid/Base, and Buffer Exercises

Colligative Properties

Colligative properties are those properties which depend only on the number or concentration, not on the type, of particles.

Be able to solve problems for:

Colligative Properties Exercises

FYI - not covered or required F 2008

Be able to solve problems for:

  • boiling point elevation: DTb = kbm, where m = molality = moles solute/kg solvent, and kb is a constant specific to the solvent.
  • osmotic pressure (p): pV = nRT; or, dividing both sides by V, p = MRT, where M = molarity.
    • Example: What are the osmotic pressures of 1.00 M sugar and 1 M aluminum chloride solutions at 25°C?

    psugar = MRT = (1 mol/L)(0.0821 L*atm/mol*K)(298 K) = 24.5 atm

    pAlCl3 = MRT = (1 mol/L)(4 mol ion/mol)(0.0821 L*atm/mol*K)(298 K) = 97.9 atm

  • Vapor pressure lowering (Raoult's Law): P = XP°, where P° = the vapor pressure of the pure substance and X = its "mole fraction", that is the number of moles of substance divided by the total number of moles of all substances in the solution (moles solute/(moles solute + moles solvent)). In other words the vapor pressure of a substance in solution is proportional to the molecular percentage of that substance in the solution.


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Last modified 11 December 2008