Chem 127

November 29, 2004

 

Wed evening, 7:30, Optional Exam

            ACS Standardized (Multiple Choice)

            Comprehensive (all of General Chemistry)

            No Risk; grade can replace an earlier exam

 

Electrochemistry

            We can build a galvanic electrical cell

            Observe the result of a spontaneous reaction

                        as a source of electrical power

                                    consume reactants, use up the "battery"

                                    voltage fixed by electrode Eo's (and conc)

                                    Faraday's law determines  current x time

                        as a laboratory probe

                                    measure E, determine DG

                                    measure E, determine a concentration

                                                in lab system, negligible use of materials

                                                Nernst's Law relates E and conc.

 

            We can also operate an electrolytic cell

            We force a non-spontaneous process to occur

            We convert electrical energy into chemical products

                        electrolysis (e.g., H2 from water, Cl2  from NaCl)

                        reduction to metal (all Al, most Mg,  Na-K-Li)

                        electroplating and refining (most pure Copper)

            Not all reactions can be driven this way

                        (some cells can be recharged, others cannot)

                       

 

Good example is the purification of raw copper

            mine copper(II) carbonates, hydroxides

            heat and form copper oxide (CuO)

            heat with carbon and form Cu metal

                        also reduce other metals (Ag, Zn, Pb, Sn)

                        form alloys; but not very pure copper

                                                            bronze: Cu/Sn-Sb   (the bronze age)

                                                            brass:  Cu/Zn

            set up an electrical cell

                        raw copper anode (will be oxidized)

                        cathode (will become pure copper)

                        solution (Cu2+ ions)

            Anode reactions                       (reduction potential)

 

                        Zn --> Zn2+ + 2e-            Eo = -0.76     easiest to oxidize

                        Cu --> Cu2+ + 2e-            Eo= 0.34

                        Ag --> Ag+ + e-            Eo= 0.80                 hardest to oxidize

 

As a rule, the oxidation is of the most easily oxidized species

From the Table bottom (most negative Eo's)

            Initially, we first oxidize Zn from anode surface

            When gone,  we oxidize Copper of the anode

            The smaller amounts of Silver, Lead (-0.13) never oxidize

                        fall off as sludge as surrounding copper dissolves

                        (that valuable sludge is the largest source of Ag )

 

At the cathode, we reduce the species highest on the table

The largest Eo Reduction Potentials

            if Eo of H2 is higher, we form H2 and not Metal

 

In the Electro- purification

            Ag would plate out first-- but it's not in solution

            Cu plates out before Zn (or before H2)

            So we form nearly pure copper cathodes

                        solution gradually gets richer in Zn2+

                        may eventually need to replace solution

 

            Notice that you cannot generally electroplate metals

            like Zn (-0.76 V) since you form H2 instead

 

But we do electroplate Ni (-0.26V )

            2H+ + 2e --> H2 (g) should occur first (Eo = 0.00 V)

                        but this is only valid at 1.0 M H+

            in pH 7 plating bath  E = 0 - 0.059 log10( 1 /10-7) =-0.4V

            so 0.1M Ni2+ is reduced before pH 7 H+ is reduced

 

            not much hope of doing this effectively for Zn (-0.76 V)

                        can be done with alkaline plating baths

            hopeless for Mg (-2.37 V) or Na (-2.71) or Al (-1.66 V)

                        can reduce these from molten salts (no water)

 


This is about where we stopped in class

Decomposing water for form H2 and O2 gases

            2 H+ + 2e --> H2 (g)                                        +0.00 V

            O2(g) + 2 H2O +4e --> 4 OH-                     +0.40 V

 

Net reaction 

O2 (cathode) + 2H2(anode) --> 4H+ (anode) + 4OH- (cathode)

Standard Cell Potential  +0.40 - (0.0) = +0.40

            can generate electrical power

            gas bubbling over Pt electrodes in 1M HCl, 1 M NaOH

O2 (cathode) + 2H2(anode) --> 4H+ (anode) + 4OH- (cathode)

            Standard Cell Potential  +0.40 - (0.0) = +0.40

            We can set up with separate electrolytes (solutions)

 

Reverse reaction--

            decompose water to form H2 and O2 gases

            probably not a standard cell

                        not both 1.0M NaOH and 1.0M HCl

                        in lab, one solution with both electrodes in it

                                    (in lab we used 0.1 M H+ as H2SO4)

 

            E = +0.40 -(0.059/4) log10 ( [OH-]4 [H+]4 /PO2 P2H2 )

seems a bit odd, but E is independent of [H+]

                        =0.40 - (0.015) log10 ( K4w /PO2 P2H2)

                        =0.40  - (0.015) x 4 x (-14)     if Pgases = 1 atm

                        =-0.44 V  

            DG = - nFE = - 4 * 96487 * (-0.44) = + 170,000 Joules

                       

we need to supply (at least) 170 kJ to make O2 + 2 H2          

-----------------------------


Using a Spontaneous Reaction as electrical power

            ideally want a anode with large negative Eo

                        anode will be oxidized

                        value is standard REDUCTION potential

                        so large negative value is preferred

            Zn is the dominant species  (-0.76 V)

            Al (-1.66 would be better)

                        not used, mostly due to stable oxide film

            Li (-3.04 V) is also used

                        despite problems of packaging; no water

                        limited by safety rules to small batteries

                        (a gram of lithium could be quite hazardous)

                        (recent news story-- 80+ cell phones are known

                         to have exploded, some while in use,

                        mostly due to battery failures)

            cathode is typically MnO2 (s)   < Mn(IV)  >

                        reacts with Li+ to form LiMnO2 (s)  <Mn(III)>

 

            one feature   E = Eo - 0.059 log10 (1/1)

                        even as material is consumed, voltage stays constant

                        eventually battery dies, no "weak" stage

 

How much Li is in a battery?

            Electronic Catalog lists a "coin" type with 100 mAh

                        milliAmp Hour

            Faraday -- # mole electron = # mol Li

                        = 0.10 A x 3600 sec / 96485  = 3.7 x 10-3 moles

                        = 3.7 x 10-3 x 6.98 g/mol = 25.5 mg of Li

            (may be more; often last 10-20% is unused if E drops)

 

An ordinary AA battery is rated 110 hr at 15 mA

            # moles of Zn =(2)* (0.015)*(110*3600) / 96485            =0.12

                        or 64 g/mol x 0.12 mol = 7.9 g of Zn

                        more moles, denser metal

                        lower voltage cell

 

                                                     Zn(s) --> Zn2+

2MnO2(s) + 2NH4+(aq) + 2e --> Mn2O3 + 2NH3 (aq) +H2O(liq)

 

            E = Eo - (0.059/2) log10 (  [NH3]2/[NH4]2 )

                        as NH4+ is used and NH3 increases

                        E of cell decreases

                        1:100 going to 100:1 ratio is 104

                                    E = (1.5V) - 0.24 V = 1.2 V (a dying battery)

 

The Alkaline Cell (with NaOH or KOH)

            for same amount of zinc, same current x time

            nearly the same voltage

                        slightly higher current available if needed

            less loss of Zn due to non-electrical reactions

                        storage life

                        batteries do go dead without being used

 

 

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