Chemistry 30

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Redox Reactions & Electrochemistry Practice Answers

Practice Set 4: Electrochemical Cells

Print out the practice set Word RTF PDF
Print out the answers Word RTF PDF

For questions 1 to 3, two half-cells are connected under standard conditions to make an electrochemical cell. Use the Table of Standard Reduction Potentials included with this assignment to obtain the half-reactions involved. For each:

a. write the equation for each half-reaction that will occur

b. label each half-reaction as oxidation or reduction

c. calculate the voltage of the electrochemical cell

d. the net overall balanced redox equation.

e. diagram the cell, clearly indicating the following

  • the electrodes in appropriate electrolytic solutions
  • label each electrode as anode or cathode
  • label each electrode as positive post or negative post
  • diagram the flow of electrons through the external circuit
  • a salt bridge with appropriate electrolytic solution
  • flow of ions from the salt bridge to the two half-cells

1. iron-iron(II) ion (Fe|Fe2+) and lead-lead(II) ion (Pb|Pb2+)

 

 

 

E°(V)

 

cathode

reduction

Pb2+ + 2e- → Pb(s)

-0.13

+ electrode

anode

oxidation

Fe(s) → Fe2+ + 2e-

+0.45

- electrode

balanced net
equation

Fe(s) + Pb2+ → Pb(s) + Fe2+

+0.32

total
voltage


Iron - Lead electrochemical cell


 
2. chromium-chromium(III) ion (Cr|Cr3+) and rubidium-rubidium ion (Rb|Rb+)
           

 

 

balance for e-

 

E° (V)

 

cathode

reduction

 

Cr3+ + 3e- → Cr(s)

-0.74

+ electrode

anode

oxidation

× 3

Rb(s) → Rb+ + e-

+2.98

- electrode

 balanced net
equation

3 Rb(s) + Cr3+ → Cr(s) + 3Rb+

+2.24

total
voltage


Chromium - Rubidium electrolytic cell


3. copper-copper(I) ion (Cu|Cu+) and aluminum-aluminum ion (Al|Al3+)

(NOTE: Be sure to use the Cu1+ half-reaction, not Cu2+)

             

 

 

balance for e-

 

 

E° (V)

 

cathode

reduction

× 3

Cu+ + e- → Cu(s)

 

+0.52

+ electrode

anode

oxidation

 

Al(s) → Al3+ + 3 e-

 

+1.66

- electrode

 balanced net
equation
 

Al(s) + 3 Cu+ → 3Cu(s) + Al3+

 

+2.18

total
voltage


Copper - Aluminum electrolytic cell


  1. An electrochemical cell is created using gold and magnesium half-cells.
    1. Determine which half-cell will undergo oxidation and which will undergo reduction,
    2. identify anode and cathode, and calculate the voltage for the cell. You do not need to diagram the cell.

    3. If the mass of the magnesium electrode changes by 5.0 g, what will be the change in mass of the gold electrode, and will its mass increase or decrease?
 
Part a.

 

 

balance for e-

 

E° (V)

 

cathode

reduction

× 2

Au3+ + 3e- → Au(s)

+1.50

+ electrode

anode

oxidation

× 3

Mg(s) → Mg2+ + 2 e-

+2.37

- electrode

 balanced net
equation
 

3Mg(s) + 2Au3+ → 2Au(s) + 3Mg2+

+3.87

total
voltage


Part b.

The balanced equation is required to answer part b:

3Mg(s) + 2Au3+ → 2Au(s) + 3Mg2+  
From this equation we see that 3 moles of Mg react with 2 moles of Au to give us the ratio:
3 Mg

2 Au
Since the question concerns mass, we will need to know the molar masses of each element, in order to convert between moles and mass. Molar masses are equivalent to atomic masses, found in the periodic table. The unit for molar mass is g/mol. (Need a review? Check here)

molar mass of Mg:  24.3 g ·mol-1      molar mass of Au: 197.0 g ·mol-1

The question gives us the mass of Mg and asks us to find mass of Au. Set up the equation so that all units will cancel except g Au (mass of Au):
g Au
= 5.0 g Mg
×
1 mol Mg

24.3 g
×
197.0 g

mol Au
×
2 Au

3 Mg
=
27.0 g Au
                   
answer

The mass of gold will change by 27.0 g.

Our half-reactions tell us that gold ions combine with gold ions to produce solid gold. Thus our gold electrode will increase it’s mass by 27.0 g.

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Credits | Central iSchool | Sask Learning | Saskatchewan Evergreen Curriculum | Updated: 22-May-2006