FARADAYS LAWS OF ELECTROLYSIS

Week:  six                                                 Date:    10-14 /06/2019                                            

Period:                                 Duration: 1 HR 20 MIN.                                                 Average age of learners: 16YEARS

Subject:                               CHEMISTRY                                                                        Class: SS TWO

Topic:                                    ELECTROLYSIS

Sub topic:  Reference materials:

(1) ESSENTIAL CHEMISTRY, TONALD PUBLISHERS, I. O ODESINA

(2) NEW SCHOOL CHEMISTRY, AFRICAN FIRST PUBLISHERS, OSEI YAW ABABIO

(3) INTERNET

Instructional materials:

Entry behavior: The students have been taught terminologies of electrolysis

Behavioural objective: At the end of the lesson the students should be able to:

i.                     State faradays laws of electrolysis

ii.                   How many coulombs make1 faraday

iii.                  Solve problems on electrolysis

iv.                 State uses of electrolysis

CONTENT

 

Faradays Laws of Electrolysis

The relationship between the quantity of electric charge passed through an electrolyte and the amount of the substance deposited at the electrodes was presented by Faraday in 1834, in the form of laws of electrolysis. The number of moles of an element that is liberated during electrolysis depends on 3 factors:

1.       The magnitude of the steady current passed.

2.       The time of passing the steady current.

3.       The charge on the ion of the element.

Faraday’s First Law

This law states that “the mass of a substance deposited or liberated at any electrode is directly proportional to the amount of charge passed” i.e., w a q  (where w is the mass of the substance deposited or liberated and q is the amount of charge passed). This proportionality can be made into an equality by, w = zq

where z is the proportionality constant called the electrochemical equivalent. It is the mass of the substance in grams deposited or liberated by passing one coulomb of charge.

Faraday’s Second Law

This law states that “the mass of a substance deposited or liberated at any electrode on passing a certain amount of charge is directly proportional to its chemical equivalent weight”.

That is w a E where w is the mass of the substance in grams while E is its chemical equivalent weight in gms per equivalent = .

This law can be explained as follows.

Consider three reactions, such as:

Na+ + e →   Na

Cu2+ + 2e–- →  Cu

Al3+ + 3e →  Al

Assume that these three reactions are occurring in three separate electrolytic cells connected in series.

 

When x moles of electrons are passed through the three cells, the mass of Na, Cu and Al  deposited are 23x gms, 31.75x gms and 9x gms respectively.

We can see that 23, 31.75 and 9 gm/eq are the chemical equivalent weights of the three elements.

w = moles of electrons   E

The charge possessed by 1 mole of electrons

= 1.6  10–19   6.023 x 1023 ≈ 96500 C

This charge is called as 1 Faraday.

If we pass one Faraday of charge, it means that we are passing one mole of electron and by passing 1 Faraday of charge 1gm equivalent weight of the substance will be deposited or liberated.

By combining the first and second law, we get

Note:  

It should be made clear that the cathode is the electrode in which reduction reaction(s) occurs while the anode is the electrode where the oxidation reaction(s) occurs. 

Do not relate the sign (positive or negative) of the electrode with the nature of the electrode.

Coulomb is the unit of electric charge. It is the amount of charge that moves past may given point in a circuit when a current of 1 ampere is supplied for one second.

Example 1

 If a steady current of 5A is allowed to pass through a solution for 2 hours 15 minutes (a) calculate the quantity of electricity (b) how many faradays are used.

Solution:

I =5A, t= 2hrs 15min. = [2x60x60] + [15x60]  = 8100s

Q = It  = 5A x 8100s  = 40500C

If 96500C ------------ 1 faraday

   40500C ---------- 1/96500 x 40500  = 0.42 Faraday

Example 2

0.5mole of oxygen gas was produced at the anode during the electrolysis of an acidified water using steady current of 5A (a) how many quantity of electricity was used (b) how many faradays of electricity was used (c) how long does it take to achieve this result.

Solution:

( a)  4OH-  à  2H2O  +  O2  + 4e-

           From the equation above:

1 mol of O2 gives 4 mol of electrons

0.5 mol of O2 gives 4 x 96500 x 0.5    = 193500C

(b ) 1 mol of O2 gives 4 mol of electrons

       0.5 mol of O2 gives 4 x 1F x 0.5    = 2F

( c) Q = It,  t  = Q/I  = 193500C/5A  = 38600s = 10hrs 45 min 20s

 

 Example 3

How long has a current of 3 ampere to be applied through a solution of silver nitrate to coat a metal surface of 80 cm2 with 0.005 cm thick layer? Density of silver is 10.5 g/cm3.

Solution:

Mass of silver to be deposited  = Volume × density  = Area ×thickness × density 
Given: Area = 80 cm2
thickness = 0.0005 cm and density = 10.5 g/cm3
 Mass of silver to be deposited = 80 × 0.0005 × 10.5 = 0.42 g 
Applying to silver E = Z × 96500 
Z=108/96500 g 
Let the current be passed for r seconds. 
We know that 
W = Z × I × t 
So, 0.42 = 108/96500 x 3 x t 
or t = (0.42 × 96500)/(108×3)=125.09 second 

Example 4.

What current strength in ampere will be required to liberate 10 g of chlorine from sodium chloride solution in one hour? 

Solution:

Applying E = Z × 96500 (E for chlorine = 35.5) 
35.5 = Z × 96500 
or Z = 35.5/96500 g 
Now, applying the formula

W = Z × I × t

Where W = 10 g, Z= 35.5/96500 t = 60×60 =3600 second 

I = 10x96500/35.5x96500 = 7.55 ampere 

USES OF ELECTROLYSIS

I.                    Extraction of element: Many metals (e.g Na, K, Mg, Ca, Al, Zn) and non-metals (eg H2, F2, Cl2) are obtained either by electrolysis of their ores or of their fused compound or their aqueous solution.

II.                  Purification of metal (eg Cu, Hg, Ag,  Au)

III.                Electroplating one metal by another

IV.                Preparation of certain important compounds, such as sodium hydroxide and sodium trioxochlorate (v)

PRESENTATION

Step I: The teacher states the faradays law of electrolysis.

Step II: The teacher leads the students to solve problems on laws of electrolysis.

Step III: the teacher explains the uses of electrolysis

EVALUATION

The teacher evaluates the lessons by asking the following questions:

i.                     State faradays laws of electrolysis

ii.                   How many coulombs make1 faraday

iii.                  State uses of electrolysis

ASSIGNMENT

A current of 2.68 ampere is passed for one hour through an aqueous solution of copper sulphate using copper electrodes. Calculate the change in mass of cathode and that of the anode. (At. mass of copper = 63.5).  

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