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E Determining Avogadro's Number

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E<br />

Mole Day Planning Pack<br />

<strong>Determining</strong> Avogadro’s<br />

<strong>Number</strong> using Electrolysis<br />

This experimental set up provides you with all the information you need to determine<br />

Avogadro’s number. If you need any help, use the hint cards. These are structured to help you<br />

understand how you get from your measurements to the answer. Remember to wear safety<br />

glasses throughout the experiment.<br />

Clean and dry a pair of copper electrodes.<br />

wires<br />

copper<br />

sulphate<br />

solution<br />

Find the dry mass of the anode before you start the experiment.<br />

Set up the apparatus below. Use 0.1 M CuSO4 (aq) (harmful) as the electrolyte. You will also<br />

need a stopwatch.<br />

Switch the power supply on, starting the stopwatch at the same time. Record the current<br />

(about 0.4 A, but record the exact current you read off the ammeter) and leave for about 35<br />

minutes.<br />

Find the mass of the anode when dry at the end of the experiment.<br />

While you are waiting, write down the steps you are going to take to calculate Avogadro’s<br />

number.<br />

Calculate Avogadro’s number using your experimental data. Compare your value with the<br />

value 6.02 x 10 23 . Identify sources of error.<br />

Information<br />

Remember to complete a risk assessment<br />

before beginning practical work.<br />

A<br />

power supply<br />

beaker<br />

carbon electrodes<br />

e charge on 1 electron / C<br />

n chemical amount / mole<br />

Oxidation of copper at anode:<br />

Cu (s) Cu ÷<br />

÷<br />

÷<br />

2+ (aq) + 2e- N number of atoms NA = nCu NCu<br />

NA Avogadro’s number Molar mass of Copper = 63.55 g mol-1 Q charge / C e = 1.60 x 10-19 I current / A<br />

Q = It<br />

C<br />

<strong>Number</strong> of electrons = Q e<br />

n = mass/g molar mass/ g mol-1 n = No. elementary entities NA<br />

Extension activity: The faraday, F, is defined as the amount of electrical charge on one mole of<br />

electrons. What value does your experiment give you for the Faraday? Compare it with the<br />

literature value 96500 C mol-1 ÷<br />

(3 SF).<br />

www.ulster.ac.uk/scienceinsociety/ 13<br />

ANALYSING PROBLEM SOLVING<br />

S


Mole Day Planning Pack<br />

<strong>Determining</strong> Avogadro’s <strong>Number</strong> using Electrolysis<br />

Hint cards<br />

Cut one set of cards out for each table. Fold along the dotted line and place the cards face<br />

down (number facing up) on the table. Students can refer to the hint cards if they have<br />

problems in deciding their strategy for answering the question.<br />

1<br />

Avogadro’s number<br />

2<br />

Amount of copper<br />

(in moles)<br />

3<br />

<strong>Number</strong> of atoms of<br />

copper<br />

4<br />

<strong>Number</strong> of electrons<br />

(a)<br />

5<br />

<strong>Number</strong> of electrons<br />

(b)<br />

Avogadro’s number<br />

You can calculate Avogadro’s number from the equation:<br />

÷<br />

NA = nCu NCu<br />

You will need to find the number of moles of copper (see card 2) that<br />

take part in this reaction and the number of atoms of copper (see card<br />

3) that take part in this reaction.<br />

Amount of copper (in moles)<br />

To find the number of moles of copper that took part in electrolysis<br />

you can use the equation<br />

÷<br />

n = mass/g molar mass/ g mol -1<br />

The mass of copper will come from your experiment.<br />

Mass of copper that took part in electrolysis = Mass of anode at start<br />

– mass of anode at end<br />

<strong>Number</strong> of atoms of copper<br />

Look at the equation for oxidation at the anode in the information<br />

box. This links the number of atoms of copper with the number of<br />

electrons that take part in electrolysis.<br />

What is the ratio of electrons to copper atoms?<br />

If you are stuck on how to find out the number of electrons that take<br />

part in electrolysis, see card 4.<br />

<strong>Number</strong> of electrons (a)<br />

Electric current consists of electrons carrying charge through a wire.<br />

To calculate the total charge that is passed through the wire, you will<br />

need to use the equation linking current, charge and time.<br />

Substitute your values from your experiment. To find out how to<br />

convert from charge to number of electrons see card 5.<br />

<strong>Number</strong> of electrons (b)<br />

The information table tells you the charge of one electron. You have<br />

just calculated the total charge.<br />

Now calculate how many electrons took part in electrolysis using the<br />

relationship:<br />

Total charge = <strong>Number</strong> of electrons x Charge of one electron<br />

www.ulster.ac.uk/scienceinsociety/ 14<br />

ANALYSING PROBLEM SOLVING<br />

T

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