How to Compare Metal Reactivity Without Confusing Reaction Rate

Use displacement reactions and standard reduction potentials to rank metals, then see why oxide coatings and surface area can make reaction rates misleading. Includes worked HSC-style examples and practice solutions.

A strip of magnesium reacts rapidly with dilute acid, while a strip of aluminium can appear to do almost nothing under similar conditions. Does that mean magnesium is more reactive? Not necessarily. You’re observing two different things: the tendency of a metal to undergo a chemical reaction and the speed at which that reaction actually happens.

To compare reactivity, use controlled chemical tests, displacement reactions, and the metal activity series. To compare reaction rates, measure how quickly reactants are consumed or products form. The distinction becomes particularly important when a thermodynamically favourable reaction is slowed by an oxide coating or another kinetic barrier.

01Reactivity and reaction rate answer different questions

Imagine placing zinc into a solution containing copper(II) ions. A reddish-brown deposit of copper gradually forms on the zinc, while some of the zinc dissolves.

Now imagine placing copper metal into a zinc sulfate solution. Under ordinary laboratory conditions, you won’t observe the equivalent displacement reaction.

These observations tell us something about the relative reactivity of zinc and copper. They don’t, by themselves, tell us how quickly either reaction proceeds.

The key distinction is:

ReactivityReaction rate
Describes how readily a substance undergoes a chemical reaction.Describes how quickly a chemical reaction proceeds.
Helps predict whether a displacement reaction is thermodynamically favourable.Describes the change in reactant or product quantity per unit time.
Compared using controlled reaction tests, activity series, and electrochemical data.Investigated by measuring changes such as gas volume, mass, or concentration over time.
Depends on the chemical properties of the reacting substances and the reaction conditions.Also depends on temperature, concentration, exposed surface area, and catalysts.

A useful way to remember the difference is to separate two questions:

  • Reactivity: Is the reaction energetically favourable?
  • Reaction rate: How quickly does the reaction happen?

These questions are related, but they are not interchangeable. A reaction can be energetically favourable and still proceed extremely slowly.

02How to build a metal activity series from experimental evidence

The key experiment is a displacement reaction.

A metal consists of atoms that can lose electrons to form positive ions. If those electrons are transferred to ions of another, less reactive metal, the less reactive metal forms as a solid.

For example, zinc can transfer electrons to copper(II) ions:

\[ \ce{Zn(s) + Cu^2+(aq) -> Zn^2+(aq) + Cu(s)} \]

Zinc atoms lose electrons and enter the solution as zinc ions. Copper(II) ions gain those electrons and form solid copper.

Setting up the investigation

Suppose you want to determine the relative reactivity of magnesium, zinc, and copper.

Prepare separate test tubes containing equal volumes of three solutions:

  • Magnesium sulfate, \(\ce{MgSO4(aq)}\)
  • Zinc sulfate, \(\ce{ZnSO4(aq)}\)
  • Copper(II) sulfate, \(\ce{CuSO4(aq)}\)

Use metal strips with similar exposed surface areas. Clean their surfaces consistently before testing.

The prediction is straightforward: if magnesium is more reactive than zinc, magnesium should be able to displace zinc ions from solution.

Consider these four tests.

Metal stripSolutionIllustrative observation
MagnesiumZinc sulfateA grey zinc deposit forms on the magnesium.
ZincMagnesium sulfateNo visible change.
ZincCopper(II) sulfateA reddish-brown copper deposit forms. The blue solution becomes paler.
CopperZinc sulfateNo visible change.

The observations are illustrative experimental data, not measurements from a particular laboratory investigation. Assume equal solution concentrations, temperature, exposed metal areas, and observation times.

What can you conclude?

  • Magnesium displaces zinc ions, so magnesium is more reactive than zinc.
  • Zinc displaces copper ions, so zinc is more reactive than copper.
  • Copper cannot displace zinc ions under these conditions, supporting the same order.

Therefore:

\[ \boxed{\mathrm{Mg > Zn > Cu}} \]

This is a simplified metal activity series.

Why does the displacement happen?

Look at the magnesium and zinc sulfate reaction:

\[ \ce{Mg(s) + Zn^2+(aq) -> Mg^2+(aq) + Zn(s)} \]

It consists of two half-equations.

Oxidation:

\[ \ce{Mg(s) -> Mg^2+(aq) + 2e^-} \]

Reduction:

\[ \ce{Zn^2+(aq) + 2e^- -> Zn(s)} \]

Magnesium loses electrons, so it is oxidised. Zinc ions gain electrons, so they are reduced.

The more reactive metal acts as the reducing agent because it supplies electrons to the ions of the less reactive metal.

The sulfate ions do not participate in the electron transfer. They are spectator ions.

The important rule: a metal higher in the activity series can displace ions of a metal below it from solution, provided the reaction conditions allow the displacement to occur.

The problem with relying on visible observations

The first experimental design has a weakness.

Imagine that your magnesium strip is freshly cleaned, but your aluminium strip has a thick oxide coating. You place both into solutions containing ions of less reactive metals.

Magnesium reacts visibly. Aluminium appears inactive.

It would be tempting to conclude that magnesium is more reactive than aluminium. However, the comparison isn’t fair.

The aluminium oxide layer prevents the solution from making effective contact with the underlying metal. You’re observing the behaviour of a coated surface, not simply comparing the underlying metals’ tendency to lose electrons.

Surface area creates another problem. A powdered metal exposes much more surface than a single strip of the same mass.

To improve the investigation:

  1. Use metal samples with comparable exposed surface areas.
  2. Clean and prepare the surfaces consistently.
  3. Keep solution concentration and volume constant.
  4. Maintain the same temperature and mixing conditions.
  5. Use the same observation intervals.
  6. Repeat the tests to check that the observations are consistent.

For metals that form protective oxide layers, record the surface preparation and the time between cleaning and immersion. Aluminium can develop a new oxide coating very quickly.

There is an important distinction here:

  • Greater exposed surface area generally increases the reaction rate.
  • A protective surface coating can suppress the observed reaction rate.
  • Neither effect, by itself, changes the tabulated standard reduction potential of the underlying metal/ion couple.

The activity series should be based on controlled evidence, not simply on which sample produces the most dramatic reaction in the first few seconds.

Worked example: Determine the order of three metals

Three metals, A, B, and C, are tested in solutions containing their respective \(2+\) ions.

The following results are recorded:

  • Metal A displaces B from a solution containing \(\mathrm{B^{2+}}\) ions.
  • Metal B displaces C from a solution containing \(\mathrm{C^{2+}}\) ions.
  • Metal C does not displace A from a solution containing \(\mathrm{A^{2+}}\) ions.

Determine the order of reactivity.

Step 1

A displaces B ions, meaning A atoms lose electrons more readily than B atoms.

Therefore:

\[ \mathrm{A > B} \]

Step 2

B displaces C ions, so B is more reactive than C.

\[ \mathrm{B > C} \]

Step 3

The order is:

\[ \boxed{\mathrm{A > B > C}} \]

The third observation is consistent with this order because C cannot displace the more reactive metal A.

Notice that we haven’t compared how quickly the deposits form. We’ve established the direction of the displacement reactions.


03Using standard reduction potentials to predict reactivity

Experimental observations are useful, but sometimes you need to predict a reaction before performing it.

This is where standard reduction potentials become useful.

A standard reduction potential, \(E^\circ\), measures the tendency of a chemical species to gain electrons under standard conditions, relative to the standard hydrogen electrode.

The important detail is that standard reduction potential tables write every half-equation as a reduction.

Consider these approximate values at \(25^\circ\mathrm{C}\):

Reduction half-equation\(E^\circ\) (V)
\(\ce{Mg^2+ + 2e^- -> Mg}\)\(-2.37\)
\(\ce{Al^3+ + 3e^- -> Al}\)\(-1.66\)
\(\ce{Zn^2+ + 2e^- -> Zn}\)\(-0.76\)
\(\ce{Cu^2+ + 2e^- -> Cu}\)\(+0.34\)
\(\ce{Ag+ + e^- -> Ag}\)\(+0.80\)

These values are rounded standard reference values. Standard conditions conventionally use a temperature of \(25^\circ\mathrm{C}\), aqueous species at unit activity (approximately \(1\ \mathrm{mol\,L^{-1}}\) for dilute solutions), and gases at standard pressure.

The sign convention that catches students out

A more positive reduction potential means the species has a greater tendency to gain electrons.

A more negative reduction potential means the corresponding metal has a greater tendency to lose electrons when paired with a suitable oxidising agent.

For example:

  • Magnesium has \(E^\circ=-2.37\ \mathrm{V}\).
  • Zinc has \(E^\circ=-0.76\ \mathrm{V}\).
  • Copper has \(E^\circ=+0.34\ \mathrm{V}\).

Magnesium is the strongest reducing metal of these three. It is more readily oxidised than zinc, which is more readily oxidised than copper.

Therefore:

\[ \boxed{\mathrm{Mg > Zn > Cu}} \]

This agrees with the experimental activity series.

A common mistake is to assume that the metal with the most positive reduction potential is the most reactive metal.

That reverses the meaning of the table. A positive reduction potential describes the tendency of the ions to gain electrons, not the tendency of the metal atoms to lose them.

How to calculate the standard cell potential

The standard cell potential predicts whether a redox reaction is thermodynamically favourable under standard conditions.

Use:

\[ E^\circ_{\mathrm{cell}} = E^\circ_{\mathrm{cathode}} - E^\circ_{\mathrm{anode}} \]

Where:

  • \(E^\circ_{\mathrm{cell}}\) is the standard cell potential, measured in volts (V).
  • \(E^\circ_{\mathrm{cathode}}\) is the standard reduction potential of the half-cell undergoing reduction.
  • \(E^\circ_{\mathrm{anode}}\) is the standard reduction potential of the half-cell undergoing oxidation.

Both values must be taken from the reduction potential table. Don’t change the sign of the anode value before substituting into this formula.

Interpret the result:

Standard cell potentialPrediction in the written direction
\(E^\circ_{\mathrm{cell}}>0\)Thermodynamically spontaneous under standard conditions
\(E^\circ_{\mathrm{cell}}<0\)Not thermodynamically spontaneous under standard conditions
\(E^\circ_{\mathrm{cell}}=0\)No net thermodynamic driving force under standard conditions

A positive result does not tell you how quickly the reaction will occur.

In this apparatus, zinc loses electrons at the anode, while copper(II) ions gain electrons at the cathode.

The voltmeter measures the potential difference between the two half-cells. Under standard conditions, the result is predicted using the tabulated standard reduction potentials.

Individual standard reduction potentials are defined relative to the standard hydrogen electrode. The cell shown above measures the difference between two half-cell potentials.

For a more detailed explanation of this measurement, see the University of Sydney’s cell potential resource.

Worked example: Will zinc displace copper?

A zinc strip is placed in a solution containing copper(II) ions.

Given:

\[ \begin{aligned} E^\circ_{\ce{Zn^2+/Zn}}&=-0.76\ \mathrm{V}\\ E^\circ_{\ce{Cu^2+/Cu}}&=+0.34\ \mathrm{V} \end{aligned} \]

Calculate the standard cell potential and predict whether the reaction is thermodynamically favourable.

Step 1

Zinc loses electrons:

\[ \ce{Zn -> Zn^2+ + 2e^-} \]

Copper(II) ions gain electrons:

\[ \ce{Cu^2+ + 2e^- -> Cu} \]

Therefore, zinc is the anode and copper is the cathode.

Step 2

\[ E^\circ_{\mathrm{anode}}=-0.76\ \mathrm{V} \]

\[ E^\circ_{\mathrm{cathode}}=+0.34\ \mathrm{V} \]

Step 3

\[ \begin{aligned} E^\circ_{\mathrm{cell}} &=E^\circ_{\mathrm{cathode}} -E^\circ_{\mathrm{anode}}\\ &=0.34-(-0.76)\\ &=\boxed{+1.10\ \mathrm{V}} \end{aligned} \]

Step 4

The positive standard cell potential means the forward reaction is thermodynamically favourable under standard conditions.

Therefore:

\[ \ce{Zn(s) + Cu^2+(aq) -> Zn^2+(aq) + Cu(s)} \]

Zinc can displace copper from a solution containing copper(II) ions.

However, \(+1.10\ \mathrm{V}\) does not mean the reaction happens quickly. It predicts the thermodynamic direction, not the reaction rate.


04Why a thermodynamically favourable reaction can be slow

Here’s the central idea that connects reactivity and kinetics.

Imagine rolling a ball towards a lower platform. The destination is lower than the starting point, but a high wall blocks the path.

The ball has a favourable final destination, yet it cannot reach it without overcoming the wall.

Chemical reactions have a similar distinction.

  • Thermodynamics describes the difference between the initial and final states.
  • Kinetics describes how quickly the reaction progresses and the barriers involved.

The analogy has limits: molecules don’t literally roll along a hill. The energy profile represents changes in the system’s energy along a reaction pathway.

Activation energy is not the same as reaction favourability

Activation energy, \(E_a\), is the minimum energy barrier that must be overcome along a reaction pathway.

A reaction may have:

  • A negative overall Gibbs free energy change, meaning the forward reaction is thermodynamically favourable.
  • A substantial activation energy, meaning relatively few reacting particles can overcome the barrier at a given temperature.

The reaction can therefore be favourable but slow.

For an electrochemical reaction under standard conditions, a positive \(E^\circ_{\mathrm{cell}}\) corresponds to a negative standard Gibbs free energy change.

However, \(E^\circ_{\mathrm{cell}}\) does not give you the activation energy.

This is why you cannot use the size of a standard cell potential to calculate the reaction rate.

Where surface area fits in

Surface area affects the number of places where reacting particles can interact.

Consider two samples containing the same mass of zinc:

  • Sample A is one solid strip.
  • Sample B is finely divided zinc powder.

The powder exposes more zinc surface to the solution. More copper(II) ions can interact with the zinc surface at the same time, so the reaction can proceed faster.

But both samples contain zinc.

Their standard reduction potential is the same. Their position in the activity series is the same.

Only their physical surface conditions differ.

This is an important distinction:

Increasing surface area can increase reaction rate without making the metal intrinsically more reactive.

For a more detailed explanation of how surface area, concentration, temperature, and catalysts affect reaction speed, see Factors Affecting Reaction Rate: HSC Chemistry Explained.

If you need to develop a complete collision-theory explanation for an exam response, see How to Explain Reaction-Rate Changes in HSC Chemistry.

Worked example: Calculate a reaction rate without confusing it with reactivity

A student investigates zinc reacting with copper(II) sulfate.

Two samples contain the same mass of zinc. One is a strip, and the other is powder.

Both are placed in separate \(50.0\ \mathrm{mL}\) portions of \(0.100\ \mathrm{mol\,L^{-1}}\) copper(II) sulfate at \(25^\circ\mathrm{C}\).

After \(90.0\ \mathrm{s}\), the student recovers the following masses of dry copper:

SampleForm of zincCopper produced
AOne strip0.0636 g
BPowder0.191 g

Calculate the average rate of copper(II) ion consumption for each sample.

Assume the recovered deposits are pure copper, no copper is lost during collection, and the reaction follows a 1:1 mole ratio between copper(II) ions consumed and copper atoms produced.

Step 1

Use the molar mass of copper:

\[ M(\ce{Cu})=63.55\ \mathrm{g\,mol^{-1}} \]

For sample A:

\[ \begin{aligned} n(\ce{Cu}) &=\frac{m}{M}\\ &=\frac{0.0636}{63.55}\\ &=1.00\times10^{-3}\ \mathrm{mol} \end{aligned} \]

For sample B:

\[ \begin{aligned} n(\ce{Cu}) &=\frac{0.191}{63.55}\\ &=3.01\times10^{-3}\ \mathrm{mol} \end{aligned} \]

Step 2

Because one mole of \(\mathrm{Cu}^{2+}\) produces one mole of copper, the moles of copper produced equal the moles of copper(II) ions consumed.

Use:

\[ \Delta c=\frac{\Delta n}{V} \]

The solution volume is:

\[ 50.0\ \mathrm{mL}=0.0500\ \mathrm{L} \]

For sample A:

\[ \Delta c_A =\frac{1.00\times10^{-3}}{0.0500} =0.0200\ \mathrm{mol\,L^{-1}} \]

For sample B:

\[ \Delta c_B =\frac{3.01\times10^{-3}}{0.0500} =0.0602\ \mathrm{mol\,L^{-1}} \]

Step 3

Average rate of copper(II) ion consumption:

\[ \text{Rate}=\frac{\Delta c}{\Delta t} \]

For sample A:

\[ \begin{aligned} \text{Rate}_A &=\frac{0.0200}{90.0}\\ &=\boxed{2.22\times10^{-4}\ \mathrm{mol\,L^{-1}\,s^{-1}}} \end{aligned} \]

For sample B:

\[ \begin{aligned} \text{Rate}_B &=\frac{0.0602}{90.0}\\ &=\boxed{6.69\times10^{-4}\ \mathrm{mol\,L^{-1}\,s^{-1}}} \end{aligned} \]

Step 4

Sample B has an average reaction rate approximately three times that of sample A.

The powdered zinc has a greater exposed surface area, allowing more copper(II) ions to interact with the metal surface.

However, both samples contain the same metal. This experiment demonstrates a difference in reaction rate, not a difference in the intrinsic reactivity of zinc.


05The aluminium example: when observations appear to contradict the activity series

Aluminium is an excellent example of why you must consider surface conditions.

Its standard reduction potential is approximately:

\[ E^\circ_{\ce{Al^3+/Al}}=-1.66\ \mathrm{V} \]

This is more negative than the standard reduction potential of copper:

\[ E^\circ_{\ce{Cu^2+/Cu}}=+0.34\ \mathrm{V} \]

The thermodynamic prediction is that aluminium should displace copper from a solution containing copper(II) ions.

The balanced ionic equation is:

\[ \ce{2Al(s) + 3Cu^2+(aq) -> 2Al^3+(aq) + 3Cu(s)} \]

Calculate the standard cell potential:

\[ \begin{aligned} E^\circ_{\mathrm{cell}} &=E^\circ_{\mathrm{cathode}} -E^\circ_{\mathrm{anode}}\\ &=0.34-(-1.66)\\ &=\boxed{+2.00\ \mathrm{V}} \end{aligned} \]

The reaction is thermodynamically favourable under standard conditions.

But if you place an ordinary aluminium strip into copper(II) sulfate solution, you may initially observe very little.

Why?

Aluminium rapidly forms a thin, protective aluminium oxide layer when exposed to oxygen. This coating is called a passivating layer.

It separates the underlying aluminium from the surrounding solution, making electron transfer difficult.

Once the protective layer is breached, the underlying aluminium can react with copper(II) ions. A copper deposit can form, and the aluminium is oxidised.

The oxide layer can also reform when fresh aluminium is exposed to air.

This explains why aluminium can be highly reactive according to the activity series but still resist corrosion in everyday conditions.

The protective oxide layer is not evidence that aluminium is an unreactive metal. It is evidence that the surface can prevent the underlying metal from reacting readily.

The Royal Society of Chemistry demonstrates this effect in its aluminium and copper(II) sulfate practical investigation.

Three things to check when an observation looks surprising

ObservationPossible explanationWhat it tells you
Powder reacts faster than a strip of the same metal.Greater exposed surface area.A difference in reaction rate.
A reactive metal shows little visible reaction.A protective oxide layer may be blocking the surface.The observation may not reveal the metal’s underlying reactivity.
A reaction has a positive standard cell potential but proceeds slowly.A substantial kinetic barrier or surface limitation.Thermodynamic favourability does not guarantee a fast reaction.

The lesson is to interpret the observation before drawing a conclusion about the activity series.


06A practical decision method for HSC questions

When a question combines reactivity and reaction rate, identify what the question is actually asking.

Question wordingWhat you should use
Will metal A displace metal B from its ions?Activity series or standard cell potential.
Which metal is more reactive?Relative tendency to lose electrons; compare the activity series or standard reduction potentials.
Which sample reacts faster?Reaction-rate measurements under controlled conditions.
Why does powdered metal react faster?Greater exposed surface area and more opportunities for successful collisions.
Why does aluminium appear unreactive?Passivation by its protective oxide layer.
Why is a favourable reaction slow?A kinetic barrier or limitation at the reacting surface.
No visible change occurred after two minutes.State that no detectable reaction occurred during that observation period. Investigate possible kinetic and surface limitations before claiming the reaction is impossible.

A useful exam response should make the distinction explicit.

For a reactivity question:

Metal A is more reactive than metal B because A atoms are more readily oxidised, transferring electrons to B ions, which are reduced to form solid B.

For a reaction-rate question:

Sample A has a higher reaction rate because a greater quantity of product forms per unit time. This does not, by itself, establish that metal A is more reactive than metal B.

And if the question asks you to evaluate experimental evidence, identify which variables were controlled and whether the metal surfaces were comparable.

That last step is often what separates a convincing explanation from a list of observations.

07Questions and solutions

Question 1

An iron nail is placed in a blue copper(II) sulfate solution. After several minutes, a reddish-brown solid forms on the nail, and the blue colour of the solution becomes paler.

(a) Write the balanced ionic equation for the reaction.

(b) Identify which metal is more reactive and explain your reasoning using oxidation and reduction.

Solution 1

Iron is more reactive than copper. The iron displaces copper from the copper(II) sulfate solution because iron atoms lose electrons to copper(II) ions.

(a) The balanced ionic equation is:

\[ \ce{Fe(s) + Cu^2+(aq) -> Fe^2+(aq) + Cu(s)} \]

(b) Iron is oxidised:

\[ \ce{Fe(s) -> Fe^2+(aq) + 2e^-} \]

Copper(II) ions are reduced:

\[ \ce{Cu^2+(aq) + 2e^- -> Cu(s)} \]

Iron transfers electrons to copper(II) ions, producing solid copper on the nail.

Because iron displaces copper, iron has a greater tendency to undergo oxidation and is higher in the activity series.

Question 2

A student investigates the reaction between iron metal and silver ions.

The relevant standard reduction potentials are:

Reduction half-equation\(E^\circ\) (V)
\(\ce{Ag+ + e^- -> Ag}\)\(+0.80\)
\(\ce{Fe^2+ + 2e^- -> Fe}\)\(-0.44\)

The proposed overall reaction is:

\[ \ce{Fe(s) + 2Ag+(aq) -> Fe^2+(aq) + 2Ag(s)} \]

(a) Calculate the standard cell potential.

(b) Predict whether the reaction is thermodynamically spontaneous under standard conditions.

(c) Identify the anode and cathode.

(d) Explain why the calculated cell potential cannot establish how quickly the reaction will occur.

Solution 2

The reaction is thermodynamically spontaneous under standard conditions, with a standard cell potential of \(+1.24\ \mathrm{V}\). Iron is the anode, and silver is the cathode.

(a) Use:

\[ E^\circ_{\mathrm{cell}} = E^\circ_{\mathrm{cathode}} - E^\circ_{\mathrm{anode}} \]

Silver ions undergo reduction, while iron undergoes oxidation.

Substitute:

\[ \begin{aligned} E^\circ_{\mathrm{cell}} &=0.80-(-0.44)\\ &=\boxed{+1.24\ \mathrm{V}} \end{aligned} \]

(b) The positive cell potential indicates that the forward reaction is thermodynamically favourable under standard conditions.

(c) Iron is the anode because oxidation occurs there:

\[ \ce{Fe(s) -> Fe^2+(aq) + 2e^-} \]

Silver is the cathode because reduction occurs there:

\[ \ce{2Ag+(aq) + 2e^- -> 2Ag(s)} \]

Electrons flow from the iron electrode towards the silver electrode through the external circuit.

(d) The standard cell potential predicts the thermodynamic tendency of the reaction to proceed in the forward direction.

It does not measure the activation energy or the number of successful collisions occurring each second.

The reaction could therefore have a positive standard cell potential but proceed slowly because of kinetic limitations.

Question 3

Two students investigate the reaction between magnesium and excess hydrochloric acid.

Both experiments use the same mass of magnesium, the same acid concentration, the same acid volume, and a temperature of \(25^\circ\mathrm{C}\).

One sample contains magnesium ribbon, while the other contains finely divided magnesium powder.

The following cumulative hydrogen gas volumes are recorded:

Time (s)Magnesium ribbon (mL)Magnesium powder (mL)
10.012.030.0
40.031.078.0

(a) Calculate the average rate of hydrogen production for each sample between 10.0 and 40.0 seconds.

(b) Which sample has the faster reaction rate?

(c) Explain why this experiment does not show that powdered magnesium is more reactive than magnesium ribbon.

Solution 3

The powdered magnesium has the faster reaction rate, but both samples have the same intrinsic chemical reactivity. The difference is caused by their exposed surface areas.

(a) Calculate the average rate using:

\[ \text{Average rate} = \frac{\text{change in gas volume}}{\text{time interval}} \]

The time interval is:

\[ \Delta t=40.0-10.0=30.0\ \mathrm{s} \]

For magnesium ribbon:

\[ \begin{aligned} \text{Rate} &=\frac{31.0-12.0}{30.0}\\ &=\frac{19.0}{30.0}\\ &=\boxed{0.633\ \mathrm{mL\,s^{-1}}} \end{aligned} \]

For powdered magnesium:

\[ \begin{aligned} \text{Rate} &=\frac{78.0-30.0}{30.0}\\ &=\frac{48.0}{30.0}\\ &=\boxed{1.60\ \mathrm{mL\,s^{-1}}} \end{aligned} \]

(b) Powdered magnesium has the faster reaction rate.

Its average hydrogen production rate is approximately:

\[ \frac{1.60}{0.633}=2.53 \]

Therefore, it produces hydrogen approximately 2.53 times faster over the specified interval.

(c) Both samples contain magnesium, so their position in the activity series is identical.

The powder has a greater exposed surface area than the ribbon. This allows more hydrochloric acid particles to interact with the magnesium surface at the same time.

The frequency of successful collisions increases, resulting in a faster reaction.

The experiment demonstrates an effect of surface area on reaction rate, not a change in the chemical reactivity of magnesium.

Question 4

A student compares magnesium and zinc reacting with dilute hydrochloric acid.

The experiments use:

  • \(0.50\ \mathrm{g}\) of each metal.
  • \(50.0\ \mathrm{mL}\) of \(0.50\ \mathrm{mol\,L^{-1}}\) hydrochloric acid.
  • A constant temperature of \(25^\circ\mathrm{C}\).

The magnesium is supplied as a solid strip with an exposed surface area of \(3.0\ \mathrm{cm^2}\). The zinc is supplied as fine powder with a considerably greater total exposed surface area.

The zinc powder produces hydrogen more rapidly during the first 30 seconds.

The standard reduction potentials are:

Reduction half-equation\(E^\circ\) (V)
\(\ce{Mg^2+ + 2e^- -> Mg}\)\(-2.37\)
\(\ce{Zn^2+ + 2e^- -> Zn}\)\(-0.76\)
\(\ce{2H+ + 2e^- -> H2}\)\(0.00\)

(a) Explain why the experimental result does not establish that zinc is more reactive than magnesium.

(b) Calculate the standard cell potential for each metal reacting with hydrogen ions.

(c) Use the results to establish the relative reactivity of magnesium and zinc.

(d) Describe how you would improve the experiment to investigate the effect of metal identity on reaction rate more fairly.

Solution 4

The faster initial hydrogen production does not establish that zinc is more reactive than magnesium. The zinc powder has a much greater exposed surface area, so the experiment does not isolate the effect of metal identity.

(a) The two experiments have different exposed surface areas.

The powdered zinc provides more surface for hydrochloric acid particles to interact with, increasing the number of successful collisions per second.

Consequently, zinc can produce hydrogen faster in this particular comparison, even though magnesium has a greater tendency to undergo oxidation.

(b) For magnesium, the oxidation half-equation is:

\[ \ce{Mg -> Mg^2+ + 2e^-} \]

Hydrogen ions undergo reduction:

\[ \ce{2H+ + 2e^- -> H2} \]

Therefore:

\[ \begin{aligned} E^\circ_{\mathrm{cell}} &=0.00-(-2.37)\\ &=\boxed{+2.37\ \mathrm{V}} \end{aligned} \]

For zinc:

\[ \ce{Zn -> Zn^2+ + 2e^-} \]

Therefore:

\[ \begin{aligned} E^\circ_{\mathrm{cell}} &=0.00-(-0.76)\\ &=\boxed{+0.76\ \mathrm{V}} \end{aligned} \]

Both reactions are thermodynamically favourable under standard conditions.

(c) Magnesium has the more negative standard reduction potential.

This means magnesium is more readily oxidised than zinc when paired with hydrogen ions.

Therefore:

\[ \boxed{\mathrm{Mg > Zn}} \]

Magnesium is higher in the activity series, even though the zinc powder produced hydrogen faster in the experiment.

(d) To investigate the effect of metal identity more fairly:

  • Use comparable exposed surface areas for both metals.
  • Prepare the metal surfaces consistently.
  • Keep acid concentration, volume, and temperature constant.
  • Use the same apparatus to collect hydrogen.
  • Record hydrogen production over identical time intervals.
  • Repeat the trials to check reliability.

The comparison should minimise differences in surface area and surface condition so that metal identity can be investigated more directly.

Even with these controls, a measured rate is a kinetic observation. The activity series and standard reduction potentials provide the stronger basis for predicting the relative tendency of the metals to undergo oxidation.

Question 5

A chemistry student investigates three metals:

  • Metal X is aluminium.
  • Metal Y is zinc.
  • Metal Z is copper.

The standard reduction potentials are:

Reduction half-equation\(E^\circ\) (V)
\(\ce{Al^3+ + 3e^- -> Al}\)\(-1.66\)
\(\ce{Zn^2+ + 2e^- -> Zn}\)\(-0.76\)
\(\ce{Cu^2+ + 2e^- -> Cu}\)\(+0.34\)

Three displacement experiments are conducted at \(25^\circ\mathrm{C}\), using solutions at standard concentrations.

Experiment A: An unabraded aluminium strip is placed in zinc sulfate solution. No visible reaction occurs during the first five minutes. After a small region of the protective surface coating is breached, a zinc deposit begins forming at that location.

Experiment B: Finely divided zinc is placed in copper(II) sulfate solution. Copper forms rapidly on the zinc particles.

Experiment C: An aluminium strip with its protective surface coating breached is placed in copper(II) sulfate solution. A copper deposit forms.

A student makes the following claims:

  1. Zinc is the most reactive metal because Experiment B appears to proceed fastest.
  2. Aluminium is less reactive than zinc because no visible reaction initially occurred in Experiment A.
  3. The standard reduction potentials and experimental observations are contradictory.

(a) Write balanced ionic equations for all three displacement reactions.

(b) Calculate the standard cell potential for each reaction.

(c) Determine the correct order of reactivity.

(d) Evaluate all three student claims. Explain why comparing the apparent rates of Experiments A and B cannot establish the relative reactivity of aluminium and zinc.

(e) Propose a more reliable method for investigating the relative reactivity of aluminium and zinc experimentally.

Solution 5

Aluminium is the most reactive metal, followed by zinc and then copper. The observations do not contradict the standard reduction potentials. The apparent differences in reaction behaviour are explained by surface passivation and unequal exposed surface areas.

(a) Write the balanced ionic equations.

Experiment A:

\[ \ce{2Al(s) + 3Zn^2+(aq) -> 2Al^3+(aq) + 3Zn(s)} \]

Experiment B:

\[ \ce{Zn(s) + Cu^2+(aq) -> Zn^2+(aq) + Cu(s)} \]

Experiment C:

\[ \ce{2Al(s) + 3Cu^2+(aq) -> 2Al^3+(aq) + 3Cu(s)} \]

In each reaction, the solid metal is oxidised, while the ions of the less reactive metal are reduced.

(b) Calculate the standard cell potentials.

For Experiment A, aluminium is oxidised and zinc ions are reduced:

\[ \begin{aligned} E^\circ_{\mathrm{cell}} &=E^\circ_{\ce{Zn^2+/Zn}} -E^\circ_{\ce{Al^3+/Al}}\\ &=-0.76-(-1.66)\\ &=\boxed{+0.90\ \mathrm{V}} \end{aligned} \]

For Experiment B, zinc is oxidised and copper ions are reduced:

\[ \begin{aligned} E^\circ_{\mathrm{cell}} &=E^\circ_{\ce{Cu^2+/Cu}} -E^\circ_{\ce{Zn^2+/Zn}}\\ &=+0.34-(-0.76)\\ &=\boxed{+1.10\ \mathrm{V}} \end{aligned} \]

For Experiment C, aluminium is oxidised and copper ions are reduced:

\[ \begin{aligned} E^\circ_{\mathrm{cell}} &=E^\circ_{\ce{Cu^2+/Cu}} -E^\circ_{\ce{Al^3+/Al}}\\ &=+0.34-(-1.66)\\ &=\boxed{+2.00\ \mathrm{V}} \end{aligned} \]

All three standard cell potentials are positive.

Therefore, all three forward reactions are thermodynamically favourable under standard conditions.

(c) Compare the standard reduction potentials of the metals.

\[ -1.66\ \mathrm{V}<-0.76\ \mathrm{V}<+0.34\ \mathrm{V} \]

Aluminium has the most negative reduction potential, followed by zinc and copper.

Therefore:

\[ \boxed{\mathrm{Al > Zn > Cu}} \]

(d) Evaluate the student’s claims.

Claim 1 is incorrect.

Experiment B appears faster, but it uses powdered zinc, which has a much greater exposed surface area than the aluminium strip in Experiment A.

The experiments also involve different metal-ion pairs. They do not provide a controlled comparison of the reaction rates of aluminium and zinc.

Claim 2 is also incorrect.

The initial absence of visible change in Experiment A is explained by the protective aluminium oxide layer.

This layer prevents effective contact between the zinc ions and the underlying aluminium. Once the coating is breached, zinc begins depositing, confirming that the displacement reaction can occur.

Claim 3 is incorrect.

The standard reduction potentials predict the thermodynamic direction of the reactions. The observations describe their actual behaviour under the experimental surface conditions.

These are different types of evidence, and they are consistent with one another.

There is another subtle point worth noticing.

Experiment B has a higher standard cell potential than Experiment A, but this does not mean it must proceed faster.

A cell potential is not a measurement of reaction rate. Furthermore, the balanced reactions transfer different numbers of electrons: six in Experiment A and two in Experiment B. Comparing their voltages as though they were direct measurements of total reaction energy would also be incorrect.

(e) A more reliable investigation would use reciprocal displacement tests with carefully controlled metal surfaces.

For example:

  • Place consistently prepared aluminium samples into zinc sulfate solution.
  • Place consistently prepared zinc samples into aluminium ion solution.
  • Use equal exposed surface areas, equal solution concentrations and volumes, and the same temperature.
  • Minimise the time between aluminium surface preparation and immersion.
  • Repeat the trials and record the observations over consistent time intervals.

Because aluminium rapidly reforms its protective oxide coating, its surface condition must be considered when interpreting the results.

Alternatively, standard reduction potentials provide a more direct way to compare the thermodynamic tendency of the two metal/ion couples.

The strongest conclusion comes from combining the evidence rather than treating one visual observation as definitive.


The same reasoning becomes useful when you move into galvanic cells and corrosion. The activity series predicts which metal is more readily oxidised, standard cell potentials predict the thermodynamic direction of electron transfer, and surface conditions help explain how quickly corrosion actually develops.