Why No Visible Change Does Not Mean a Reaction Is Impossible

A reaction can be thermodynamically favourable yet produce no obvious visible change. Learn how the metal activity series, reaction kinetics, and protective surface coatings explain this apparent contradiction.

A piece of metal sits in dilute hydrochloric acid. You wait 30 seconds. There are no bubbles, no colour change, and no obvious damage to the metal. Does that prove a reaction cannot occur?

No. It proves only that your observation method detected no visible change within 30 seconds under those particular conditions. The reaction might be thermodynamically favourable but too slow to observe, or a protective layer might be preventing the acid from reaching the metal underneath.

This distinction matters when using the metal activity series. A metal’s position helps predict whether a reaction is thermodynamically favourable. It does not guarantee that the reaction will happen quickly enough to produce an obvious observation.

To understand why, we need to separate three things: the thermodynamic driving force, the reaction rate, and the condition of the metal’s surface.

01Three different questions hiding behind one observation

Imagine that you are trying to move a heavy trolley down a ramp.

The slope determines which direction the trolley would naturally move. However, a locked gate across the ramp could prevent it from moving, even though the slope is pointing downhill.

Chemical reactions have a similar distinction.

Chemical questionWhat it tells you
Is the reaction thermodynamically favourable?Whether the forward reaction is energetically favoured under the specified conditions
How quickly does the reaction occur?The reaction rate, or how fast reactants are converted into products
Can reactants reach the reacting surface?Whether surface coatings or other physical barriers are restricting the reaction

The analogy is useful, but it has a limit. Chemical particles do not move down a physical ramp. Their reactions involve changes in energy, collisions, electron transfer, and the formation of products.

Let’s put proper chemical terms around these three questions.

1. Thermodynamics: is the reaction favoured?

Thermodynamics tells us whether a reaction is favourable in a particular direction.

In the 2017 Chemistry Stage 6 syllabus, this is connected to Gibbs free energy, represented by \(\Delta G\).

The relationship is:

\[ \Delta G = \Delta H-T\Delta S \]

where:

  • \(\Delta G\) is the Gibbs free-energy change, measured in \(\mathrm{kJ\,mol^{-1}}\).
  • \(\Delta H\) is the enthalpy change, measured in \(\mathrm{kJ\,mol^{-1}}\).
  • \(T\) is the absolute temperature, measured in kelvin.
  • \(\Delta S\) is the entropy change, measured in \(\mathrm{kJ\,K^{-1}\,mol^{-1}}\).

The sign of \(\Delta G\) tells us about the thermodynamic direction:

Gibbs free-energy changeInterpretation
\(\Delta G<0\)Forward reaction is thermodynamically spontaneous
\(\Delta G=0\)System is at equilibrium
\(\Delta G>0\)Forward reaction is thermodynamically unfavourable

Here, spontaneous does not mean instantaneous.

A reaction can have a negative Gibbs free-energy change and still proceed extremely slowly.

Also, the sign of \(\Delta G\) applies to specified conditions. Changing concentrations or temperature can change the thermodynamic prediction.

Syllabus note: Gibbs free energy is included in Year 11 Module 4, Drivers of Reactions, of the Chemistry Stage 6 Syllabus (2017). That syllabus remains in use until implementation of the Chemistry 11-12 Syllabus (2025), beginning in 2028. This article uses Gibbs free energy as a conceptual connection, not as a claim that its calculations are required under the 2025 syllabus. See the NESA Chemistry syllabus information.

2. Kinetics: how quickly does the reaction happen?

Kinetics studies reaction rates.

A reaction rate describes how quickly the concentration of a reactant decreases or the concentration of a product increases.

Even when a reaction is thermodynamically favourable, it may have a large activation energy.

Activation energy, \(E_a\), is the minimum energy barrier that reacting particles must overcome for the reaction to proceed.

A high activation energy can make a reaction very slow at room temperature.

Heating can increase reaction rate because a greater proportion of particles have sufficient energy to overcome the activation energy barrier.

Increasing concentration can also increase the frequency of successful collisions in many reactions.

For reactions involving solid metals, however, there is another important consideration: the metal’s surface.

3. Surface effects: can the reactants reach the metal?

A metal reacts with a solution at its exposed surface.

If the surface is covered by a layer of oxide, an insoluble salt, grease, or another material, the solution may struggle to reach the underlying metal.

This can dramatically reduce the reaction rate.

There are three useful surface effects to recognise:

  • Oxide layers: A metal can develop a protective oxide coating that prevents further contact with reactants.
  • Product coatings: A reaction can produce an insoluble solid that builds up on the metal and restricts further reaction.
  • Surface area: A larger exposed surface generally allows more reaction to occur simultaneously, increasing the reaction rate.

Notice something important: these effects can change how quickly a reaction occurs without changing the metal’s fundamental position in the activity series.

02What the metal activity series actually predicts

The metal activity series ranks metals according to their relative tendency to lose electrons and become positive ions.

A simplified section is:

\[ \ce{Mg > Al > Zn > Fe > Pb > H > Cu > Ag} \]

Hydrogen is included as a reference point, even though it is not a metal.

For reactions with dilute, non-oxidising acids:

  • Metals above hydrogen can generally displace hydrogen ions, producing hydrogen gas.
  • Metals below hydrogen do not spontaneously displace hydrogen from these acids under ordinary conditions.

For example, magnesium reacts with hydrogen ions:

\[ \ce{Mg(s) + 2H+(aq) -> Mg^2+(aq) + H2(g)} \]

Magnesium atoms lose electrons and become magnesium ions. Hydrogen ions gain electrons and form hydrogen gas.

Copper, on the other hand, does not spontaneously displace hydrogen ions from dilute hydrochloric acid.

The activity series predicts this difference in reaction direction.

It does not tell you exactly how many seconds a reaction will take, how many bubbles you will see, or whether a protective surface layer will prevent an obvious result.

If you need to construct the series from experimental evidence, see How to Build a Metal Activity Series from Displacement Results.

03An experimental puzzle: why does lead appear unreactive?

Consider a particularly useful example.

Lead sits above hydrogen in the activity series. Therefore, you would predict that lead can react with hydrogen ions in dilute hydrochloric acid.

The expected net ionic reaction is:

\[ \ce{Pb(s) + 2H+(aq) -> Pb^2+(aq) + H2(g)} \]

Lead atoms are oxidised to lead(II) ions, while hydrogen ions are reduced to hydrogen gas.

Yet lead can show almost no noticeable reaction with dilute hydrochloric acid.

Has the activity series failed?

No. The missing piece is the formation of an insoluble product layer.

What happens at the lead surface?

When lead begins reacting, lead(II) ions form near its surface.

The hydrochloric acid also contains chloride ions, \(\mathrm{Cl}^{-}\).

These ions combine:

\[ \ce{Pb^2+(aq) + 2Cl^-(aq) -> PbCl2(s)} \]

The product is lead(II) chloride, an insoluble or sparingly soluble salt.

It can accumulate on the lead surface and form a protective coating.

This coating restricts the acid’s access to fresh lead underneath.

The overall reaction can be represented as:

\[ \ce{Pb(s) + 2H+(aq) + 2Cl^-(aq) -> PbCl2(s) + H2(g)} \]

The reaction can begin, but the product gradually restricts further reaction.

This is an example of a product layer inhibiting a reaction.

The crucial point is that the coating affects the reaction rate. It does not mean lead has suddenly moved below hydrogen in the activity series.

Lead may therefore appear unreactive even though its oxidation by hydrogen ions is thermodynamically favourable under the usual activity-series prediction.

This is different from aluminium, which develops a protective aluminium oxide layer. In aluminium’s case, the oxide is already present before the metal is placed in the solution. With lead in hydrochloric acid, the lead chloride coating can form as the reaction proceeds.

For a closer explanation of the aluminium example, see Why Aluminium Appears Unreactive: Oxide Layers and Reactivity.

The important contrast: lead versus copper

Now compare lead with copper.

Both metals might appear unchanged when placed in dilute hydrochloric acid, but the reasons are different.

MetalPosition relative to hydrogenExpected reactionWhy little visible change may occur
LeadAbove hydrogenThermodynamically favourable displacement of hydrogenInsoluble lead(II) chloride coating inhibits further reaction
CopperBelow hydrogenNo spontaneous displacement of hydrogen under these conditionsForward reaction is thermodynamically unfavourable

For copper, the proposed reaction would be:

\[ \ce{Cu(s) + 2H+(aq) -> Cu^2+(aq) + H2(g)} \]

However, copper is below hydrogen in the activity series. It does not readily lose electrons to hydrogen ions under ordinary dilute hydrochloric acid conditions.

So the absence of bubbles in these two experiments has different explanations.

  • Lead can react, but a product coating restricts the rate.
  • Copper does not have a favourable forward redox reaction with dilute hydrochloric acid.

This is why you should never interpret a missing observation without considering the underlying chemistry.

Also, don’t generalise the copper result to every acid. Nitric acid, for example, is an oxidising acid and can react with copper through different redox chemistry.

04How would we actually investigate the missing reaction?

Suppose a student places lead in dilute hydrochloric acid and records no visible bubbling.

The original experiment has a problem: the naked eye is not particularly sensitive to small amounts of gas.

A better investigation would measure hydrogen production over time.

The original apparatus

Imagine a small conical flask containing dilute hydrochloric acid and a metal sample.

The flask is sealed with a rubber bung. A delivery tube connects the flask to a gas syringe positioned beside it.

As hydrogen forms inside the flask, it travels through the delivery tube and pushes the syringe plunger outwards.

The volume of gas can then be recorded at regular time intervals.

For a fair comparison, the tests should control:

  • acid concentration and volume
  • temperature
  • exposed metal surface area
  • reaction time
  • gas-collection apparatus

A zinc sample can act as a positive control because it should produce hydrogen with dilute hydrochloric acid. A copper sample provides a useful comparison because it should not displace hydrogen under these conditions.

Lead is toxic, and lead compounds are hazardous. This is an explanatory experimental model, not a recommendation for an unsupervised school practical.

What should the experiment show?

The prediction is that zinc will produce measurable hydrogen, copper will produce no hydrogen through acid displacement, and lead may produce a small initial amount before its reaction slows.

Consider the following illustrative data.

Illustrative data only – these are constructed values, not recorded experimental results.

Assume each test uses 20.0 mL of 0.100 mol L\(^{-1}\) hydrochloric acid at 25°C, with comparable exposed metal surface areas.

Time (min)Lead: hydrogen volume (mL)Copper: hydrogen volume (mL)Zinc control: hydrogen volume (mL)
00.000.000.00
10.600.008.0
20.720.0014.0
50.720.0020.0
100.720.0022.0

The observations tell us three things.

Zinc: The gas syringe records a substantial increase in hydrogen volume. This confirms that the apparatus can detect gas production.

Copper: No hydrogen is detected. This is consistent with copper’s position below hydrogen in the activity series.

Lead: A small amount of hydrogen forms initially, but production quickly slows and then stops within the measurement resolution.

The lead result is particularly interesting.

It shows that a reaction has occurred, even though the total amount of hydrogen is small. The rapid decline in reaction rate is consistent with the formation of a protective lead(II) chloride coating.

The gas measurements alone do not identify the coating chemically. That interpretation comes from combining the observations with the known chemistry of lead and chloride ions.

Worked example: How much hydrogen was actually produced?

During the first minute of the lead experiment, the gas syringe records 0.60 mL of hydrogen at 25°C and 100 kPa.

Estimate the amount of hydrogen produced in moles.

Step 1

\[ V=0.60\ \mathrm{mL} \]

\[ V=0.00060\ \mathrm{L} \]

Step 2

At 25°C and approximately 100 kPa, the molar volume is approximately:

\[ V_m=24.8\ \mathrm{L\,mol^{-1}} \]

The amount of hydrogen is:

\[ n=\frac{V}{V_m} \]

Substituting:

\[ n(\ce{H2})=\frac{0.00060}{24.8} \]

\[ n(\ce{H2})=2.42\times10^{-5}\ \mathrm{mol} \]

Step 3

The experiment produced approximately:

\[ \boxed{2.42\times10^{-5}\ \mathrm{mol\ H2}} \]

This is a small quantity, but it is not zero.

A student observing the flask by eye might miss such a small amount of gas, particularly if it forms slowly or briefly.

The gas syringe provides stronger evidence than visual inspection alone.

Worked example: Has the acid run out?

The lead experiment reaches a total hydrogen volume of 0.72 mL after two minutes.

The original acid sample contained 20.0 mL of 0.100 mol L\(^{-1}\) hydrochloric acid.

Determine whether acid depletion could explain why the reaction stopped producing measurable hydrogen.

Step 1

Use:

\[ n=cV \]

where \(c\) is concentration in \(\mathrm{mol\,L^{-1}}\), and \(V\) is volume in litres.

\[ n(\mathrm{H}^{+})=0.100\times0.0200 \]

\[ n(\mathrm{H}^{+})=0.00200\ \mathrm{mol} \]

Step 2

Convert the gas volume:

\[ 0.72\ \mathrm{mL}=0.00072\ \mathrm{L} \]

Then:

\[ n(\ce{H2})=\frac{0.00072}{24.8} \]

\[ n(\ce{H2})=2.90\times10^{-5}\ \mathrm{mol} \]

Step 3

The balanced reaction requires two hydrogen ions for every hydrogen molecule:

\[ \ce{2H+ + 2Cl^- + Pb -> PbCl2 + H2} \]

Therefore:

\[ n(\mathrm{H}^{+})=2(2.90\times10^{-5}) \]

\[ n(\mathrm{H}^{+})=5.80\times10^{-5}\ \mathrm{mol} \]

Step 4

\[ \text{Fraction consumed} = \frac{5.80\times10^{-5}}{0.00200} \]

\[ =0.029 \]

Only 2.9% of the original hydrogen ions have been consumed.

The acid is clearly not exhausted.

This makes acid depletion an unlikely explanation for the reaction stopping. A protective surface coating is a much more convincing explanation.

The important experimental lesson is that a plateau in gas production does not automatically mean the reaction has reached equilibrium. A physical barrier can also cause the measured rate to become negligible.

05How to interpret a missing visible change in an exam

When a question gives you an observation of no visible reaction, don’t immediately write that no reaction occurs.

Use the following reasoning sequence.

1. Write the possible reaction.

Identify the reactants and predict the products. For a metal in acid, consider whether hydrogen ions could be reduced to hydrogen gas.

2. Check the activity series.

Does the metal sit above or below hydrogen? Does the series predict a favourable displacement under the stated conditions?

3. Consider the reaction rate.

Could a high activation energy, low temperature, or low concentration make the reaction too slow to observe?

4. Inspect the surface conditions.

Is there an oxide coating, an insoluble product layer, or another barrier preventing reactants from reaching the metal?

5. Evaluate the measurement.

Was the experiment observed for long enough? Was the detection method sensitive enough to identify a small change?

6. State the conclusion carefully.

Instead of writing:

“No reaction occurs.”

Write:

“No visible reaction was observed within the experimental time. However, the result does not establish that the reaction is thermodynamically unfavourable, as kinetic limitations or surface passivation may be restricting the reaction rate.”

That is a much stronger scientific explanation.

A useful comparison of experimental evidence

Experimental observationReasonable conclusionConclusion to avoid
No bubbles after 10 secondsNo obvious gas production was detected in that timeReaction is impossible
Small initial gas production followed by a plateauReaction began, but its rate decreased substantiallyReaction never occurred
A metal above hydrogen shows no obvious reactionInvestigate surface coatings and measurement conditionsActivity series must be incorrect
A metal below hydrogen shows no reaction with dilute HClConsistent with the thermodynamic predictionThe metal cannot react with any acid
Removing a protective coating increases reaction rateSurface condition was restricting the original reactionThe metal’s activity-series position changed

A particularly important distinction is the difference between a catalyst and a protective surface layer.

A catalyst lowers the activation energy of a reaction. It can increase the reaction rate without changing the thermodynamic driving force or equilibrium yield.

However, adding a catalyst does not necessarily solve a physical access problem. If an insoluble coating prevents the reactants from reaching the metal, that barrier still needs to be addressed.

06Questions and solutions

Question 1

An iron strip is placed into dilute hydrochloric acid at room temperature.

No visible bubbles appear during the first 15 seconds. Slow bubbling then becomes noticeable.

Explain why the initial lack of visible change does not prove that the reaction is impossible. Write the balanced net ionic equation.

Solution 1

The reaction is thermodynamically favourable, but its initial rate may have been too low for hydrogen production to be noticed.

Iron sits above hydrogen in the activity series, so it can displace hydrogen ions from dilute hydrochloric acid.

The net ionic equation is:

\[ \ce{Fe(s) + 2H+(aq) -> Fe^2+(aq) + H2(g)} \]

Iron atoms lose two electrons to form iron(II) ions:

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

Hydrogen ions gain those electrons:

\[ \ce{2H+(aq) + 2e^- -> H2(g)} \]

The absence of visible bubbles during the first 15 seconds only tells us that the gas production was not obvious during that interval.

The later appearance of bubbles confirms that the reaction was occurring.

The tempting mistake is treating the first observation as a final chemical conclusion. Reaction rate and thermodynamic favourability are different properties.

Question 2

An unknown divalent metal, M, is placed into 25.0 mL of 0.200 mol L\(^{-1}\) hydrochloric acid.

The following hydrogen volumes are recorded using a gas syringe.

Time (min)Hydrogen volume (mL)
00.00
11.20
31.80
51.80

Assume the reaction produces \(\mathrm{M}^{2+}\) ions and hydrogen gas. The gas is measured at 25°C and 100 kPa.

(a) Calculate the average reaction rate during the first minute.

(b) Calculate the average reaction rate between one and three minutes.

(c) Determine the percentage of the initial hydrogen ions consumed after three minutes.

(d) Explain why the results suggest that acid depletion is not responsible for the plateau.

Solution 2

(a) The average reaction rate during the first minute is 1.20 mL min\(^{-1}\).

The average rate of gas production is:

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

Substituting:

\[ \text{Rate}=\frac{1.20-0}{1.0-0} \]

\[ \boxed{1.20\ \mathrm{mL\,min^{-1}}} \]

This represents the average hydrogen production during the first minute.

(b) The average reaction rate between one and three minutes is 0.30 mL min\(^{-1}\).

During this interval, the hydrogen volume increases by:

\[ \Delta V=1.80-1.20=0.60\ \mathrm{mL} \]

The time interval is two minutes.

Therefore:

\[ \text{Rate}=\frac{0.60}{2.0} \]

\[ \boxed{0.30\ \mathrm{mL\,min^{-1}}} \]

The average rate has fallen substantially.

(c) Approximately 2.9% of the initial hydrogen ions have been consumed.

First, calculate the initial amount of hydrogen ions:

\[ n(\mathrm{H}^{+})=cV \]

\[ =0.200\times0.0250 \]

\[ =0.00500\ \mathrm{mol} \]

Now calculate the amount of hydrogen gas produced after three minutes:

\[ n(\ce{H2})=\frac{0.00180}{24.8} \]

\[ =7.26\times10^{-5}\ \mathrm{mol} \]

The reaction requires two hydrogen ions per hydrogen molecule:

\[ n(\mathrm{H}^{+}\text{ consumed}) = 2(7.26\times10^{-5}) \]

\[ =1.45\times10^{-4}\ \mathrm{mol} \]

The percentage consumed is:

\[ \frac{1.45\times10^{-4}}{0.00500}\times100 \]

\[ \boxed{2.9\%} \]

(d) Acid depletion is unlikely because approximately 97.1% of the initial hydrogen ions remain.

The reaction rate has decreased even though almost all the acid remains available.

A protective product coating or another surface-related limitation could explain the decline.

However, the gas measurements alone cannot identify the exact surface process. Further investigation would be needed.

The important reasoning is that a reaction plateau does not automatically mean the reactants have been exhausted.

Question 3

Two metal strips, aluminium and zinc, are placed separately into identical samples of copper(II) sulfate solution.

Both strips have the same exposed surface area and are kept at the same temperature.

After two minutes:

  • The zinc strip has developed a reddish-brown coating.
  • The aluminium strip shows no obvious visible change.

The aluminium surface is then prepared to expose fresh metal. A reddish-brown deposit subsequently forms.

Explain these observations and evaluate the claim that zinc must be more reactive than aluminium.

Solution 3

The observations do not establish that zinc is more reactive than aluminium. The original aluminium result is affected by its protective oxide layer.

Both metals are above copper in the activity series.

The expected displacement reactions are:

For zinc:

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

For aluminium:

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

In both cases, the metal atoms are oxidised, while copper(II) ions are reduced to copper metal.

Aluminium naturally develops a thin, strongly adherent aluminium oxide coating.

This coating restricts direct contact between the aluminium underneath and the copper ions in solution.

Consequently, the initial aluminium experiment may show little visible change even though the displacement reaction is thermodynamically favourable.

Preparing the surface exposes fresh aluminium and allows electron transfer to occur more readily.

The later copper deposit supports the explanation that the original reaction was being restricted by surface passivation.

The tempting conclusion is that the metal producing the fastest visible deposit must be higher in the activity series.

That conclusion confuses reaction rate with thermodynamic tendency. Surface condition can make one metal appear much less reactive than it actually is.

Question 4

A student observes that lead produces a small amount of hydrogen when placed in dilute hydrochloric acid. Gas production then stops.

The student suggests two solutions:

  • Increase the temperature of the acid.
  • Add a catalyst to the reaction.

Explain why neither change is guaranteed to restart the reaction. Identify a more direct way to address the likely cause.

Solution 4

Neither heating nor adding a catalyst is guaranteed to restart the reaction because the likely limitation is the protective lead(II) chloride coating.

Lead is above hydrogen in the activity series, so the reaction is thermodynamically favourable under the usual conditions.

However, the formation of insoluble \(\ce{PbCl2}\) restricts the acid’s access to fresh lead.

Increasing temperature can increase the rate of reactions occurring at accessible sites. However, it does not necessarily remove a continuous protective coating.

Similarly, a catalyst can lower the activation energy of an available reaction pathway. It does not automatically allow reactants to pass through a physical barrier.

A more direct way to address the proposed cause would be to expose fresh lead surface by removing the obstructing layer under appropriately controlled conditions.

If the coating is responsible, the reaction should become more noticeable again until another protective layer develops.

This does not change lead’s position in the activity series. It changes how accessible the metal surface is to the reacting solution.

The distinction is between improving the thermodynamic driving force, lowering an activation-energy barrier, and removing a physical restriction. These are three different chemical problems.

Question 5

An iron mesh with a total exposed surface area of 50.0 cm² is immersed in 250.0 mL of 0.0100 mol L\(^{-1}\) copper(II) sulfate solution at 25°C.

The iron mesh initially has a thin oxide coating.

After 24 hours:

  • No obvious reddish-brown copper coating can be distinguished by eye.
  • The balance, which reads to the nearest 0.01 g, shows no measurable change in the mesh’s mass.
  • The copper(II) ion concentration has decreased to 0.0090 mol L\(^{-1}\).
  • The iron(II) ion concentration has increased to 0.0010 mol L\(^{-1}\).

Assume that:

  • The solution volume remains constant.
  • Oxygen is excluded, so other oxidation reactions do not occur.
  • No other reactions or metal-containing products are present.
  • The only chemical reaction involving the metals is displacement of copper by iron.
  • The initial iron(II) ion concentration is zero.

(a) Determine whether a chemical reaction has occurred, even though no obvious visible change was observed.

(b) Calculate the amount, in moles, of copper deposited and iron dissolved.

(c) Calculate the expected net change in the mesh’s mass.

Use the molar masses:

\[ M(\ce{Fe})=55.85\ \mathrm{g\,mol^{-1}} \]

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

(d) Explain why the balance could show no measurable mass change.

(e) Evaluate whether the absence of further visible change after 24 hours proves that the reaction has reached thermodynamic equilibrium.

Solution 5

(a) A reaction has definitely occurred: iron has displaced copper(II) ions from the solution.

The net ionic equation is:

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

Iron is oxidised to iron(II) ions, while copper(II) ions are reduced to copper metal.

The decrease in copper(II) concentration and the corresponding increase in iron(II) concentration provide evidence of this reaction.

The absence of a visible deposit does not override the chemical evidence.

(b) The amount of copper deposited and iron dissolved is \(2.50\times10^{-4}\) mol each.

Start by calculating the decrease in copper(II) concentration:

\[ \Delta c=0.0100-0.0090 \]

\[ \Delta c=0.0010\ \mathrm{mol\,L^{-1}} \]

The volume is:

\[ V=250.0\ \mathrm{mL}=0.2500\ \mathrm{L} \]

The amount of copper(II) ions consumed is:

\[ n=cV \]

\[ n(\mathrm{Cu}^{2+})=0.0010\times0.2500 \]

\[ n(\mathrm{Cu}^{2+})=2.50\times10^{-4}\ \mathrm{mol} \]

The reaction has a 1:1 mole ratio between iron and copper(II) ions.

Therefore:

\[ n(\ce{Cu})=n(\ce{Fe}) \]

\[ \boxed{n(\ce{Cu})=n(\ce{Fe})=2.50\times10^{-4}\ \mathrm{mol}} \]

The increase in iron(II) concentration independently confirms this result:

\[ n(\mathrm{Fe}^{2+})=0.0010\times0.2500 \]

\[ =2.50\times10^{-4}\ \mathrm{mol} \]

The two concentration changes are consistent with the balanced equation.

(c) The mesh should gain approximately 0.0019 g.

This is where the problem becomes interesting.

An easy assumption is that equal moles of iron dissolve and copper deposit, so the mass changes cancel.

They do not cancel exactly because iron and copper have different molar masses.

First, calculate the mass of copper deposited:

\[ m(\ce{Cu})=nM \]

\[ =2.50\times10^{-4}\times63.55 \]

\[ =0.01589\ \mathrm{g} \]

Now calculate the mass of iron lost:

\[ m(\ce{Fe})=nM \]

\[ =2.50\times10^{-4}\times55.85 \]

\[ =0.01396\ \mathrm{g} \]

The net change is:

\[ \Delta m=m(\ce{Cu})-m(\ce{Fe}) \]

\[ =0.01589-0.01396 \]

\[ \boxed{\Delta m=+0.00193\ \mathrm{g}} \]

The mesh gains mass because copper has a greater molar mass than iron.

(d) The balance cannot detect the predicted mass increase because its resolution is only 0.01 g.

The expected mass increase is approximately 0.00193 g.

This is smaller than the balance’s smallest displayed increment.

Therefore, the initial and final readings could be identical even though the reaction has occurred.

There is another important factor.

The amount of copper deposited is only about 0.016 g, distributed across a mesh with an exposed area of 50.0 cm². The deposit may be discontinuous and too subtle to distinguish visually, particularly against the original surface coating.

The tempting argument is:

“No visible copper and no measurable mass change mean no reaction.”

But this ignores two measurement limitations:

  • A visual inspection may not distinguish a small or uneven deposit.
  • A balance cannot measure changes smaller than its resolution.

The solution concentration data provide stronger evidence of the reaction than either of those observations.

(e) No. The absence of further visible change does not prove that thermodynamic equilibrium has been reached.

The experiment establishes that displacement has occurred, but it does not establish why the reaction became too slow to observe.

The original oxide coating may have restricted the reaction to exposed patches. A newly formed product layer may also have reduced access to the underlying iron.

The reaction rate could therefore have become extremely small without the system reaching equilibrium.

To establish equilibrium, we would need suitable evidence that the system’s macroscopic composition is no longer changing under the specified conditions, with sufficiently sensitive measurements. A lack of visible change alone is inadequate.

There is also a deeper point: equal forward and reverse reaction rates at equilibrium do not mean that individual chemical reactions have stopped. They mean there is no net change in the system’s composition.

The final trap is assuming that an unchanged measurement must represent an unchanged chemical system.

It might simply mean that the change is smaller than the measurement can detect.

07Where this leads next

When you interpret a metal reaction, keep thermodynamic favourability, reaction kinetics, and surface accessibility separate.

The activity series helps predict the direction of a displacement reaction. Kinetics explains how quickly that reaction proceeds. Surface chemistry explains why a reaction that should occur can appear to do very little.

This distinction becomes especially useful when analysing reaction-rate graphs. A falling rate, a plateau in gas production, and a system at equilibrium are not automatically the same thing.

Being able to tell them apart is the next step towards making stronger predictions from experimental evidence.