Why Alcohol Solubility in Water Decreases Along the Series
Discover why alcohols become less soluble in water as their carbon chains grow. Explore the role of hydroxyl groups, hydrogen bonding, and non-polar hydrocarbon regions, with experimental evidence and worked HSC Chemistry questions.
Put a small amount of propan-1-ol into water and the two liquids form one clear solution. Repeat the test with pentan-1-ol and, after shaking, two liquid layers can appear.
Both alcohols contain an \(\ce{-OH}\) group. So why does one mix completely with water while the other has limited solubility?
The answer is that solubility depends on the whole molecular structure, not just the presence of a polar functional group. As the carbon chain gets longer, the non-polar hydrocarbon region grows, while the molecule still has only one \(\ce{-OH}\) group to interact strongly with water. Eventually, the hydrocarbon region becomes too large for the polar group to make the whole molecule sufficiently compatible with water.
This is why water solubility generally decreases along the straight-chain alcohol homologous series.
01What actually changes along the alcohol series?
Before explaining the trend, compare the molecular structures.
Alcohols contain a hydroxyl functional group, written as \(\ce{-OH}\). In a straight-chain primary alcohol series, each successive member gains one \(\ce{CH2}\) unit.
Consider these molecules:
| Alcohol | Condensed structural formula | Number of carbon atoms |
|---|---|---|
| Methanol | \(\ce{CH3OH}\) | 1 |
| Ethanol | \(\ce{CH3CH2OH}\) | 2 |
| Propan-1-ol | \(\ce{CH3CH2CH2OH}\) | 3 |
| Butan-1-ol | \(\ce{CH3(CH2)3OH}\) | 4 |
| Pentan-1-ol | \(\ce{CH3(CH2)4OH}\) | 5 |
| Hexan-1-ol | \(\ce{CH3(CH2)5OH}\) | 6 |
Notice two things:
- Every molecule has exactly one hydroxyl group.
- The hydrocarbon chain becomes progressively longer.
The important change is therefore not the number of hydroxyl groups. It is the increasing size of the non-polar region relative to the polar region.
What does the experimental data show?
The trend is clear when we compare the water solubilities of several straight-chain alcohols at \(25^\circ\mathrm{C}\).
| Alcohol | Approximate water solubility at \(25^\circ\mathrm{C}\) |
|---|---|
| Methanol | Miscible in all proportions |
| Ethanol | Miscible in all proportions |
| Propan-1-ol | Miscible in all proportions |
| Butan-1-ol | 7.4 g per 100 g solution |
| Pentan-1-ol | 2.20 g per 100 g solution |
| Hexan-1-ol | 0.60 g per 100 g solution |
These are representative published values, rounded from the IUPAC-NIST Solubility Data Series, Alcohols with Water.
An important detail: the numerical values refer to grams of alcohol per 100 g of saturated water-rich solution, not per 100 g of water.
The first three alcohols are miscible with water at this temperature. This means they mix in all proportions, so there is no finite saturation concentration.
The longer alcohols have limited solubility. Their solubility falls considerably as the carbon chain grows.
The decrease is substantial. Between butan-1-ol and hexan-1-ol, the solubility falls by more than a factor of twelve.
To understand why, we need to examine the interactions between the alcohol molecules and water.
02Why the hydroxyl group helps alcohols dissolve
Water is a polar molecule.
Oxygen is more electronegative than hydrogen, so the electrons in the O-H bonds are attracted towards the oxygen atom.
This produces:
- A partially negative oxygen atom, \(\delta^-\).
- Partially positive hydrogen atoms, \(\delta^+\).
Water molecules attract one another through hydrogen bonding.
Alcohols also contain an O-H bond.
This allows the hydroxyl group to participate in hydrogen bonding with water.
The alcohol’s oxygen can accept a hydrogen bond from water, while the hydrogen attached to its oxygen can donate a hydrogen bond to another water molecule.
For example:
\[ \ce{CH3CH2OH + H2O} \]
Ethanol can interact strongly with surrounding water molecules through its hydroxyl group.
This helps ethanol dissolve readily.
The same principle applies to longer alcohols. Butan-1-ol, pentan-1-ol and hexan-1-ol can all hydrogen-bond with water.
The ability to hydrogen-bond does not disappear as the carbon chain grows.
That is an important point. If the hydroxyl group remains present, why does solubility still decrease?
The answer is in the other part of the molecule.
03The growing non-polar hydrocarbon chain
Look again at the structure of an alcohol:
\[ \ce{CH3(CH2)_{n}OH} \]
There are two different regions.
The hydroxyl region, \(\ce{-OH}\)
- Polar.
- Can form hydrogen bonds with water.
- Helps the alcohol interact favourably with water.
The hydrocarbon region, containing carbon and hydrogen
- Predominantly non-polar.
- Cannot form hydrogen bonds with water.
- Interacts with neighbouring molecules mainly through London dispersion forces.
The hydrocarbon region is not actively repelled by water. However, it cannot form the same strong hydrogen-bonding interactions that the hydroxyl group can.
As the carbon chain becomes longer, the non-polar region occupies a greater proportion of the molecule.
The hydroxyl group remains unchanged.
Why does this reduce solubility?
Think about what happens when an alcohol dissolves in water.
Three things need to occur:
- Some attractions between neighbouring water molecules must be disrupted or rearranged to make room for the alcohol.
- Some attractions between alcohol molecules must be overcome as they separate.
- New attractions must form between the alcohol and water molecules.
The hydroxyl group helps with the third step because it can form hydrogen bonds with water.
However, the hydrocarbon chain contributes relatively little to favourable interactions with water.
When the chain becomes longer, a greater non-polar region must be accommodated in the aqueous solution, without gaining an additional hydroxyl group to provide stronger water interactions.
The overall balance becomes less favourable for dissolving the alcohol.
Consequently, less alcohol can dissolve in a given amount of water before the solution becomes saturated.
This is the central explanation:
\[ \boxed{ \text{Carbon chain length increases} \Rightarrow \text{Water solubility decreases} } \]
The polar hydroxyl group does not stop working. It simply becomes a smaller part of the overall molecular structure.
04How did chemists measure this change?
There is an important experimental problem here.
If you mix pentan-1-ol with water and see two layers, you know the liquids are not completely miscible. But you do not yet know how much pentan-1-ol has dissolved.
A second layer does not mean zero solubility.
To measure the actual solubility, researchers need to determine the concentration of alcohol in the water-rich phase after the mixture reaches equilibrium.
The experimental problem
Imagine placing water and pentan-1-ol into a sealed glass vessel.
After shaking, the liquids initially appear mixed. If the overall composition exceeds the solubility limit, two liquid phases eventually form.
The upper layer is alcohol-rich, while the lower layer is water-rich.
However, neither layer is pure.
The water-rich layer contains some dissolved pentan-1-ol, and the alcohol-rich layer contains some dissolved water.
The experiment must measure the composition of the water-rich layer rather than simply count the number of layers.
A historical measurement of pentan-1-ol solubility
A study from 1933, recorded in the IUPAC-NIST Solubility Data Series, used an analytical method to determine the solubility of pentan-1-ol in water.
The apparatus consisted of two connected glass vessels arranged as a U-tube, with internal stoppers that allowed liquid to pass between the vessels.
The measurement followed this general sequence:
Step 1: Mix the liquids.
Measured quantities of pentan-1-ol and water were placed in one chamber.
The apparatus was kept in a temperature-controlled environment and shaken for several hours.
This allowed the two liquids to approach equilibrium.
Step 2: Allow the phases to separate.
Once the mixture had settled, two distinct liquid layers were present.
The denser water-rich layer occupied the lower part of the vessel.
Step 3: Separate the water-rich phase.
The internal stoppers were opened so that the aqueous layer could pass into the connected chamber.
This allowed researchers to obtain a sample of the water-rich phase without simply measuring the entire two-phase mixture.
Step 4: Determine the alcohol concentration.
A weighed sample of the separated aqueous solution was diluted with a known quantity of water.
Its optical response was compared with calibration solutions using an interferometer.
The calibration allowed the researchers to determine the concentration of pentan-1-ol in the original water-rich phase.
The study reported five determinations with an average of approximately 2.208 g of pentan-1-ol per 100 g of water-rich solution at \(25^\circ\mathrm{C}\).
Why was this better than simply observing two layers?
A visual cloudiness test can indicate when a second liquid phase begins to form.
For example, a measured amount of alcohol can be added to water until the mixture becomes permanently cloudy.
This is useful for identifying a phase boundary, but it does not directly tell us the exact composition of the separated aqueous phase.
The analytical method addresses that limitation by separating the water-rich phase and measuring its composition.
Temperature control also matters. Solubility measurements must be compared at the same temperature because temperature can change the equilibrium composition.
The conclusion is that pentan-1-ol is not completely insoluble in water. It has a finite solubility, and the excess forms a separate alcohol-rich phase.
The experimental data therefore support the structural explanation: increasing the hydrocarbon chain length reduces water solubility.
For further detail, see the IUPAC-NIST Solubility Data Series: Alcohols with Water.
05Worked examples using solubility data
Now that we have the molecular explanation and experimental evidence, let’s apply the data.
Worked example: Calculate the mass of dissolved pentan-1-ol
At \(25^\circ\mathrm{C}\), a saturated water-rich solution contains 2.20 g of pentan-1-ol per 100 g of solution. Calculate the mass of pentan-1-ol in a 180 g sample of this saturated solution.
Step 1
The solution contains 2.20 g of alcohol for every 100 g of solution.
Therefore:
\[ \frac{m_{\text{alcohol}}}{m_{\text{solution}}} = \frac{2.20}{100} \]
Step 2
\[ m_{\text{alcohol}} = \frac{2.20}{100}\times180 \]
Step 3
\[ m_{\text{alcohol}}=3.96\ \mathrm{g} \]
The saturated sample contains 3.96 g of pentan-1-ol.
The remaining 176.04 g is water.
Worked example: Calculate the amount of pentan-1-ol in moles
A 250 g sample of saturated pentan-1-ol solution is prepared at \(25^\circ\mathrm{C}\).
Using a solubility of 2.20 g of pentan-1-ol per 100 g of solution, calculate the amount of pentan-1-ol present in moles.
The molar mass of pentan-1-ol, \(\ce{C5H12O}\), is \(88.15\ \mathrm{g\,mol^{-1}}\).
Step 1
\[ m=\frac{2.20}{100}\times250 \]
\[ m=5.50\ \mathrm{g} \]
Step 2
\[ n=\frac{m}{M} \]
Here:
- \(n\) is the amount of substance in moles.
- \(m\) is the mass in grams.
- \(M\) is the molar mass in grams per mole.
Step 3
\[ n=\frac{5.50}{88.15} \]
\[ n=0.0624\ \mathrm{mol} \]
The sample contains \(0.0624\) mol of pentan-1-ol.
Notice that the solubility calculation comes first. You cannot calculate the amount of alcohol in the solution until you know its mass.
06An important exception: branching changes solubility too
So far, we have compared straight-chain primary alcohols.
But what happens if two alcohols have the same molecular formula and the same number of carbon atoms, but different structures?
Consider butan-1-ol and 2-methylpropan-2-ol, commonly called tert-butanol.
Both have the molecular formula:
\[ \ce{C4H10O} \]
However, their structures are different.
Butan-1-ol:
\[ \ce{CH3CH2CH2CH2OH} \]
tert-Butanol:
\[ \ce{(CH3)3COH} \]
At \(25^\circ\mathrm{C}\), butan-1-ol has limited solubility in water, while tert-butanol is miscible with water.
Why?
The structure of tert-butanol is more compact. Its hydroxyl group is attached to a central carbon, surrounded by three methyl groups, rather than sitting at the end of a long, continuous hydrocarbon chain.
Branching and the position of the hydroxyl group change the overall shape and distribution of the non-polar region.
This makes the interaction between the whole molecule and water different.
There is an important limitation to this comparison: both branching and hydroxyl-group position have changed, so it does not isolate the effect of branching alone.
However, it demonstrates something important:
Carbon number alone does not determine water solubility. Molecular structure matters.
This is why comparisons within a homologous series must keep the molecular structure consistent.
07Solubility and boiling point are not the same property
There is another common source of confusion.
As the carbon chain of an alcohol becomes longer, its boiling point generally increases.
Yet its solubility in water decreases.
These trends might seem contradictory because both involve intermolecular forces.
The difference is what each property measures.
| Property | What is happening? | Main structural consideration |
|---|---|---|
| Boiling point | Alcohol molecules separate from one another and enter the gas phase | Increasing molecular size strengthens London dispersion forces between alcohol molecules |
| Water solubility | Alcohol molecules mix with water to form a solution | Increasing non-polar hydrocarbon surface makes the whole molecule less compatible with water |
Consider hexan-1-ol.
Its longer hydrocarbon chain gives it a larger electron cloud and stronger London dispersion attractions with neighbouring hexan-1-ol molecules.
This contributes to a higher boiling point.
However, that same longer chain increases the non-polar region that must be accommodated when hexan-1-ol mixes with water.
The single hydroxyl group remains unchanged, so water solubility decreases.
There is no contradiction. Boiling point and water solubility measure different aspects of intermolecular interactions.
Does boiling break the covalent bonds?
No.
When an alcohol boils, the molecules separate from one another, but the covalent bonds inside each molecule remain intact.
For example:
\[ \ce{C5H11OH(l) -> C5H11OH(g)} \]
Pentan-1-ol remains pentan-1-ol.
The same applies when an alcohol dissolves in water. Its covalent structure remains intact while the intermolecular attractions are rearranged.
The distinction is:
- Intramolecular bonds hold atoms together within each molecule.
- Intermolecular forces act between separate molecules.
Neither ordinary boiling nor ordinary dissolving requires the alcohol’s covalent bonds to break.
For a more detailed explanation, read Why Boiling Water Does Not Break Its Covalent Bonds.
08A reliable method for HSC explanations
When asked to explain why water solubility decreases along an alcohol homologous series, work through the following reasoning.
- Identify the functional group. Every alcohol contains one hydroxyl group, which can form hydrogen bonds with water.
- Compare the carbon chains. Each successive member gains a \(\ce{CH2}\) unit.
- Identify the growing non-polar region. The hydrocarbon chain becomes a larger proportion of the whole molecule.
- Explain the effect on intermolecular interactions. The hydroxyl group can still hydrogen-bond with water, but the increasing non-polar region cannot form comparable hydrogen-bonding interactions.
- State the resulting trend. The overall compatibility of the alcohol with water decreases, so its solubility decreases.
An exam-ready explanation would be:
As the carbon chain length of alcohols increases, the non-polar hydrocarbon region becomes larger, while the number of polar hydroxyl groups remains constant at one per molecule. Although the hydroxyl group can still form hydrogen bonds with water, the increasing non-polar region makes the whole molecule less compatible with water. Consequently, the solubility of the alcohol in water decreases as the carbon chain length increases.
Avoid these common mistakes:
| Incorrect explanation | Why it is incorrect |
|---|---|
| Longer alcohols cannot hydrogen-bond with water. | Their hydroxyl groups can still form hydrogen bonds. |
| The O-H covalent bond becomes weaker as the chain grows. | The hydroxyl group’s covalent bonding is not what causes the solubility trend. |
| Longer alcohols are less soluble because their covalent bonds are stronger. | Solubility concerns intermolecular interactions, not breaking covalent bonds. |
| All alcohols with the same number of carbon atoms have identical solubility. | Structural isomers can have different solubilities. |
| Two liquid layers mean that no alcohol has dissolved. | Both liquid phases can contain dissolved amounts of the other substance. |
09Questions and solutions
Question 1
Propan-1-ol and hexan-1-ol are both primary alcohols.
Their condensed structural formulae are:
- Propan-1-ol: \(\ce{CH3CH2CH2OH}\)
- Hexan-1-ol: \(\ce{CH3(CH2)5OH}\)
Which alcohol has the greater solubility in water at \(25^\circ\mathrm{C}\)?
Explain your answer using their molecular structures and intermolecular forces.
Solution 1
Propan-1-ol has the greater solubility in water.
Both molecules contain one hydroxyl group, which allows them to form hydrogen bonds with water.
However, hexan-1-ol has a much longer hydrocarbon chain. This increases the size of its non-polar region without adding another hydroxyl group.
The larger non-polar region makes hexan-1-ol less compatible with water because it cannot form hydrogen bonds with surrounding water molecules.
Propan-1-ol has a smaller non-polar region relative to its hydroxyl group, so its overall interactions with water are more favourable.
The important point is that both molecules can hydrogen-bond with water, but their whole molecular structures are different.
Question 2
At \(25^\circ\mathrm{C}\), a saturated water-rich solution of pentan-1-ol contains 2.20 g of pentan-1-ol per 100 g of solution.
A student shakes pentan-1-ol with water and observes two distinct liquid layers.
a. Explain why the presence of two layers does not mean pentan-1-ol is completely insoluble.
b. Calculate the mass of pentan-1-ol dissolved in a 75.0 g sample of the saturated water-rich solution.
Solution 2
The two layers demonstrate that pentan-1-ol has limited solubility, not zero solubility. The 75.0 g sample contains 1.65 g of dissolved pentan-1-ol.
Part a
When the amount of pentan-1-ol exceeds its solubility limit, the mixture separates into two liquid phases.
The lower, water-rich phase contains dissolved pentan-1-ol.
The upper, alcohol-rich phase contains dissolved water.
Therefore, the existence of two layers indicates that the liquids are partially miscible, rather than completely immiscible.
Part b
Step 1: Identify the solubility relationship.
\[ \frac{m_{\text{pentanol}}}{m_{\text{solution}}} = \frac{2.20}{100} \]
Step 2: Substitute the sample mass.
\[ m_{\text{pentanol}} = \frac{2.20}{100}\times75.0 \]
Step 3: Calculate the mass.
\[ m_{\text{pentanol}}=1.65\ \mathrm{g} \]
The sample contains 1.65 g of dissolved pentan-1-ol.
The tempting mistake is to assume that all the pentan-1-ol must remain in the separate alcohol-rich layer. In reality, some dissolves in the water-rich layer, up to the equilibrium solubility limit.
Question 3
At \(25^\circ\mathrm{C}\), the approximate solubilities of two straight-chain alcohols are:
| Alcohol | Solubility in water-rich solution |
|---|---|
| Butan-1-ol | 7.4 g per 100 g solution |
| Hexan-1-ol | 0.60 g per 100 g solution |
A student argues:
Hexan-1-ol should be more soluble because its longer carbon chain gives it stronger London dispersion forces.
a. Calculate how many times more soluble butan-1-ol is than hexan-1-ol.
b. Explain why the student’s reasoning is incorrect.
Solution 3
Butan-1-ol is approximately 12.3 times more soluble in water than hexan-1-ol. The student has confused stronger attractions between alcohol molecules with more favourable interactions between alcohol and water molecules.
Part a
Step 1: Divide the solubility of butan-1-ol by the solubility of hexan-1-ol.
\[ \text{Solubility ratio} = \frac{7.4}{0.60} \]
Step 2: Calculate.
\[ \text{Solubility ratio}=12.3 \]
Therefore, butan-1-ol is approximately 12.3 times more soluble than hexan-1-ol.
Part b
The student’s argument correctly identifies that hexan-1-ol has stronger London dispersion forces due to its larger electron cloud.
However, this does not mean it will be more soluble in water.
London dispersion forces contribute to attractions between alcohol molecules, but water solubility depends on the overall balance of interactions between the alcohol and water.
Both alcohols have one hydroxyl group capable of hydrogen bonding with water.
Hexan-1-ol has a much larger non-polar hydrocarbon region, which cannot form comparable hydrogen bonds with water.
The longer chain therefore makes the whole molecule less compatible with water, despite its stronger dispersion forces.
The key distinction is that stronger intermolecular attractions within a pure alcohol do not automatically produce greater solubility in a polar solvent.
Question 4
A group of students wants to compare the water solubilities of propan-1-ol, butan-1-ol and pentan-1-ol.
Their experimental method is:
- Add 1.0 mL of each alcohol to a separate test tube containing 10.0 mL of water.
- Shake each tube for 10 seconds.
- Record whether one or two layers appear.
- Compare the results.
However, the students perform the experiments at different temperatures, ranging from \(18^\circ\mathrm{C}\) to \(25^\circ\mathrm{C}\), and inspect the tubes immediately after shaking.
Evaluate the reliability of this method.
Suggest an improved experimental procedure that would allow the students to compare the actual solubilities of the three alcohols.
Solution 4
The proposed method is not sufficiently reliable for a quantitative comparison of solubilities. It only provides a basic qualitative indication of miscibility and does not measure the concentration of alcohol dissolved in the water-rich phase.
There are several problems.
Problem 1: Temperature is not controlled.
The experiments are performed between \(18^\circ\mathrm{C}\) and \(25^\circ\mathrm{C}\).
Temperature can affect solubility, so the results cannot be attributed solely to differences in molecular structure.
All samples should be tested at the same temperature.
Problem 2: The mixing and equilibration times are inadequate.
Shaking for 10 seconds and immediately observing the mixture does not guarantee that equilibrium has been reached.
The mixture needs sufficient time to equilibrate and allow any separate phases to settle.
Problem 3: Counting layers does not measure solubility.
Two layers only indicate that the overall mixture has separated into two phases.
They do not reveal how much alcohol has dissolved in the water-rich phase.
For example, butan-1-ol and pentan-1-ol can both form two layers, even though their water solubilities are substantially different.
An improved method
A more reliable investigation would use the following procedure:
- Prepare separate samples containing the same known mass of water.
- Maintain every sample at a constant temperature, such as \(25^\circ\mathrm{C}\), using a thermostatically controlled water bath.
- Add excess of the relevant alcohol to each water sample.
- Seal and mix each sample sufficiently to establish equilibrium.
- Allow the samples to settle until the two phases are clearly separated, where applicable.
- Carefully collect a sample of the water-rich phase.
- Determine the concentration of dissolved alcohol using a calibrated analytical method.
- Repeat each measurement to improve reliability.
The independent variable is the identity of the alcohol.
The dependent variable is the concentration of alcohol in the saturated water-rich phase.
Controlled variables include temperature, water mass, pressure, purity of the alcohol samples and equilibration conditions.
This procedure measures the actual solubility rather than relying on the appearance of the mixture.
Question 5
At \(25^\circ\mathrm{C}\), a sealed vessel contains a total of 60.0 g of a binary mixture consisting of:
- 10.0 g of pentan-1-ol.
- 50.0 g of water.
After reaching equilibrium, the mixture separates into two liquid phases.
For this question, use the following rounded equilibrium compositions:
| Phase | Composition by mass |
|---|---|
| Water-rich phase | 2.20% pentan-1-ol and 97.80% water |
| Alcohol-rich phase | 91.0% pentan-1-ol and 9.0% water |
Assume that:
- Only water and pentan-1-ol are present.
- The temperature remains constant at \(25^\circ\mathrm{C}\).
- Both phases remain present.
- The stated phase compositions remain constant as the total mixture composition changes.
a. Calculate the mass of each liquid phase.
b. Determine the mass of pentan-1-ol and water in each phase.
c. A further 5.0 g of pentan-1-ol is added to the vessel. Calculate the new mass of each phase.
d. Does the concentration of pentan-1-ol in the water-rich phase increase after the additional alcohol is added? Explain why.
Solution 5
The original mixture separates into approximately 50.2 g of water-rich solution and 9.77 g of alcohol-rich solution.
After another 5.0 g of pentan-1-ol is added, the water-rich phase decreases to approximately 49.7 g, while the alcohol-rich phase increases to approximately 15.3 g.
Most importantly, the pentan-1-ol concentration in the water-rich phase remains at 2.20% by mass, provided both phases remain present.
This question requires two linked ideas: conservation of mass and equilibrium solubility.
Part a: Calculate the mass of each phase
Step 1: Define the unknown masses.
Let:
- \(m_w\) = mass of the water-rich phase, in grams.
- \(m_a\) = mass of the alcohol-rich phase, in grams.
The total mass is 60.0 g, so:
\[ m_w+m_a=60.0 \]
Step 2: Write the pentan-1-ol mass balance.
The water-rich phase contains 2.20% pentan-1-ol.
The alcohol-rich phase contains 91.0% pentan-1-ol.
Therefore:
\[ 0.022m_w+0.91m_a=10.0 \]
Step 3: Rearrange the total mass equation.
\[ m_a=60.0-m_w \]
Substitute this into the pentan-1-ol equation:
\[ 0.022m_w+0.91(60.0-m_w)=10.0 \]
Expand:
\[ 0.022m_w+54.6-0.91m_w=10.0 \]
Collect like terms:
\[ 0.888m_w=44.6 \]
\[ m_w=\frac{44.6}{0.888} \]
\[ m_w=50.225\ \mathrm{g} \]
Step 4: Calculate the alcohol-rich phase mass.
\[ m_a=60.0-50.225 \]
\[ m_a=9.775\ \mathrm{g} \]
To three significant figures:
- Water-rich phase = 50.2 g.
- Alcohol-rich phase = 9.77 g.
Part b: Calculate the mass of each component in each phase
Step 1: Calculate the pentan-1-ol in the water-rich phase.
\[ m_{\text{pentanol}} = 0.0220\times50.225 \]
\[ m_{\text{pentanol}}=1.10\ \mathrm{g} \]
The remaining mass is water:
\[ m_{\text{water}} = 0.978\times50.225 \]
\[ m_{\text{water}}=49.1\ \mathrm{g} \]
Step 2: Calculate the pentan-1-ol in the alcohol-rich phase.
\[ m_{\text{pentanol}} = 0.910\times9.775 \]
\[ m_{\text{pentanol}}=8.90\ \mathrm{g} \]
The remaining mass is water:
\[ m_{\text{water}} = 0.0900\times9.775 \]
\[ m_{\text{water}}=0.880\ \mathrm{g} \]
Step 3: Check conservation of mass.
Total pentan-1-ol:
\[ 1.10+8.90=10.0\ \mathrm{g} \]
Total water:
\[ 49.1+0.880\approx50.0\ \mathrm{g} \]
Both components satisfy the original mass balance.
This confirms that neither phase is pure.
Part c: Add another 5.0 g of pentan-1-ol
Step 1: Calculate the new total mass and pentan-1-ol mass.
\[ m_{\text{total}}=60.0+5.0 \]
\[ m_{\text{total}}=65.0\ \mathrm{g} \]
The total pentan-1-ol mass is now:
\[ m_{\text{pentanol}}=10.0+5.0 \]
\[ m_{\text{pentanol}}=15.0\ \mathrm{g} \]
Step 2: Write the new mass balance equations.
The total phase masses must satisfy:
\[ m_w+m_a=65.0 \]
The pentan-1-ol balance becomes:
\[ 0.022m_w+0.91m_a=15.0 \]
Step 3: Substitute the total mass equation.
\[ m_a=65.0-m_w \]
Therefore:
\[ 0.022m_w+0.91(65.0-m_w)=15.0 \]
Expand:
\[ 0.022m_w+59.15-0.91m_w=15.0 \]
\[ 0.888m_w=44.15 \]
\[ m_w=\frac{44.15}{0.888} \]
\[ m_w=49.718\ \mathrm{g} \]
Step 4: Calculate the new alcohol-rich phase mass.
\[ m_a=65.0-49.718 \]
\[ m_a=15.282\ \mathrm{g} \]
To three significant figures:
- Water-rich phase = 49.7 g.
- Alcohol-rich phase = 15.3 g.
Part d: Does the aqueous concentration increase?
No. The concentration of pentan-1-ol in the water-rich phase remains 2.20% by mass.
This is the important equilibrium constraint.
As long as both phases remain present at the same temperature, their equilibrium compositions remain fixed.
Adding more pentan-1-ol therefore increases the amount of the alcohol-rich phase rather than increasing the concentration of pentan-1-ol in the saturated water-rich phase.
Some water also transfers into the growing alcohol-rich phase, which is why the mass of the water-rich phase decreases slightly.
The tempting approach is to assume that the extra pentan-1-ol simply increases the concentration in the water layer. That would be true only if the mixture remained a single phase and had not reached its solubility limit.
Once two phases coexist at equilibrium, the additional alcohol changes the relative amounts of the phases, not their equilibrium compositions.
This is a useful extension of the usual HSC solubility explanation: solubility describes an equilibrium composition, not simply the total amount of substance present in a container.
The key idea to carry into other organic chemistry questions is that physical properties depend on the entire molecular structure. The same increase in carbon chain length can raise boiling point while lowering water solubility, because these properties depend on different balances of intermolecular interactions.
For the broader relationship between chain length, boiling point, volatility, viscosity and solubility, continue with Properties Across a Homologous Series: HSC Chemistry Guide.
Syllabus context: This explanation focuses on the alcohol-property and bonding concepts in the Chemistry Stage 6 (2017) syllabus, which remains in use through 2027. The Chemistry 11-12 Syllabus (2025) begins implementation in 2028. See the NSW syllabus implementation information.