Concentration and Solution Calculations

5. Applications of Solution Chemistry

Learning outcomes
  • I can identify real-world uses of solution chemistry.
  • I can explain the importance of concentration in medicine and industry.
  • I can analyze examples involving water treatment and chemical manufacturing.
  • I can interpret concentration data in practical situations.
  • I can apply solution concepts to everyday examples.

Why Is Solution Chemistry Important?

Many chemical substances are used as solutions rather than as pure substances.

Solutions are found throughout everyday life:

  • Medicines.
  • Drinks.
  • Cleaning products.
  • Fertilizers.
  • Swimming pools.
  • Batteries.
  • Cosmetics.
  • Laboratory chemicals.
  • Industrial processes.
  • Water-treatment systems.

In each case, the concentration of the solution can be extremely important.

Too little of a substance may make a product ineffective. Too much may make it wasteful, damaging, or dangerous.

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Concentration in Everyday Life

Concentration tells us how much solute is present in a particular volume of solution.

Common concentration units include:

  • g/dm³
  • mg/dm³
  • mol/dm³
  • Percentage concentration
  • Parts per million (ppm)

Different units are useful in different situations.

For example, very small concentrations of pollutants in water may be reported in mg/L or ppm, while laboratory solutions are often described using mol/dm³.


Why Concentration Matters

Imagine two bottles containing the same medicine.

One contains:

5 mg of active ingredient per mL

The other contains:

20 mg per mL

The liquids may look almost identical, but their concentrations are very different.

A person receiving 10 mL would receive:

From the first solution:

5 × 10 = 50 mg

From the second:

20 × 10 = 200 mg

The second dose contains four times as much active ingredient.

This demonstrates why concentration measurements must be accurate.


Solutions in Medicine

Many medicines are prepared as solutions.

Examples include:

  • Liquid medicines.
  • Eye drops.
  • Saline solutions.
  • Intravenous fluids.
  • Antiseptic solutions.
  • Some injectable medicines.
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Knowing the concentration allows healthcare professionals to determine how much active substance is present in a particular volume.


Worked Example: Liquid Medicine

A liquid medicine contains:

25 mg/mL

of an active ingredient.

How much active ingredient is present in 8 mL?

Use:

amount = concentration × volume

amount = 25 × 8

amount = 200 mg

Therefore:

8 mL contains 200 mg of active ingredient.

This is an example of interpreting concentration information in a practical situation.


Saline Solutions

Saline is a solution of sodium chloride in water.

Saline solutions have many medical and laboratory uses.

Their concentration matters because cells are sensitive to differences in the concentrations of dissolved substances around them.

A solution with an inappropriate concentration can cause water to move into or out of cells by osmosis.

This illustrates an important connection between:

solution chemistry + biology


Concentration and Dosage

Suppose a medicine contains:

40 mg/mL

and a particular use requires:

200 mg

The required volume is:

volume = amount ÷ concentration

volume = 200 ÷ 40

volume = 5 mL

Concentration information therefore allows the required volume to be calculated.

In real medical practice, medication dosing should follow qualified professional guidance rather than classroom calculations alone.


Dilution in Medicine

Sometimes a concentrated solution must be diluted before use.

Suppose:

10 mL of a 2.0 mol/dm³ solution

is diluted to:

100 mL

Use:

c₁V₁ = c₂V₂

2.0 × 10 = c₂ × 100

c₂ = 0.20 mol/dm³

The amount of solute remains the same, but it is distributed through a larger volume.


Solutions in the Pharmaceutical Industry

Pharmaceutical manufacturing requires careful control of:

  • Concentration.
  • Purity.
  • pH.
  • Temperature.
  • Volume.
  • Contamination.

Small errors can affect the properties of the final product.

Manufacturers therefore use analytical measurements and quality-control procedures to verify that solutions meet required specifications.

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Solutions in Chemical Manufacturing

Many industrial chemical processes occur in solution.

Solutions allow chemicals to:

  • Mix evenly.
  • Be pumped through pipes.
  • Be measured accurately.
  • React with other substances.
  • Have their concentration adjusted.
  • Be separated or purified later.

Industrial chemists therefore need to monitor concentration carefully.


Why Industries Use Concentrated Solutions

Transporting large amounts of solvent can be expensive.

Some chemicals are therefore manufactured or transported as concentrated solutions and diluted when needed.

For example, imagine transporting:

1000 L of a dilute solution

when the same amount of solute could be transported in:

100 L of a solution ten times as concentrated.

The concentrated product may reduce:

  • Transport volume.
  • Storage requirements.
  • Packaging.

However, concentrated chemicals may require additional safety precautions.


Stock Solutions

A stock solution is a relatively concentrated solution that can be diluted to produce solutions of lower concentration.

Stock solutions are commonly used in:

  • Laboratories.
  • Manufacturing.
  • Agriculture.
  • Water treatment.
  • Pharmaceutical production.

The required concentration can be prepared using:

c₁V₁ = c₂V₂


Worked Example: Industrial Dilution

A factory needs:

500 dm³ of a 0.40 mol/dm³ solution

The stock solution has a concentration of:

2.0 mol/dm³

Use:

c₁V₁ = c₂V₂

2.0 × V₁ = 0.40 × 500

2.0V₁ = 200

V₁ = 100 dm³

Therefore, the factory needs:

100 dm³ of stock solution

which is then diluted to a final volume of:

500 dm³


Solution Chemistry in Water Treatment

Natural water can contain:

  • Suspended particles.
  • Dissolved minerals.
  • Microorganisms.
  • Organic matter.
  • Pollutants.
  • Dissolved ions.

Water treatment uses physical, chemical, and biological processes to make water suitable for its intended use.

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Solution chemistry is essential because many substances in water are dissolved and cannot simply be removed using an ordinary filter.


Measuring Substances in Water

Scientists may measure the concentrations of substances such as:

  • Nitrate ions.
  • Phosphate ions.
  • Chloride ions.
  • Metal ions.
  • Dissolved oxygen.
  • Treatment chemicals.
  • Pollutants.

Because some substances occur at very low concentrations, units such as:

mg/L

are often useful.


Understanding mg/L

Suppose water contains:

5 mg/L nitrate

This means that approximately:

5 mg of nitrate is present in each litre of the water sample.

If another sample contains:

20 mg/L

then the second sample contains four times the nitrate concentration of the first.

Concentration data therefore allow water samples to be compared.


Worked Example: Interpreting Water Data

Three water samples contain the following concentration of a dissolved substance:

Sample Concentration
A 2 mg/L
B 15 mg/L
C 7 mg/L

Sample B has the highest concentration.

Sample A has the lowest.

The concentration in Sample B compared with Sample A is:

15 ÷ 2 = 7.5

Therefore:

Sample B contains 7.5 times the concentration found in Sample A.


Water Treatment Chemicals

Depending on the treatment process, chemicals may be used to:

  • Help suspended particles clump together.
  • Adjust pH.
  • Control microorganisms.
  • Remove or transform unwanted substances.
  • Protect water-distribution systems.

The concentration of these chemicals must be controlled carefully.

Too little may make a treatment ineffective.

Too much may create unnecessary cost or undesirable effects.


Coagulation and Flocculation

Very small suspended particles may be difficult to remove because they remain dispersed in water.

In coagulation, treatment chemicals help destabilize these particles.

During flocculation, the particles combine into larger clusters called flocs.

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The larger particles can then be removed more easily through settling and filtration.

Chemical concentration is important because the amount of treatment chemical must be appropriate for the water being treated.


pH Control

Solution chemistry is also important in controlling pH.

pH indicates how acidic or alkaline a solution is.

Water-treatment facilities may need to adjust pH to:

  • Improve treatment processes.
  • Reduce corrosion.
  • Protect equipment.
  • Maintain suitable water chemistry.

Industrial processes also frequently require solutions within particular pH ranges.


Solutions in Agriculture

Farmers and agricultural industries use solutions for:

  • Fertilizers.
  • Nutrient solutions.
  • Some crop treatments.
  • Hydroponics.
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In hydroponic systems, plants obtain mineral ions from nutrient solutions rather than soil.

The concentration of dissolved nutrients must therefore be controlled.


Worked Example: Fertilizer Solution

A fertilizer solution contains:

12 g of fertilizer per dm³

How much fertilizer is present in 25 dm³?

Use:

mass = concentration × volume

mass = 12 × 25

mass = 300 g

Therefore:

300 g of fertilizer is present.


Concentration in Food and Drink

Solution chemistry is important in food production.

Examples include:

  • Sugar solutions.
  • Salt solutions.
  • Vinegar.
  • Soft drinks.
  • Sports drinks.
  • Syrups.
  • Flavorings.

Manufacturers need consistent concentrations so products have predictable:

  • Taste.
  • Texture.
  • Acidity.
  • Quality.
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Worked Example: Sugar Concentration

A drink contains:

80 g of sugar per dm³

A bottle contains:

500 cm³

Convert:

500 cm³ = 0.500 dm³

Calculate:

mass = concentration × volume

mass = 80 × 0.500

mass = 40 g

Therefore, the bottle contains:

40 g of sugar.


Household Cleaning Solutions

Many household products are solutions.

Examples include:

  • Detergents.
  • Window cleaners.
  • Disinfectants.
  • Descaling solutions.
  • Bleaching products.

Some products are sold as concentrates and are intended to be diluted according to their labels.

A concentrated product contains more active substance per unit volume than a diluted product.

For safety, household chemicals should be used according to their product instructions rather than mixed experimentally.


Solutions in Batteries

Some batteries contain an electrolyte, which contains mobile ions.

These ions allow electric charge to move through the electrolyte.

The properties of the electrolyte depend partly on:

  • The substances present.
  • Their concentration.
  • Temperature.

This is another example of solution chemistry connecting with another area of science—in this case, electricity and electrochemistry.


Solutions and Environmental Monitoring

Environmental scientists analyze solutions when investigating:

  • Rivers.
  • Lakes.
  • Groundwater.
  • Seawater.
  • Wastewater.

They may measure the concentrations of substances associated with:

  • Agricultural runoff.
  • Industrial discharge.
  • Sewage.
  • Natural mineral deposits.
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Repeated measurements can reveal how concentrations vary between locations or change over time.


Parts Per Million

Very dilute solutions are sometimes described using parts per million, abbreviated:

ppm

For dilute aqueous solutions, ppm is often numerically comparable to mg/L under common conditions.

For example, approximately:

1 ppm ≈ 1 mg/L

for many very dilute water solutions.

However, the exact interpretation depends on how the concentration is defined and the density of the solution.


Worked Example: Pollution Data

A scientist measures a pollutant in river water.

Upstream:

2 mg/L

Near a discharge point:

18 mg/L

Farther downstream:

6 mg/L

The data show that the concentration:

  • Is initially low.
  • Rises substantially near the discharge point.
  • Falls farther downstream.

The measurements alone show the concentration pattern. Additional evidence would be needed to establish the precise source and explain why the concentration changes.


Interpreting Practical Concentration Data

Suppose a factory records the following concentration of a substance in wastewater:

Time Concentration
08:00 4 mg/L
10:00 5 mg/L
12:00 13 mg/L
14:00 8 mg/L
16:00 4 mg/L

The highest recorded concentration occurs at:

12:00

The increase from 10:00 to 12:00 is:

13 - 5 = 8 mg/L

Scientists could investigate what happened during this period.

This demonstrates why concentration monitoring can help identify changes in industrial processes.


Concentration and Graphs

Concentration data are often plotted against:

  • Time.
  • Distance.
  • Temperature.
  • Volume.
  • Position within a treatment system.

A graph can reveal:

  • Trends.
  • Peaks.
  • Sudden changes.
  • Differences between samples.
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For example, a sudden increase in concentration might indicate a change that requires investigation.


Quality Control

Quality control involves checking whether a product meets required specifications.

For a solution, scientists may measure:

  • Concentration.
  • pH.
  • Purity.
  • Density.
  • Conductivity.

Suppose a product should contain:

50 ± 2 g/dm³

This means acceptable concentrations range from:

48 g/dm³ to 52 g/dm³

A batch measuring:

51 g/dm³

is within that specified range.

A batch measuring:

55 g/dm³

is outside it.


Worked Example: Quality Control

A manufacturer requires a solution concentration between:

0.95 mol/dm³ and 1.05 mol/dm³

Four batches are tested:

Batch Concentration
A 0.98 mol/dm³
B 1.03 mol/dm³
C 1.08 mol/dm³
D 1.00 mol/dm³

Batches A, B, and D fall within the specified range.

Batch C does not.

This is an example of using concentration data to make a practical decision.


Solution Chemistry in Chemical Reactions

Concentration can affect how much reactant is available in a given volume.

Consider:

HCl + NaOH → NaCl + H₂O

Suppose we have:

100 cm³ of 0.50 mol/dm³ HCl

Convert:

100 cm³ = 0.100 dm³

Calculate moles:

n = cV

n = 0.50 × 0.100

n = 0.050 mol

The balanced equation shows a:

1 : 1

ratio between HCl and NaOH.

Therefore, 0.050 mol HCl requires:

0.050 mol NaOH

Solution concentration can therefore be used directly in stoichiometric calculations.


Concentration and Reaction Rate

Increasing concentration generally places more reactant particles into a given volume.

This can increase the frequency of successful collisions between reactant particles.

As a result, increasing concentration can increase the rate of many reactions.

Diluting a reactant may therefore slow a reaction.

This principle is important when designing industrial chemical processes.


Solutions in Manufacturing

Chemical manufacturing often involves a sequence such as:

Raw materials

↓

Solutions prepared

↓

Concentrations adjusted

↓

Chemical reaction

↓

Product separated

↓

Purification

↓

Quality testing

Concentration measurements may be required at several stages.


Why Accurate Measurement Matters

An incorrect concentration can affect:

  • Product quality.
  • Reaction rate.
  • Product yield.
  • Cost.
  • Waste production.
  • Equipment performance.
  • Safety.

For this reason, industrial chemistry relies heavily on accurate measurements and automated monitoring systems.


Applying Solution Chemistry to Everyday Problems

Suppose a concentrated product instructs the user to prepare:

1 part concentrate + 4 parts water

This produces:

5 total parts

If 100 mL of concentrate is used:

Water required:

4 × 100 = 400 mL

Approximate final mixture:

100 + 400 = 500 mL

The original concentrate has therefore been diluted substantially.


Worked Example: Scaling a Mixture

A cleaning solution requires:

1 part concentrate : 9 parts water

A total of 2.0 L is required.

There are:

10 total parts

Each part therefore represents:

2.0 ÷ 10 = 0.20 L

Concentrate:

0.20 L

Water:

9 × 0.20 = 1.80 L

Therefore, the mixture requires:

0.20 L concentrate + 1.80 L water


Connecting Solution Concepts

Many practical solution problems combine several ideas.

Concentration

How much solute is present per unit volume?

Moles

How much chemical substance is present?

Dilution

How can concentration be reduced?

Stoichiometry

How much of another substance will react?

Measurement

How accurately can mass and volume be determined?

Understanding these connections allows solution chemistry to be applied to real situations.


Practical Scenario

A laboratory has a:

2.0 mol/dm³ stock solution

A technician needs:

250 cm³ of 0.40 mol/dm³ solution

Use:

c₁V₁ = c₂V₂

2.0 × V₁ = 0.40 × 250

V₁ = 50 cm³

The technician therefore measures:

50 cm³ of stock solution

and dilutes it to:

250 cm³

This same principle can be scaled from laboratory volumes to much larger industrial systems.


Common Mistakes

Thinking Concentration Means Total Amount

A large container can contain more total solute while still having a lower concentration.

Ignoring Units

Always check whether concentration is expressed in:

  • g/dm³
  • mol/dm³
  • mg/L
  • ppm
  • percentage

Confusing Volume Added With Final Volume

If a solution is diluted to 500 cm³, 500 cm³ is the final volume, not necessarily the volume of water added.

Assuming More Concentrated Is Always Better

The correct concentration depends on the purpose of the solution.

Assuming All Concentration Units Are Interchangeable

A value in g/dm³ cannot automatically be treated as mol/dm³.

Molar mass may be required for conversion.

Ignoring the Context of Data

A concentration measurement tells us how much substance is present. It does not necessarily tell us why it is present or where it came from.

Forgetting Scale

A concentration may appear small, but when multiplied across a very large volume, the total amount of substance may be substantial.


Check Your Understanding

1. Give four examples of situations where solution chemistry is used.

2. Explain why concentration is important in medicine.

3. A liquid contains 15 mg/mL of a substance. How much is present in 20 mL?

4. A medicine contains 25 mg/mL. What volume contains 100 mg?

5. Explain why water-treatment facilities monitor concentrations of dissolved substances.

6. What does a concentration of 8 mg/L mean?

7. Explain why very small pollutant concentrations may be expressed in ppm.

8. A drink contains 60 g/dm³ sugar. Calculate the mass of sugar in 250 cm³.

9. Explain why industries may transport concentrated solutions and dilute them later.

10. What is a stock solution?

11. A factory needs 1000 dm³ of 0.50 mol/dm³ solution from a 2.0 mol/dm³ stock solution. Calculate the volume of stock required.

12. Explain how solution chemistry is used in water treatment.

13. Describe how concentration is important in hydroponic agriculture.

14. Explain how concentration data can be used in industrial quality control.

15. A product should contain between 20 and 24 g/dm³. A sample contains 25.5 g/dm³. Interpret this result.

16. Explain how increasing concentration can affect reaction rate.

17. Why might a scientist measure pollutant concentration at several locations along a river?

18. Explain the difference between concentration and the total amount of solute.

19. Give an example of how dilution is used outside a school laboratory.

20. Explain why solution chemistry is important in both everyday life and large-scale industry.


Key Terms

  • Solution chemistry – study and application of substances dissolved in solvents.
  • Concentration – amount of solute present per unit volume of solution.
  • Stock solution – concentrated solution used to prepare more dilute solutions.
  • Dilution – decreasing concentration by adding solvent.
  • Molar concentration – number of moles of solute per unit volume.
  • mg/L – milligrams of substance per litre of solution.
  • ppm – parts per million, commonly used for very low concentrations.
  • Quality control – testing used to determine whether a product meets required specifications.
  • Water treatment – processes used to improve water quality for a particular purpose.
  • Coagulation – treatment process that destabilizes small suspended particles.
  • Flocculation – process in which particles combine into larger clusters.
  • Electrolyte – substance containing mobile ions that can conduct electricity when molten or dissolved.
  • Hydroponics – growing plants using nutrient solutions rather than soil.
  • Dosage – amount of a substance administered or used.
  • Specification – defined requirement that a product or process should meet.

Key Takeaways

  • Solution chemistry has applications throughout medicine, industry, agriculture, environmental science, food production, and everyday life.
  • Concentration describes how much solute is present per unit volume.
  • Different situations use different concentration units.
  • Accurate concentrations are particularly important when solutions are used for controlled scientific, medical, or industrial purposes.
  • Medicines often contain active ingredients at specified concentrations.
  • Concentration measurements allow an amount of substance to be calculated from a measured volume.
  • Water-treatment systems depend heavily on solution chemistry.
  • Scientists monitor dissolved substances and treatment chemicals in water.
  • Very low environmental concentrations are often reported using mg/L or ppm.
  • Industries frequently use concentrated stock solutions and prepare lower concentrations by dilution.
  • Concentration can influence reaction rates and chemical processes.
  • Agricultural nutrient solutions must contain appropriate concentrations of dissolved substances.
  • Food and beverage manufacturers use concentration measurements to maintain consistent products.
  • Environmental scientists use concentration data to monitor changes in water quality.
  • Quality-control measurements determine whether products meet specified concentration ranges.
  • Concentration and total amount are different concepts.
  • Practical solution problems often combine concentration, dilution, moles, measurement, and stoichiometry.
  • Solution chemistry allows chemists to control how much substance is present, predict how solutions will behave, and apply chemical principles to practical problems.