Year 11 Chemistry Module 2 ⏱ ~35 min Lesson 9 of 20

Gravimetric Analysis

A gold mining company needs to know how much gold is in a tonne of ore — not approximately, exactly. A water treatment plant needs to measure sulfate contamination down to 0.1 mg. Both use gravimetric analysis: the oldest quantitative technique in chemistry, and still one of the most accurate. The principle is beautifully simple — cause precipitation, filter, dry, weigh.

⚖️
📐

Gravimetric Calculation Pathway

mass of precipitate → n(precipitate) → n(analyte) → mass or concentration of analyte
n = m ÷ MM  |  c = n ÷ V  |  Use mole ratio from equation to link precipitate to analyte
⚠️ The mole ratio step is where most marks are lost. Always write the balanced equation and read the ratio explicitly.
📖 Know

Key Facts

  • Definition of gravimetric analysis
  • What a precipitate is and why it forms
  • The 5-step experimental procedure
  • Examples: BaSO₄, AgCl, CaCO₃
💡 Understand

Concepts

  • Why the precipitate must be insoluble
  • Why excess reagent is added deliberately
  • How mole ratio links precipitate to analyte
✅ Can Do

Skills

  • Describe the gravimetric procedure with justifications
  • Use precipitate mass to find analyte amount or concentration
  • Apply mole ratios from balanced equations correctly

📚 Core Content

⚗️

What Is Gravimetric Analysis?

Gravimetric analysis is a quantitative technique that determines the amount of an analyte (the substance being measured) by converting it into a pure, insoluble precipitate, then measuring the mass of that precipitate.

The key insight: if you know the mass of precipitate and the chemical formula of the precipitate, you can calculate exactly how many moles were formed — and from the balanced equation, work out how many moles of the original analyte were present.

Common precipitates in HSC gravimetric analysis:
BaSO₄ (barium sulfate) — used to measure sulfate (SO₄²⁻) concentration
AgCl (silver chloride) — used to measure chloride (Cl⁻) concentration
CaCO₃ (calcium carbonate) — used in some carbonate determinations
All are white, extremely insoluble solids — ideal for filtering and weighing.

Why Must the Precipitate Be Insoluble?

If the precipitate dissolves even slightly, some of the analyte stays in solution and is never collected on the filter. This means the mass you weigh underestimates the true amount — your result will be too low. The more insoluble the precipitate, the more complete the reaction and the more accurate the result.

Why Add Excess Precipitating Reagent?

Adding a slight excess of the precipitating reagent (e.g. excess BaCl₂ when precipitating SO₄²⁻) drives the reaction to completion — ensuring all of the analyte has been converted to precipitate. The excess reagent remains dissolved in solution and is washed away during filtration.

Important: Adding too much excess can backfire. In some cases, very high concentrations of the precipitating ion can increase the solubility of the precipitate through a process called the complex ion effect. For HSC, you only need to know: add a moderate excess, not a massive excess.

The Gravimetric Procedure — Step by Step

1. Dissolve the sample
Dissolve the sample in an appropriate solvent (usually distilled water or dilute acid) to bring the analyte into solution.
Why: The analyte must be in aqueous form so the precipitating reagent can react with it evenly.
2. Add excess precipitating reagent
Add a slight excess of the reagent that forms an insoluble precipitate with the analyte. Stir to ensure complete mixing.
Why: Drives the precipitation reaction to completion — all analyte is converted to precipitate.
Example: add BaCl₂(aq) to precipitate SO₄²⁻ as BaSO₄(s)
3. Filter the precipitate
Filter the mixture through pre-weighed filter paper or a sintered glass crucible. Wash the precipitate with a small volume of distilled water to remove any dissolved impurities.
Why: Separates the precipitate from the solution. Washing removes soluble impurities without dissolving the precipitate.
Equipment: filter paper, funnel, conical flask OR sintered glass crucible
4. Dry the precipitate
Place the filter paper and precipitate in an oven at ~100–120°C to evaporate all water. Allow to cool in a desiccator before weighing.
Why: Any remaining water adds mass — you would overestimate the precipitate mass and therefore the analyte. Cooling in a desiccator prevents reabsorption of atmospheric moisture.
Equipment: oven, desiccator
5. Weigh and calculate
Weigh the cooled precipitate precisely. Subtract the mass of the filter paper/crucible to get the net precipitate mass. Use the mole ratio to calculate the analyte amount.
Why: The entire analysis rests on this measurement — precision here determines the accuracy of the final result.
Equipment: analytical balance (4 decimal places)

The Calculation Pathway

Once you have the mass of precipitate, the calculation follows a chain of three conversions:

Measured
mass of
precipitate
÷ MM(ppt)
Step 1
n(precipitate)
× mole ratio
Step 2
n(analyte)
× MM or ÷ V
Answer
mass or
concentration

Gravimetric vs Volumetric Analysis

FeatureGravimetricVolumetric (Titration)
What is measuredMass of precipitateVolume of solution
Key equipmentAnalytical balance, oven, filterBurette, pipette, conical flask
Typical precisionVery high (±0.0001 g balance)High (±0.05 mL burette)
SpeedSlow (hours — drying time)Fast (minutes per titration)
Best forInsoluble or sparingly soluble analytesAcid-base, redox reactions

🧮 Worked Examples

Worked Example 1 — Sulfate determination

Classic Gravimetric
A 250 mL water sample is treated with excess BaCl₂ solution to precipitate all sulfate as BaSO₄. The dried precipitate has a mass of 0.4660 g. Calculate the concentration of SO₄²⁻ in the water sample in mol L⁻¹. (Ba = 137.33, S = 32.06, O = 15.999)
  1. 1
    Write the equation and identify mole ratio
    Ba²⁺(aq) + SO₄²⁻(aq) → BaSO₄(s)
    Mole ratio: 1 mol BaSO₄ : 1 mol SO₄²⁻
  2. 2
    Calculate MM of BaSO₄ and find moles of precipitate
    MM(BaSO₄) = 137.33 + 32.06 + 4(15.999) = 233.39 g mol⁻¹
    n(BaSO₄) = 0.4660 ÷ 233.39 = 1.997 × 10⁻³ mol
  3. 3
    Apply mole ratio to find n(SO₄²⁻)
    n(SO₄²⁻) = n(BaSO₄) × (1/1) = 1.997 × 10⁻³ mol
  4. 4
    Calculate concentration
    V = 250 mL = 0.250 L
    c(SO₄²⁻) = 1.997 × 10⁻³ ÷ 0.250 = 7.99 × 10⁻³ mol L⁻¹
✓ Answerc(SO₄²⁻) = 7.99 × 10⁻³ mol L⁻¹

Worked Example 2 — Chloride determination with non-1:1 ratio awareness

Stepwise
A 500 mL sample of bore water is treated with excess AgNO₃ solution. The dried AgCl precipitate has a mass of 1.435 g. Calculate (a) the mass of Cl⁻ in the sample and (b) the concentration of Cl⁻ in mg L⁻¹. (Ag = 107.87, Cl = 35.453)
  1. 1
    Equation and mole ratio
    Ag⁺(aq) + Cl⁻(aq) → AgCl(s)
    1 : 1 ratio — 1 mol AgCl produced per 1 mol Cl⁻
  2. 2
    Moles of AgCl
    MM(AgCl) = 107.87 + 35.453 = 143.32 g mol⁻¹
    n(AgCl) = 1.435 ÷ 143.32 = 1.001 × 10⁻² mol
  3. 3
    (a) Mass of Cl⁻
    n(Cl⁻) = 1.001 × 10⁻² mol
    m(Cl⁻) = n × MM = 1.001 × 10⁻² × 35.453 = 0.3549 g = 354.9 mg
  4. 4
    (b) Concentration in mg L⁻¹
    c = 354.9 mg ÷ 0.500 L = 709.8 mg L⁻¹ ≈ 710 mg L⁻¹
✓ Answer(a) 0.355 g  |  (b) 710 mg L⁻¹
⚠️

Common Mistakes

Using the wrong MM — precipitate vs analyte
Students sometimes divide the precipitate mass by the MM of the analyte instead of the MM of the precipitate. You must convert precipitate mass → precipitate moles first (using MM of precipitate), then apply the ratio to get analyte moles.
✓ Fix: Step 1 always uses MM of the precipitate. The analyte MM only appears if the question asks for the mass of the analyte.
Forgetting the mole ratio step
When the equation has a 1:1 ratio (like BaSO₄ or AgCl), students often skip the ratio step entirely — and get away with it. But if the ratio is ever 2:1 or 1:2, skipping this step gives the wrong answer. Build the habit of always writing the ratio, even when it's 1:1.
✓ Fix: Always write the balanced equation, then explicitly write "mole ratio: X mol precipitate : Y mol analyte" before calculating.
Not subtracting the filter paper mass
The question will often give you the mass of the filter paper/crucible. If you forget to subtract it, your precipitate mass includes the paper — giving a result that is too high.
✓ Fix: m(precipitate) = m(filter + precipitate) − m(filter paper). Look for two mass values in the question.

📓 Copy Into Your Books

📖 Definition & Procedure

  • Gravimetric analysis: quantitative analysis by mass of a precipitate
  • 1. Dissolve sample 2. Add excess precipitant 3. Filter 4. Dry 5. Weigh
  • Must use insoluble precipitate for complete reaction
  • Dry in oven, cool in desiccator before weighing

🧮 Calculation Chain

  • m(precipitate) → ÷ MM → n(precipitate)
  • n(precipitate) → × mole ratio → n(analyte)
  • n(analyte) → × MM → m(analyte)
  • n(analyte) → ÷ V → c(analyte)

⚗️ Common Precipitates

  • BaSO₄ — measures SO₄²⁻
  • AgCl — measures Cl⁻
  • Both have 1:1 mole ratio with analyte
  • Both extremely insoluble — nearly complete precipitation

⚠️ Key Reminders

  • Use MM of precipitate (not analyte) for first step
  • Always write the balanced equation
  • Subtract filter paper mass before calculating
  • Excess reagent → drives reaction to completion

📝 How are you completing this lesson?

🧪 Activities

📊 Activity 1 — Calculation Drill

Gravimetric Calculations

Four problems covering the full calculation pathway. Write your working before revealing the answer.

  1. 1 A 0.2332 g precipitate of BaSO₄ is obtained from a water sample. Calculate the moles of SO₄²⁻ in the sample. (MM of BaSO₄ = 233.39 g mol⁻¹)

    Equation: Ba²⁺ + SO₄²⁻ → BaSO₄ (1:1 ratio)n(BaSO₄) = 0.2332 ÷ 233.39 = 9.99 × 10⁻⁴ moln(SO₄²⁻) = 9.99 × 10⁻⁴ mol (1:1 ratio)
  2. 2 A 100 mL seawater sample produces 0.5735 g of AgCl precipitate. Calculate the concentration of Cl⁻ in mol L⁻¹. (Ag = 107.87, Cl = 35.453)

    MM(AgCl) = 143.32 g mol⁻¹n(AgCl) = 0.5735 ÷ 143.32 = 4.001 × 10⁻³ mol = n(Cl⁻)c(Cl⁻) = 4.001 × 10⁻³ ÷ 0.100 = 0.0400 mol L⁻¹
  3. 3 The filter paper used in a gravimetric experiment had a mass of 1.2455 g. After drying, the filter paper plus precipitate weighed 1.6823 g. What is the mass of the precipitate?

    m(precipitate) = 1.6823 − 1.2455 = 0.4368 g
  4. 4 A 200 mL sample of industrial wastewater is analysed and found to contain 0.6798 g of BaSO₄ precipitate. Calculate the concentration of SO₄²⁻ in the sample in g L⁻¹. (MM of BaSO₄ = 233.39, S = 32.06, O = 15.999)

    n(BaSO₄) = 0.6798 ÷ 233.39 = 2.912 × 10⁻³ mol = n(SO₄²⁻)MM(SO₄²⁻) = 32.06 + 4(15.999) = 96.06 g mol⁻¹m(SO₄²⁻) = 2.912 × 10⁻³ × 96.06 = 0.2798 gc = 0.2798 ÷ 0.200 = 1.40 g L⁻¹

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❓ Multiple Choice

🎯

Test Your Knowledge

1. Why must excess precipitating reagent be added in gravimetric analysis?

A
To increase the solubility of the precipitate
B
To speed up the drying process
C
To ensure all the analyte is converted to precipitate
D
To increase the mass of the final precipitate

2. A sample produces 0.4660 g of BaSO₄. Using MM(BaSO₄) = 233.39 g mol⁻¹, which is the correct first step?

A
n = 0.4660 ÷ 96.06 (MM of SO₄²⁻)
B
n = 0.4660 ÷ 233.39 (MM of BaSO₄)
C
n = 0.4660 × 233.39
D
n = 0.4660 ÷ 137.33 (MM of Ba)

3. Why is the precipitate cooled in a desiccator before weighing?

A
To prevent it from reabsorbing moisture from the air
B
To allow the precipitate to continue drying
C
To prevent thermal expansion of the balance
D
To cool it quickly so it can be handled safely

4. In an experiment, a 0.9576 g precipitate of AgCl is obtained. How many moles of Cl⁻ were in the sample? (Ag = 107.87, Cl = 35.453)

A
2.70 × 10⁻² mol
B
8.88 × 10⁻³ mol
C
1.34 × 10⁻² mol
D
6.68 × 10⁻³ mol

5. Which of the following best explains why BaSO₄ is ideal for gravimetric determination of sulfate?

A
It is coloured, making it easy to see on filter paper
B
It is extremely insoluble, ensuring nearly complete precipitation of SO₄²⁻
C
It has a low molar mass, making calculations simpler
D
It reacts with filter paper, bonding tightly to aid collection

✍️ Short Answer

📝

Extended Questions

6. A student performs a gravimetric analysis of a 250 mL sample of water to determine its sulfate content. After adding excess BaCl₂ and collecting the precipitate, the filter paper weighed 1.1234 g before and 1.5566 g after drying. Calculate: (a) the mass of BaSO₄ precipitate, (b) the moles of SO₄²⁻ in the sample, and (c) the concentration of SO₄²⁻ in mol L⁻¹. (MM of BaSO₄ = 233.39 g mol⁻¹) 5 MARKS

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7. Describe the gravimetric procedure a student would follow to determine the mass of chloride ions (Cl⁻) in a 500 mL sample of tap water, using silver nitrate (AgNO₃) as the precipitating reagent. In your answer, identify the precipitate formed, justify why excess AgNO₃ is used, and explain why the precipitate must be dried before weighing. 5 MARKS

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✅ Comprehensive Answers

❓ Multiple Choice

1. C — Excess reagent drives the precipitation reaction to completion, ensuring all analyte forms precipitate.

2. B — The first step always uses the MM of the precipitate (BaSO₄ = 233.39) to convert mass to moles.

3. A — After oven drying, the hot precipitate would absorb water from air on the bench. The desiccator contains drying agent (e.g. silica gel) that removes atmospheric moisture.

4. D — MM(AgCl) = 143.32. n = 0.9576 ÷ 143.32 = 6.68 × 10⁻³ mol. 1:1 ratio → n(Cl⁻) = 6.68 × 10⁻³ mol.

5. B — The extremely low solubility (Ksp ≈ 1.1 × 10⁻¹⁰) ensures virtually all SO₄²⁻ precipitates — the reaction goes to completion, giving an accurate result.

📝 Short Answer Model Answers

Q6 (5 marks):

(a) m(BaSO₄) = 1.5566 − 1.1234 = 0.4332 g (b) n(BaSO₄) = 0.4332 ÷ 233.39 = 1.857 × 10⁻³ mol; n(SO₄²⁻) = 1.857 × 10⁻³ mol (1:1 ratio) (c) c(SO₄²⁻) = 1.857 × 10⁻³ ÷ 0.250 = 7.43 × 10⁻³ mol L⁻¹

Q7 (5 marks): Add excess AgNO₃(aq) to the 500 mL tap water sample and stir. The precipitate formed is AgCl(s) — a white, insoluble solid — via: Ag⁺(aq) + Cl⁻(aq) → AgCl(s). Excess AgNO₃ is used to ensure all Cl⁻ ions react and are converted to precipitate, driving the reaction to completion. Filter the precipitate through a pre-weighed filter paper, washing with distilled water to remove soluble impurities. Dry the precipitate in an oven at ~100°C and cool in a desiccator. The precipitate must be completely dry before weighing because any remaining water would add mass to the measurement, causing the calculated Cl⁻ content to be overestimated. Weigh the dry precipitate and subtract the filter paper mass to get m(AgCl), then calculate: n(AgCl) = m ÷ 143.32; n(Cl⁻) = n(AgCl); m(Cl⁻) = n × 35.453.

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