Theory — Gravimetric Analysis

The Idea of Gravimetric Analysis

Gravimetric analysis finds the amount of a substance by converting it into a solid of known composition, then weighing that solid. To find silver ions, chloride is added so the silver precipitates as insoluble silver chloride, AgCl. The precipitate is filtered, dried, and weighed.

Precipitation Reaction Ag⁺(aq) + Cl⁻(aq) → AgCl(s)↓

1 mole of AgCl contains exactly 1 mole of Ag⁺
Weighing the dry AgCl tells you how much Ag⁺ was present

Working Back to Concentration

From the mass of dry AgCl, find the moles of AgCl (and therefore moles of Ag⁺), then divide by the sample volume to get the concentration.

Calculation Steps moles AgCl = mass AgCl ÷ 143.32 g/mol
moles Ag⁺ = moles AgCl  (1 : 1)
mass Ag⁺ = moles Ag⁺ × 107.87 g/mol
[Ag⁺] = moles Ag⁺ ÷ volume of sample (L)
% Cl in a sample = (mass Cl in AgCl ÷ sample mass) × 100

Precipitation Titration

The same 1:1 reaction can be used as a titration: a standard silver nitrate solution is added to a chloride sample until all the chloride has reacted (the equivalence point). At that point the moles of Ag⁺ added equal the moles of Cl⁻ present.

Precipitation Titration M(Ag⁺) × V(Ag⁺) = M(Cl⁻) × V(Cl⁻)  (1 : 1 at equivalence)
[Cl⁻] = M(Ag⁺)·V(Ag⁺) / V(Cl⁻)

Precipitate

Ag⁺ + Cl⁻ → AgCl(s); an insoluble solid that can be filtered and weighed.

Mole Bridge

1 mol AgCl = 1 mol Ag⁺. The weighed solid gives the moles directly.

Constant Mass

Dry the precipitate to constant mass before weighing for an accurate result.

SpeciesMolar mass (g/mol)
AgCl143.32
Ag107.87
Cl35.45
AgNO₃169.87

Apparatus

The equipment a real gravimetric-analysis experiment uses. In the simulation these are modelled for you, but the readings correspond to what each instrument would measure.

filters solids
Filter funnel
Separates the precipitate from the solution.
heats to high temperature
Crucible & tongs
Holds the precipitate while it is dried or ignited.
0.000 gmeasures mass
Analytical balance
Weighs the dried precipitate to find the analyte mass.
keeps samples dry
Desiccator
Cools the sample without absorbing moisture before weighing.
heats and stirs
Drying oven / hot plate
Drives off water to constant mass.
holds solutions
Beaker
Where the precipitate is formed from the reagents.

Instructions — Running the Virtual Experiment

The simulation has three sections. In each one, calculate the answer yourself first, then run the experiment to check it, and record both values in your lab report with screenshots.

Part 1 — Precipitate & Weigh (Gravimetric tab)
1
Open Simulation → Gravimetric. Choose an unknown Ag⁺ sample and its volume, then add excess chloride and click Precipitate & weigh to obtain the mass of dry AgCl.
2
Calculate [Ag⁺] yourself from the weighed AgCl (moles AgCl → moles Ag⁺ → divide by volume), then compare with the value the experiment reports. Record the AgCl mass, your calculated [Ag⁺], and the lab value.
Part 2 — Percent Chloride (% Cl tab)
1
Open % Cl. Enter the mass of a sample and the mass of AgCl obtained from it. Calculate the percent chloride yourself first (mass of Cl in the AgCl ÷ sample mass × 100), then check.
Part 3 — Precipitation Titration (Titration tab)
1
Open Titration. Set the standard AgNO₃ concentration, the chloride sample volume, and the volume of AgNO₃ added to reach the equivalence point. Calculate [Cl⁻] yourself first with M(Ag⁺)V(Ag⁺) = M(Cl⁻)V(Cl⁻), then check.

Simulation — Gravimetric Analysis

Gravimetric Virtual LabPrecipitate · % Cl · Titrate
Reaction
Ag⁺(aq) + Cl⁻(aq) → AgCl(s)↓
1 mol AgCl contains 1 mol Ag⁺ (1 : 1)
How to find [Ag⁺]
mol AgCl = mass AgCl ÷ 143.32
mol Ag⁺ = mol AgCl
[Ag⁺] = mol Ag⁺ ÷ volume (L)
Silver sample

Step 1 — choose a fixed sample

Measured in the experiment
Sample volume— mL
Mass of dry AgCl— g

Step 2 — calculate, then check

mol AgCl = mol Ag⁺
Your [Ag⁺]
Correct [Ag⁺]
Weigh the precipitate, work out [Ag⁺], type it, then check.
Reaction
Cl⁻ in sample + Ag⁺ → AgCl(s)↓
All the chloride ends up as AgCl
How to find % chloride
mass Cl = (35.45 ÷ 143.32) × mass AgCl
% Cl = (mass Cl ÷ sample mass) × 100
Determine the percent chloride
in a weighed solid sample

Step 1 — choose a fixed sample

Given in the experiment
Mass of sample— g
Mass of AgCl obtained— g

Step 2 — calculate, then check

mass of Cl
Your % Cl
Correct % Cl
Work out the percent chloride, type it, then check.
Reaction
Ag⁺(aq) + Cl⁻(aq) → AgCl(s)↓
At the equivalence point, mol Ag⁺ added = mol Cl⁻ present (1 : 1)
How to find [Cl⁻]
mol Ag⁺ = M(AgNO₃) × V(AgNO₃ in L)
[Cl⁻] = mol Ag⁺ ÷ V(Cl⁻ in L)
Add AgNO₃ to the chloride sample

Step 1 — choose a fixed titration

Measured in the experiment
AgNO₃ conc.— M
Cl⁻ volume— mL
AgNO₃ at equivalence— mL

Step 2 — calculate, then check

mol Ag⁺ = mol Cl⁻
Your [Cl⁻]
Correct [Cl⁻]
Titrate, work out [Cl⁻], type it, then check.

Team Questions

Question 1. A precipitate of AgCl weighs 0.2867 g. How many moles of AgCl is that? (Molar mass 143.32; type to 5 decimals, e.g. 0.00200)
Question 2. How many moles of Ag⁺ were in the sample that gave 0.00200 mol of AgCl? (1:1 ratio)
Question 3. If those 0.00200 mol of Ag⁺ came from a 50.0 mL (0.0500 L) sample, what is [Ag⁺]? (Type to 4 decimals)
Question 4. What mass of Ag⁺ is in 0.00200 mol of silver? (Molar mass 107.87; type in g to 4 decimals)
Question 5. A 0.300 g sample gives 0.500 g of AgCl. What is the percent chloride? (mass Cl = (35.45/143.32)×0.500; type % to 1 decimal)
Question 6. In a titration, 24.0 mL of 0.100 mol/L AgNO₃ reaches the equivalence point with 25.0 mL of chloride. What is [Cl⁻]? (Type to 4 decimals)
Question 7 — Challenge. Why must the AgCl precipitate be dried to constant mass before weighing? (Answer in a phrase)

Example Lab Report

Sample report demonstrating the expected format. Include your weighed precipitate data, the full calculation of [Ag⁺], and the titration check, with labelled screenshots.

Gravimetric Analysis and Precipitation Titration

Chemistry | Section: [Your Section] | Date: [Date]

Lab Members: [Names of all members present]

Purpose

To determine the concentration of silver ions in an unknown solution by precipitating the silver as silver chloride, weighing the dry precipitate, and calculating [Ag⁺], then confirming the result by precipitation titration.

Theory

Silver ions react with chloride to form insoluble AgCl. Because 1 mole of AgCl contains 1 mole of Ag⁺, weighing the dry precipitate gives the moles of silver, and dividing by the sample volume gives the concentration.

Ag⁺ + Cl⁻ → AgCl(s) · mol AgCl = mass/143.32 · [Ag⁺] = mol/volume

Results (worked example)

QuantityValue
Sample volume50.0 mL = 0.0500 L
Mass of dry AgCl0.2866 g
moles AgCl = moles Ag⁺0.2866 / 143.32 = 0.00200 mol
mass of Ag⁺0.00200 × 107.87 = 0.2157 g
[Ag⁺]0.00200 / 0.0500 = 0.0400 mol/L

Titration check: 0.100 mol/L AgNO₃, 20.0 mL to reach equivalence with 50.0 mL sample → [Ag⁺] = (0.100 × 20.0)/50.0 = 0.0400 mol/L, matching the gravimetric result.

Analysis

The gravimetric and titration methods gave the same concentration of silver ions, confirming the result. The 1:1 mole relationship between AgCl and Ag⁺ is the key bridge from the weighed mass to the concentration. Sources of error include incomplete precipitation, loss of solid during filtering, or weighing before the precipitate was fully dry.

Conclusion

The concentration of silver ions in the unknown was determined to be 0.0400 mol/L by gravimetric analysis, confirmed by precipitation titration. Gravimetric analysis is an accurate way to find an ion concentration because it relies only on a mass measurement and a known mole relationship.

Practice Questions

Show all work. Molar masses: AgCl 143.32, Ag 107.87, Cl 35.45 g/mol. Use mol = mass/molar mass and [Ag⁺] = mol/volume.

Question 1
A 25.0 mL silver sample gives 0.3583 g of dry AgCl. Calculate the moles of Ag⁺ and the concentration [Ag⁺].
Hint: mol AgCl = 0.3583/143.32 = 0.00250; [Ag⁺] = 0.00250/0.0250 = 0.100 M.
Question 2
What mass of AgCl would precipitate from 50.0 mL of 0.0600 mol/L Ag⁺ (excess chloride)?
Hint: mol Ag⁺ = 0.0600 × 0.0500 = 0.00300; mass = 0.00300 × 143.32 = 0.430 g.
Question 3
A 0.40 g chloride-containing sample gives 0.80 g of AgCl. Calculate the percent chloride in the sample.
Hint: mass Cl = (35.45/143.32)×0.80 = 0.198 g; %Cl = 0.198/0.40 × 100 = 49.5%.
Question 4
In a precipitation titration, 30.0 mL of 0.100 mol/L AgNO₃ reaches the equivalence point with a 25.0 mL chloride sample. Find [Cl⁻].
Hint: [Cl⁻] = (0.100 × 30.0)/25.0 = 0.120 M.
Question 5
Explain why excess chloride is added in the gravimetric method.
Hint: to make sure all the silver is precipitated (complete reaction).
Question 6 — Challenge
A student filters the AgCl but does not dry it fully before weighing. State whether the calculated [Ag⁺] will be too high or too low, and explain.
Hint: leftover water adds mass, so the AgCl appears heavier → calculated [Ag⁺] too high.