Water of crystallisation and hydrated salts: OCR A A-level Chemistry

Find the whole-number ratio of water to anhydrous salt.

OCR A · Amount of substance · Notes and practice

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Hydrated salts

4 practice questions

Hydrated salts and water of crystallisation

Learning goalFind the whole-number ratio of water to anhydrous salt.

🔓 CRACK IT

A hydrated salt has water molecules in a fixed ratio within its crystal structure. This is water of crystallisation; it is not simply a salt dissolved in water.

Hydrated salt
A salt containing water molecules as part of its crystal structure.
Water of crystallisation
Water molecules present in a fixed ratio within the crystal structure of a salt.
Anhydrous salt
A salt containing no water of crystallisation.

In salt·xH₂O, x tells you how many water molecules occur per formula unit of salt. Heating can remove that water and leave an anhydrous salt.

  1. Find the mass of anhydrous salt left after heating.
  2. Find the mass of water lost by subtracting the final sample mass from the initial sample mass.
  3. Convert salt and water masses separately into moles.
  4. Divide moles of water by moles of salt to find x.

Check the stated chemistry: this method assumes that the loss is water and that the residue is the intended anhydrous salt.

x = n(H2O) / n(anhydrous salt)

n amount of the specified substance or particles, in mol; x number of water molecules per formula unit of the anhydrous salt; a whole-number ratio with no unit.

Worked example

A hydrate from water percentage

MgSO4·xH2O contains 51.2% water by mass. M(MgSO4) = 120.4; M(H2O) = 18.0 g mol−1.

Determine x and write the formula of the hydrated salt.

Worked answer

QuantityMgSO4H2O
Mass / g48.851.2
M / g mol−1120.418.0
Amount / moln = m/M
n = 48.8/120.4 = 0.405316…
n = m/M
n = 51.2/18.0 = 2.84444…
Salt : water17.01785… ≈ 7
MgSO4·7H2O.
EXAM TRAPThe water percentage is not x. Convert both water and anhydrous salt masses to moles before comparing them.

🧪 TEST IT

Work on paper. Attempt each question before opening its answer. These are original CrackingChem questions, written in OCR A style.

Exam-style question 29

(a) State what is meant by an anhydrous salt. [1 mark]

(b) State what is meant by water of crystallisation. [2 marks]

(c) Explain the meaning of the dot and the 7 in MgSO4·7H2O. [2 marks]

Total: 5 marks

Show answer & marking points

(a)

An anhydrous salt contains no water of crystallisation [1]

(b)

Water molecules incorporated into a crystal structure [1]

They occur in a fixed ratio to the salt [1]

(c)

The dot separates MgSO4 from its water of crystallisation [1]

There are seven H2O molecules per MgSO4 formula unit [1]

Exam-style question 30

CoCl2·xH2O contains 45.4% water by mass. Determine x and the full formula. M(CoCl2) = 129.9 and M(H2O) = 18.0 g mol−1. (4 marks)

Total: 4 marks

Show answer & marking points

In 100 g, water mass = 45.4 g and anhydrous salt mass = 54.6 g. [1] n(water) = m/M
n(water) = 45.4/18.0 = 2.52222… mol; n(salt) = m/M
n(salt) = 54.6/129.9 = 0.420323… mol. [1] x = 2.52222…/0.420323… = 6.00067… ≈ 6. [1] CoCl2·6H2O. [1]

✓ DONE WHENFind the whole-number ratio of water to anhydrous salt.

Hydrates by heating to constant mass

Learning goalUse mass differences to calculate water lost and anhydrous salt left.

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The experiment measures a mass loss, so accurate weighing and controlled heating are essential.

  1. Weigh the dry empty crucible, then weigh it with the hydrated salt.
  2. Heat gently at first so the salt does not spit out of the crucible.
  3. Cool safely and weigh. Repeat heating, cooling and weighing until the mass is constant.
  4. Subtract the crucible mass to find the anhydrous salt mass.
  5. Subtract the final sample mass from the initial sample mass to find water lost, then convert both masses to moles.

Repeat heating, cooling and weighing until consecutive readings agree. This constant mass is evidence that all the water has been removed. Heat enough to remove the water without decomposing the salt, and cool before each weighing. Losing solid as well as water would spoil the calculated mole ratio.

Worked example

Hydrated copper(II) sulfate

Crucible: 25.000 g. Crucible + hydrate: 27.496 g. After successive heatings: 26.622, 26.596, 26.596 g. M(CuSO4) = 159.6; M(H2O) = 18.0 g mol−1.

Each mass after heating includes the crucible. Use the final constant mass to determine x in CuSO₄·xH₂O.

Worked answer

QuantityCuSO4H2O lost
Mass / gMass of salt = mass with salt − mass of empty container
26.596 − 25.000 = 1.596
Mass of water = mass before heating − mass after heating
27.496 − 26.596 = 0.900
M / g mol−1159.618.0
Amount / mol0.01000.0500
Salt : water15
CuSO4·5H2O.
EXAM TRAPUse the final constant mass, not the first heated mass. The crucible is not part of the salt sample.

Allow the crucible to cool before each weighing: a hot object creates air currents and buoyancy effects that can make the balance reading unreliable.

🧪 TEST IT

Work on paper. Attempt each question before opening its answer. These are original CrackingChem questions, written in OCR A style.

Exam-style question 31

FeSO4·xH2O is heated. Only water is lost. Empty crucible = 24.850 g; crucible + hydrate = 27.629 g. Successive heat–cool readings are 26.455, 26.371, 26.369 and 26.369 g. M(FeSO4) = 151.9 and M(H2O) = 18.0 g mol−1.

(a) Determine x and the full formula, explaining the final mass chosen and why heating, cooling and weighing are repeated. (8 marks)

(b) Explain why the solid is heated gently at first and cooled before weighing. (2 marks)

Total: 10 marks

Show answer & marking points

(a) Use 26.369 g, because two successive readings agree. [1] Anhydrous salt mass = 26.369 − 24.850 = 1.519 g. [1] Water mass = 27.629 − 26.369 = 1.260 g. [1] n(salt) = m/M
n(salt) = 1.519/151.9 = 0.0100 mol. [1] n(water) = m/M
n(water) = 1.260/18.0 = 0.0700 mol. [1] x = 7 [1]; FeSO4·7H2O. [1] Repeated heat–cool–weigh cycles check whether further measurable mass is lost, supporting complete dehydration under the stated water-only assumption. [1]

(b) Gentle initial heating reduces spitting and loss of solid. [1] Cooling avoids convection/buoyancy effects from a hot object giving an unreliable balance reading. [1]

✓ DONE WHENUse mass differences to calculate water lost and anhydrous salt left.

Evaluate hydrate experiments

Learning goalPredict how a practical error changes the calculated water ratio.

🔓 CRACK IT

To explain an experimental error, follow its effect on both quantities in x = n(water lost)/n(salt left). Saying 'x is inaccurate' does not explain the direction.

For example, incomplete removal of water makes the measured water loss too small and leaves the residue too heavy. Use the ratio to explain what that does to x.

Heat, cool and weigh the sample, then repeat until consecutive masses agree. This is evidence that no more water is being lost. Also check that the salt has not decomposed: a steady mass alone cannot identify the solid left behind.

ErrorRecorded anhydrous massRecorded water lossCalculated x
Incomplete water removalToo highToo lowToo low
Solid spits out during heatingToo lowToo highToo high
Salt reabsorbs water before weighingToo highToo lowToo low
Worked example

Heating is stopped too soon

A hydrate still contains some water at the final weighing.

Explain how this affects the calculated value of x in salt·xH₂O when the residue is assumed to be anhydrous.

Worked answer

The residue is recorded as anhydrous salt, so its calculated amount is too large. Too little mass is recorded as water lost, so the calculated water amount is too small.

The calculated value of x is too low.
EXAM TRAPDo not round a seriously non-integer ratio to a convenient hydrate without considering the measurements and procedure.

🧪 TEST IT

Work on paper. Attempt each question before opening its answer. These are original CrackingChem questions, written in OCR A style.

Exam-style question 32

A student calculates x from the water lost and the anhydrous salt left when a hydrate is heated. For each error, state the effect on the calculated x and explain it.

(a) Some water remains after the final heating. (2 marks)

(b) Solid is lost by spitting and all mass loss is treated as water. (2 marks)

(c) The residue absorbs water before weighing. (2 marks)

(d) Explain why constant mass alone does not prove that no salt decomposed. (1 mark)

Total: 7 marks

Show answer & marking points

(a) x is too low [1]: water loss is underestimated and the mass treated as anhydrous salt is too large. [1]

(b) x is too high [1]: apparent water loss is too large and salt remaining is underestimated. [1]

(c) x is too low [1]: reabsorbed water makes the recorded residue too heavy and the apparent water loss too small. [1]

(d) A constant reading shows no further measurable mass change under the conditions; it does not establish the chemical identity of the residue. [1]

✓ DONE WHENPredict how a practical error changes the calculated water ratio.

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