* KS4 Science GCSE Chemistry 8. Important formulae, solubility curves & water of crystallisation Doc Brown's

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The pH scale of acidity and alkalinity, acids, alkalis, salts and neutralisation

8. Important formulae, solubility curves & water of crystallisation

Revision Notes KS4 Science IGCSE/O level/GCSE Chemistry Information Study Notes for revising for AQA GCSE Science, Edexcel 360Science/IGCSE Chemistry & OCR 21stC Science, OCR Gateway Science  (revise courses equal to US grades 9-10)

Advanced Level Chemistry Acid-Base Revision Notes - use index

GCSE Sub-index: Index of all pH, Acids, Alkalis, Salts Notes 1. Examples of acid-alkali chemistry : 2. pH scale, indicators, ionic theory of acids-alkali neutralisation : 3. pH examples of acid, neutral or alkaline solutions : 4. Acid reactions with metals/oxides/hydroxides/carbonates and neutralisation reactions : 5. Reactions of bases-alkalis like sodium hydroxide : 6. Four methods of making salts : 7. Changes in pH in a neutralisation : 8. Important formulae, salt solubility and water of crystallisation : 9. Further examples of word/symbol equations for salt preparations : 10. More on Acid-Base Theory and Weak and Strong Acids : EMAIL query?comment


8a. A Summary of important formulae, solubility and water of crystallisation

The original acids are

hydrochloric acid HCl,   sulphuric/sulfuric acid H2SO4  and  nitric acid HNO3

which give the salts when reacted with a metal, oxide, hydroxide or carbonate.

Formulae of bases: oxides, hydroxides  and carbonates

'molecular' formula and the 'real' ionic formula

Formulae of salts formed: soluble chlorides, sulphates and nitrates

'molecular' formula and the 'real' ionic formula

The metal (or other ion) involved
M2O oxide (M+)2O2-, soluble, alkali

(O and S both in Group 6, so sulfides have similar formula e.g. Na2S)

MOH hydroxide M+OH-, soluble, alkali

M2CO3 carbonate (M+)2CO32-, soluble mild alkali

MHCO3 hydrogencarbonate M+HCO3-, soluble, mild alkali

MCl chloride, M+Cl-

M2SO4 sulphate, (M+)2SO42-

MNO3 nitrate, M+NO3-

M = Li, Na, K,

usually Group 1

for the M+ ion

MO oxide M2+O2-, often insoluble base

(O and S both in Group 6, so sulphides have the same formula e.g. MgS, CuS)

M(OH)2 hydroxide M2+(OH-)2, often insoluble, alkali if soluble

MCO3 carbonate M2+CO32-, often insoluble

MCl2 chloride M2+(Cl-)2

MSO4 sulphate* M2+SO42-

M(NO3)2 the nitrate M2+(NO3-)2

*CaSO4 is not very soluble

M = Mg, Ca, Cu, Zn, Fe,

usually Group 2 or Transition metal

for the M2+ ion

Al2O3, Al(OH)3 (insoluble bases, amphoteric) AlCl3, Al2(SO4)3, Al(NO3)3 Al3+ ion, aluminium in Group 3
the alkaline soluble base ammonia, NH3, no stable hydroxide i.e. NH4OH doesn't exist NH4Cl, (NH4)2SO4, NH4NO3 the ammonium ion, NH4+, in the salts from ammonia

How to work out formulae is explained on another web page


8b Solubilty of salts - solubility curves

solubility curves for potassium nitrate, potassium sulphate/sulfate, sodium chloride, copper(II) sulphate

  • Interpretation of graph eg

    • Reading graph: at 38oC the solubility of copper sulphate, CuSO4, is 28g of anhydrous salt per 100g of water.

    • Reading graph: at 84oC the solubility of potassium sulphate, K2SO4, is 22g per 100g of water.

    • Ex Q1: How much potassium nitrate will dissolve in 20g of water at 34oC?

      • At 34oC the solubility is 52g per 100g of water,

      • so scaling down, 52 x 20 / 100 = 10.4g will dissolve in 20g of water

    • Ex Q2: At 25oC 6.9g of copper sulphate dissolved in 30g of water, what is its solubility in g/100cm3 of water?

      • Scaling up, 6.9 x 100 /30 = 23g/100g of water (check on graph, just less than 23g/100g water).

    • Ex Q3: 200 cm3 of saturated copper solution was prepared at a temperature of 90oC. What mass of copper sulphate crystals form if the solution was cooled to 20oC?

      • Solubility of copper sulphate at 90oC is 67g/100g water, and 21g/100g water at 20oC.

      • Therefore for mass of crystals formed = 67 - 21 = 46g (for 100 cm3 of solution).

      • However, 200 cm3 of solution was prepared,

      • so total mass of copper sulphate crystallised = 2 x 46 = 92g

  • Note: The density of water is close to 1.0g/cm3 or ml, so for approximate purposes. the volume in cm3 or ml of just the water is numerically close to the value in g, i.e. 100 cm3 of water or solution is about 100g of water.

Examples of

SALT SOLUBILITY DATA

SOLUBILITY

g salt / 100g water

Salt name

potassium nitrate

potassium sulphate

sodium chloride

hydrated copper(II) sulphate

and formula

Temp. oC

KNO3

K2SO4

NaCl

CuSO4 (anhydrous *)

0

13.9

7.4

35.7

14.3

10

21.2

9.3

35.8

17.4

20

31.6

11.1

36.0

20.7

30

45.3

13.0

36.2

24.2

40

61.4

14.8

36.5

28.7

50

83.5

16.5

36.8

33.8

60

106.0

18.2

37.3

40.0

70

 

19.8

37.6

47.0

80

 

21.4

38.1

56.0

90

 

22.9

38.6

67.5

100

 

24.1

39.2

80.0

       

* multiply by 1.562 for hydrated crystals CuSO4.5H2O


8c. Water of crystallisation calculations

  • Determination and calculation of salt formula containing 'water of crystallisation'.

    • Some salts, when crystallised from aqueous solution, incorporate water molecules into the structure. This is known as 'water of crystallisation', and the 'hydrated' form of the compound.

    • e.g. magnesium sulphate MgSO4.7H2O. The formula can be determined by a simple experiment (see the copper sulphate example below).

    • A known mass of the hydrated salt is gently heated in a crucible until no further water is driven off and the weight remains constant despite further heating. The mass of the anhydrous salt left is measured. The original mass of hydrated salt and the mass of the anhydrous salt residue can be worked out from the various weighings.

    • The % water of crystallisation and the formula of the salt are calculated as follows:

      • Suppose 6.25g of blue hydrated copper(II) sulphate, CuSO4.xH2O, (x unknown) was gently heated in a crucible until the mass remaining was 4.00g. This is the white anhydrous copper(II) sulphate.

      • The mass of anhydrous salt = 4.00g, mass of water (of crystallisation) driven off = 6.25-4.00 = 2.25g

      • The % water of crystallisation in the crystals  is 2.25 x 100 / 6.25 = 36%

      • [ Ar's Cu=64, S=32, O=16, H=1 ]

      • The mass ratio of CuSO4 : H2O is 4.00 : 2.25

      • To convert from mass ratio to mole ratio, you divide by the molecular mass of each 'species'

      • CuSO4 = 64 + 32 + (4x18) = 160 and H2O = 1+1+16 = 18

      • The mole ratio of CuSO4 : H2O is 4.00/160 : 2.25/18

      • which is 0.025 : 0.125 or 1 : 5, so the formula of the hydrated salt is CuSO4.5H2O

  • All concentration calculations are covered on the on-line CLICK for GCSE Chemical Calculations calculations page, especially sections 7. on molarity, 11. and 12. on molarity and acid-base (alkali) titrations, section 14.3 on dilutions.


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