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Ca3(PO4)2 + 6HBr → 3CaBr2 + 2H3PO4

The reaction of calcium phosphate and hydrogen bromide yields calcium bromide and phosphoric acid (Other reactions are here). This reaction is an acid-base reaction and is classified as follows:

Table of contents
  1. 1Reaction data
  2. 2Thermodynamic changes
  3. 3References
  4. 4Related reactions
  5. 5Related categories

Reaction data

Chemical equation

General equation

Oxidation state of each atom

Reactants

Chemical formulaNameCoefficientTypeType in general
equation
Ca3(PO4)2Calcium phosphate1
Brønsted base
Salt of weak acid
HBrHydrogen bromide6
Brønsted acid
Strong acid

Products

Chemical formulaNameCoefficientTypeType in general
equation
CaBr2Calcium bromide3
Conjugate base
Salt of strong acid
H3PO4Phosphoric acid2
Conjugate acid
Weak acid

Thermodynamic changes

Changes in standard condition (1)

Reaction of calcium phosphate and hydrogen bromide
ΔrG−23.6 kJ/mol
K1.36 × 104
pK−4.13
Ca3(PO4)2Crystalline solidβ, low temp. form + 6HBrGas
3CaBr2Crystalline solid + 2H3PO4Crystalline solid
Standard enthalpy
of reaction
ΔrH°
kJ · mol−1
Standard
Gibbs energy
of reaction
ΔrG°
kJ · mol−1
Standard entropy
of reaction
ΔrS°
J · K−1 · mol−1
Standard heat
capacity of reaction
at constant pressure
ΔrCp°
J · K−1 · mol−1
per 1 mol of
Equation
−267.2−23.6−817
per 1 mol of
−267.2−23.6−817
per 1 mol of
−44.53−3.93−136
per 1 mol of
−89.07−7.87−272
per 1 mol of
−133.6−11.8−409

Changes in standard condition (2)

Reaction of calcium phosphate and hydrogen bromide
ΔrG−32.8 kJ/mol
K5.58 × 105
pK−5.75
Ca3(PO4)2Crystalline solidα, high temp. form + 6HBrGas
3CaBr2Crystalline solid + 2H3PO4Crystalline solid
Standard enthalpy
of reaction
ΔrH°
kJ · mol−1
Standard
Gibbs energy
of reaction
ΔrG°
kJ · mol−1
Standard entropy
of reaction
ΔrS°
J · K−1 · mol−1
Standard heat
capacity of reaction
at constant pressure
ΔrCp°
J · K−1 · mol−1
per 1 mol of
Equation
−278.1−32.8−822
per 1 mol of
−278.1−32.8−822
per 1 mol of
−46.35−5.47−137
per 1 mol of
−92.70−10.9−274
per 1 mol of
−139.1−16.4−411

Changes in aqueous solution (1)

Reaction of calcium phosphate and hydrogen bromide
ΔrG−61.1 kJ/mol
K5.06 × 1010
pK−10.70
Ca3(PO4)2Crystalline solidβ, low temp. form + 6HBrIonized aqueous solution
3CaBr2Ionized aqueous solution + 2H3PO4Un-ionized aqueous solution
Standard enthalpy
of reaction
ΔrH°
kJ · mol−1
Standard
Gibbs energy
of reaction
ΔrG°
kJ · mol−1
Standard entropy
of reaction
ΔrS°
J · K−1 · mol−1
Standard heat
capacity of reaction
at constant pressure
ΔrCp°
J · K−1 · mol−1
per 1 mol of
Equation
−84.3−61.1−78.9
per 1 mol of
−84.3−61.1−78.9
per 1 mol of
−14.0−10.2−13.2
per 1 mol of
−28.1−20.4−26.3
per 1 mol of
−42.1−30.6−39.5

Changes in aqueous solution (2)

Reaction of calcium phosphate and hydrogen bromide
ΔrG−61.1 kJ/mol
K5.06 × 1010
pK−10.70
Ca3(PO4)2Crystalline solidβ, low temp. form + 6HBrIonized aqueous solution
3CaBr2Ionized aqueous solution + 2H3PO4Un-ionized aqueous solution
Standard enthalpy
of reaction
ΔrH°
kJ · mol−1
Standard
Gibbs energy
of reaction
ΔrG°
kJ · mol−1
Standard entropy
of reaction
ΔrS°
J · K−1 · mol−1
Standard heat
capacity of reaction
at constant pressure
ΔrCp°
J · K−1 · mol−1
per 1 mol of
Equation
−84.3−61.1−78.9
per 1 mol of
−84.3−61.1−78.9
per 1 mol of
−14.0−10.2−13.2
per 1 mol of
−28.1−20.4−26.3
per 1 mol of
−42.1−30.6−39.5

Changes in aqueous solution (3)

Reaction of calcium phosphate and hydrogen bromide
ΔrG−70.3 kJ/mol
K2.07 × 1012
pK−12.32
Ca3(PO4)2Crystalline solidα, high temp. form + 6HBrIonized aqueous solution
3CaBr2Ionized aqueous solution + 2H3PO4Un-ionized aqueous solution
Standard enthalpy
of reaction
ΔrH°
kJ · mol−1
Standard
Gibbs energy
of reaction
ΔrG°
kJ · mol−1
Standard entropy
of reaction
ΔrS°
J · K−1 · mol−1
Standard heat
capacity of reaction
at constant pressure
ΔrCp°
J · K−1 · mol−1
per 1 mol of
Equation
−95.2−70.3−83.8
per 1 mol of
−95.2−70.3−83.8
per 1 mol of
−15.9−11.7−14.0
per 1 mol of
−31.7−23.4−27.9
per 1 mol of
−47.6−35.1−41.9

Changes in aqueous solution (4)

Reaction of calcium phosphate and hydrogen bromide
ΔrG−70.3 kJ/mol
K2.07 × 1012
pK−12.32
Ca3(PO4)2Crystalline solidα, high temp. form + 6HBrIonized aqueous solution
3CaBr2Ionized aqueous solution + 2H3PO4Un-ionized aqueous solution
Standard enthalpy
of reaction
ΔrH°
kJ · mol−1
Standard
Gibbs energy
of reaction
ΔrG°
kJ · mol−1
Standard entropy
of reaction
ΔrS°
J · K−1 · mol−1
Standard heat
capacity of reaction
at constant pressure
ΔrCp°
J · K−1 · mol−1
per 1 mol of
Equation
−95.2−70.3−83.8
per 1 mol of
−95.2−70.3−83.8
per 1 mol of
−15.9−11.7−14.0
per 1 mol of
−31.7−23.4−27.9
per 1 mol of
−47.6−35.1−41.9

Changes in aqueous solution (5)

Reaction of calcium phosphate and hydrogen bromide
ΔrG186.6 kJ/mol
K0.20 × 10−32
pK32.69
Ca3(PO4)2Crystalline solidβ, low temp. form + 6HBrIonized aqueous solution
3CaBr2Ionized aqueous solution + 2H3PO4Ionized aqueous solution
Standard enthalpy
of reaction
ΔrH°
kJ · mol−1
Standard
Gibbs energy
of reaction
ΔrG°
kJ · mol−1
Standard entropy
of reaction
ΔrS°
J · K−1 · mol−1
Standard heat
capacity of reaction
at constant pressure
ΔrCp°
J · K−1 · mol−1
per 1 mol of
Equation
−62.5186.6−835.9
per 1 mol of
−62.5186.6−835.9
per 1 mol of
−10.431.10−139.3
per 1 mol of
−20.862.20−278.6
per 1 mol of
−31.393.30−417.9

Changes in aqueous solution (6)

Reaction of calcium phosphate and hydrogen bromide
ΔrG177.4 kJ/mol
K0.83 × 10−31
pK31.08
Ca3(PO4)2Crystalline solidα, high temp. form + 6HBrIonized aqueous solution
3CaBr2Ionized aqueous solution + 2H3PO4Ionized aqueous solution
Standard enthalpy
of reaction
ΔrH°
kJ · mol−1
Standard
Gibbs energy
of reaction
ΔrG°
kJ · mol−1
Standard entropy
of reaction
ΔrS°
J · K−1 · mol−1
Standard heat
capacity of reaction
at constant pressure
ΔrCp°
J · K−1 · mol−1
per 1 mol of
Equation
−73.4177.4−840.8
per 1 mol of
−73.4177.4−840.8
per 1 mol of
−12.229.57−140.1
per 1 mol of
−24.559.13−280.3
per 1 mol of
−36.788.70−420.4

Thermodynamic data of reactants

Chemical formulaStandard enthalpy
of formation
ΔfH°
kJ · mol−1
Standard Gibbs
energy of
formation
ΔfG°
kJ · mol−1
Standard
molar entropy
S°
J · K−1 · mol−1
Standard molar
heat capacity at
constant pressure
Cp°
J · K−1 · mol−1
Ca3(PO4)2 (cr)
β, low temp. form
-4120.8[1]-3884.7[1]236.0[1]227.82[1]
Ca3(PO4)2 (cr)
α, high temp. form
-4109.9[1]-3875.5[1]240.91[1]231.58[1]
Ca3(PO4)2 (ai)-4183.2[1]-3698.1[1]-599.9[1]
HBr (g)-36.40[1]-53.45[1]198.695[1]29.142[1]
HBr (ai)-121.55[1]-103.96[1]82.4[1]-141.8[1]
* (cr):Crystalline solid, (ai):Ionized aqueous solution, (g):Gas

Thermodynamic data of products

Chemical formulaStandard enthalpy
of formation
ΔfH°
kJ · mol−1
Standard Gibbs
energy of
formation
ΔfG°
kJ · mol−1
Standard
molar entropy
S°
J · K−1 · mol−1
Standard molar
heat capacity at
constant pressure
Cp°
J · K−1 · mol−1
CaBr2 (cr)-682.8[1]-663.6[1]130[1]
CaBr2 (g)-398.3[1]
CaBr2 (ai)-785.92[1]-761.49[1]111.7[1]
CaBr2 (cr)
6 hydrate
-2506.2[1]-2152.8[1]410[1]
H3PO4 (cr)-1279.0[1]-1119.1[1]110.50[1]106.06[1]
H3PO4 (l)-1266.9[1]
H3PO4 (ai)-1277.4[1]-1018.7[1]-220.3[1]
H3PO4 (ao)-1288.34[1]-1142.54[1]158.2[1]
H3PO4 (cr)
0.5 hydrate
-1431.3[1]-1242.1[1]129.16[1]126.02[1]
H3PO4 (cr)
1 hydrate
-1568.83[1]
* (cr):Crystalline solid, (g):Gas, (ai):Ionized aqueous solution, (l):Liquid, (ao):Un-ionized aqueous solution

References

List of references

  1. 1
    Janiel J. Reed (1989)
    The NBS Tables of Chemical Thermodynamic Properties: Selected Values for Inorganic and C1 and C2 Organic Substances in SI Units
    National Institute of Standards and Technology (NIST)