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8Na + 5H3PO4 → 4Na2HPO4 + PH3↑ + 4H2O

The reaction of sodium and phosphoric acid yields sodium hydrogenphosphate, phosphine, and water (Other reactions are here). This reaction is an oxidation-reduction 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

Reaction of reducing species and reducible species
Reducing speciesReducing agent + Reducible speciesOxidizing agent
ProductOxidation product + ProductReduction product

Oxidation state of each atom

Reaction of sodium and phosphoric acid

Reactants

Chemical formulaNameCoefficientTypeType in general
equation
NaSodium8
Reducing
Reducing
H3PO4Phosphoric acid5
Oxidizing
Reducible

Products

Chemical formulaNameCoefficientTypeType in general
equation
Na2HPO4Sodium hydrogenphosphate4
Oxidized
PH3Phosphine1
Reduced
H2OWater4

Thermodynamic changes

Changes in standard condition

Reaction of sodium and phosphoric acid
ΔrG−1772.4 kJ/mol
K3.24 × 10310
pK−310.51
8NaCrystalline solid + 5H3PO4Crystalline solid
4Na2HPO4Crystalline solid + PH3Gas + 4H2OLiquid
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
−1735.3−1772.4129.69123.29
per 1 mol of
−216.91−221.5516.21115.411
per 1 mol of
−347.06−354.4825.93824.658
−433.82−443.1032.42230.823
per 1 mol of
−1735.3−1772.4129.69123.29
per 1 mol of
−433.82−443.1032.42230.823

Changes in aqueous solution (1)

Reaction of sodium and phosphoric acid
ΔrG−1674.3 kJ/mol
K2.11 × 10293
pK−293.32
8NaCrystalline solid + 5H3PO4Un-ionized aqueous solution
4Na2HPO4Ionized aqueous solution + PH3Gas + 4H2OLiquid
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
−1785.7−1674.3−372.8
per 1 mol of
−223.21−209.29−46.60
per 1 mol of
−357.14−334.86−74.56
−446.43−418.57−93.20
per 1 mol of
−1785.7−1674.3−372.8
per 1 mol of
−446.43−418.57−93.20

Changes in aqueous solution (2)

Reaction of sodium and phosphoric acid
ΔrG−1662.38 kJ/mol
K1.72 × 10291
pK−291.24
8NaCrystalline solid + 5H3PO4Un-ionized aqueous solution
4Na2HPO4Ionized aqueous solution + PH3Un-ionized aqueous solution + 4H2OLiquid
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
−1800.64−1662.38−462.9
per 1 mol of
−225.080−207.798−57.86
per 1 mol of
−360.128−332.476−92.58
−450.160−415.595−115.7
per 1 mol of
−1800.64−1662.38−462.9
per 1 mol of
−450.160−415.595−115.7

Changes in aqueous solution (3)

Reaction of sodium and phosphoric acid
ΔrG−2293.5 kJ/mol
K6.37 × 10401
pK−401.80
8NaCrystalline solid + 5H3PO4Ionized aqueous solution
4Na2HPO4Ionized aqueous solution + PH3Gas + 4H2OLiquid
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
−1840.4−2293.51519.7
per 1 mol of
−230.05−286.69189.96
per 1 mol of
−368.08−458.70303.94
−460.10−573.38379.93
per 1 mol of
−1840.4−2293.51519.7
per 1 mol of
−460.10−573.38379.93

Changes in aqueous solution (4)

Reaction of sodium and phosphoric acid
ΔrG−2281.6 kJ/mol
K5.24 × 10399
pK−399.72
8NaCrystalline solid + 5H3PO4Ionized aqueous solution
4Na2HPO4Ionized aqueous solution + PH3Un-ionized aqueous solution + 4H2OLiquid
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
−1855.3−2281.61429.6
per 1 mol of
−231.91−285.20178.70
per 1 mol of
−371.06−456.32285.92
−463.82−570.40357.40
per 1 mol of
−1855.3−2281.61429.6
per 1 mol of
−463.82−570.40357.40

Changes in aqueous solution (5)

Reaction of sodium and phosphoric acid
ΔrG−1674.3 kJ/mol
K2.11 × 10293
pK−293.32
8NaCrystalline solid + 5H3PO4Un-ionized aqueous solution
4Na2HPO4Ionized aqueous solution + PH3Gas + 4H2OLiquid
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
−1785.7−1674.3−372.8
per 1 mol of
−223.21−209.29−46.60
per 1 mol of
−357.14−334.86−74.56
−446.43−418.57−93.20
per 1 mol of
−1785.7−1674.3−372.8
per 1 mol of
−446.43−418.57−93.20

Changes in aqueous solution (6)

Reaction of sodium and phosphoric acid
ΔrG−1662.38 kJ/mol
K1.72 × 10291
pK−291.24
8NaCrystalline solid + 5H3PO4Un-ionized aqueous solution
4Na2HPO4Ionized aqueous solution + PH3Un-ionized aqueous solution + 4H2OLiquid
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
−1800.64−1662.38−462.9
per 1 mol of
−225.080−207.798−57.86
per 1 mol of
−360.128−332.476−92.58
−450.160−415.595−115.7
per 1 mol of
−1800.64−1662.38−462.9
per 1 mol of
−450.160−415.595−115.7

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
Na (cr)0[1]0[1]51.21[1]28.24[1]
Na (g)107.32[1]76.761[1]153.712[1]20.786[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, (l):Liquid, (ai):Ionized aqueous solution, (ao):Un-ionized aqueous solution

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
Na2HPO4 (cr)-1748.1[1]-1608.2[1]150.50[1]135.31[1]
Na2HPO4 (ai)-1772.38[1]-1612.98[1]84.5[1]
Na2HPO4 (cr)
2 hydrate
-2346.0[1]-2088.5[1]221.3[1]
Na2HPO4 (cr)
7 hydrate
-3821.7[1]-3279.8[1]434.59[1]
Na2HPO4 (cr)
12 hydrate
-5297.8[1]-4467.8[1]633.83[1]
PH3 (g)5.4[1]13.4[1]210.23[1]37.11[1]
PH3 (ao)-9.50[1]25.36[1]120.1[1]
H2O (cr)
H2O (l)-285.830[1]-237.129[1]69.91[1]75.291[1]
H2O (g)-241.818[1]-228.572[1]188.825[1]33.577[1]
* (cr):Crystalline solid, (ai):Ionized aqueous solution, (g):Gas, (ao):Un-ionized aqueous solution, (l):Liquid

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)