Enthalpy of neutralization

In chemistry and thermodynamics, the enthalpy of neutralization (Δ_nH) is the change in enthalpy that occurs when one equivalent of an acid and a base undergo a neutralization reaction to form water and a salt. It is a special case of the enthalpy of reaction. It is defined as the energy released with the formation of 1 mole of water. When a reaction is carried out under standard conditions at the temperature of 298 K (25 °C) and 1 bar of pressure and one mole of water is formed, the heat released by the reaction is called the standard enthalpy of neutralization (Δ_nH^⊖).

The heat (Q) released during a reaction is

${\displaystyle Q=mc_{p}\Delta T}${\displaystyle Q=mc_{p}\Delta T}

where m is the mass of the solution, c_p is the specific heat capacity of the solution, and ∆T is the temperature change observed during the reaction. From this, the standard enthalpy change (∆H) is obtained by division with the amount of substance (in moles) involved.

${\displaystyle \Delta H=-{\frac {Q}{n}}}${\displaystyle \Delta H=-{\frac {Q}{n}}}

When a strong acid, HA, reacts with a strong base, BOH, the reaction that occurs is

${\displaystyle {\ce {H+ + OH^- -> H2O}}}${\displaystyle {\mathrm {H} {\vphantom {A}}^{+}{}+{}\mathrm {OH} {\vphantom {A}}^{-}{}\mathrel {\longrightarrow } {}\mathrm {H} {\vphantom {A}}_{\smash[{t}]{2}}\mathrm {O} }}

as the acid and the base are fully dissociated and neither the cation B⁺ nor the anion A⁻ are involved in the neutralization reaction.^[1] The enthalpy change for this reaction is −57.62 kJ/mol at 25 °C.

For weak acids or bases, the heat of neutralization is pH-dependent.^[1] In the absence of any added mineral acid or alkali, some heat is required for complete dissociation. The total heat evolved during neutralization will be smaller.

e.g. ${\displaystyle {\ce {HCN + NaOH -> NaCN + H2O}};\ \Delta H}${\displaystyle {\mathrm {HCN} {}+{}\mathrm {NaOH} {}\mathrel {\longrightarrow } {}\mathrm {NaCN} {}+{}\mathrm {H} {\vphantom {A}}_{\smash[{t}]{2}}\mathrm {O} };\ \Delta H} = −12 kJ/mol at 25 °C

The heat of ionization for this reaction is equal to (−12 + 57.3) = 45.3 kJ/mol at 25 °C.^[2]

• Enthalpy
• Thermochemistry
• Acid–base chemistry

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• Short description matches Wikidata