Enthalpy of Solution = Lattice Enthalpy + Hydration Enthalpy

Chemistry · Thermodynamics · NEET

When an ionic solid like NaCl dissolves in water, two things happen. First, energy goes IN to pull the ions apart (this is the positive lattice enthalpy). Then energy comes OUT as water surrounds the ions (this is the negative hydration enthalpy). So Delta_sol H = Delta_lattice H + Delta_hyd H. Memory hook: "Break the crystal (+), then wrap in water (-). Add them and you get the dissolving answer."
Delta_sol H = Delta_lattice H (+) + Delta_hyd H (-)AB (s) solidionic crystalA+(g) + B-(g)free gas ionsA+(aq)+B-(aq)hydrated ions+ Delta_lattice Henergy IN (break)- Delta_hyd Henergy OUT (wrap)Add both steps to get the heat of dissolving
Dissolving in two steps: break the crystal into gas ions (lattice enthalpy, positive, energy in), then let water surround the ions (hydration enthalpy, negative, energy out). Their sum is Delta_sol H.

Your doubts, answered

What exactly is the formula Delta_sol H = Delta_lattice H + Delta_hyd H saying?

It splits dissolving into two steps. Step 1: pull one mole of the solid apart into free gas-phase ions. This needs energy, so Delta_lattice H is positive (for NaCl it is +788 kJ/mol). Step 2: water molecules surround those ions and stick to them. This releases energy, so Delta_hyd H is negative. The total heat of dissolving is just these two added together. NEET loves this because you only need the two numbers and their correct signs.

Why is lattice enthalpy positive but hydration enthalpy negative?

Lattice enthalpy is the energy REQUIRED to separate one mole of a solid ionic compound into gaseous ions. You are breaking strong ion-ion attractions, so energy goes in and the sign is positive (+). Hydration enthalpy is the energy RELEASED when gas-phase ions get surrounded by water. New ion-water attractions form, so energy comes out and the sign is negative (-). Breaking costs energy; making bonds gives energy back.

How do I know if a salt will dissolve using these two numbers?

Compare the sizes. If hydration enthalpy (the negative number) is LARGER in size than lattice enthalpy (the positive number), then Delta_sol H is negative or only slightly positive, and the salt usually dissolves. If lattice enthalpy is much bigger, Delta_sol H is strongly positive and the salt is nearly insoluble. NCERT gives lithium fluoride (LiF) as an example that barely dissolves because its lattice enthalpy is too high.

Is a positive Delta_sol H always non-spontaneous? Does the salt refuse to dissolve?

No. Many salts dissolve even though Delta_sol H is positive (dissolving feels cold, endothermic). Dissolving also increases disorder (entropy goes up), and spontaneity depends on Delta G = Delta H - T*Delta S, not on enthalpy alone. So a small positive Delta_sol H can still be spontaneous. This is a classic trap: 'endothermic' does not mean 'will not happen'.

What is the difference between hydration enthalpy and solvation enthalpy?

Solvation enthalpy is the general word for energy released when ions are surrounded by ANY solvent. Hydration enthalpy is the special case when the solvent is water. So hydration is a type of solvation. Both are always negative because ion-solvent attractions form and release energy. NCERT notes non-polar solvents give very small solvation enthalpy, which is why ionic salts do not dissolve in oil or petrol.

⚠️ The NEET trap
Delta_sol H is negative, so dissolving is exothermic; therefore a salt with positive Delta_sol H can never dissolve on its own.
Delta_sol H can be positive (endothermic) and the salt still dissolves. Dissolving raises entropy, and spontaneity is decided by Delta G = Delta H - T*Delta S, not by enthalpy alone.
🧠 Endothermic is NOT the same as impossible. Cold-pack salts dissolve while getting cold.

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Frequently asked

What is the correct formula for enthalpy of solution?

Delta_sol H = Delta_lattice H + Delta_hyd H. Lattice enthalpy is positive (energy to break the crystal into gas ions) and hydration enthalpy is negative (energy released when water surrounds the ions). Add them to get the heat of dissolving.

What is the lattice enthalpy of NaCl?

NCERT gives the lattice enthalpy of NaCl as +788 kJ/mol. This is the energy needed to fully separate one mole of solid NaCl into gaseous Na+ and Cl- ions.

Why does LiF not dissolve well in water?

LiF has a very high lattice enthalpy because both ions are small and strongly attracted. The hydration enthalpy released is not enough to overcome it, so Delta_sol H is strongly positive and LiF is almost insoluble.

Does hydration enthalpy depend on ion size and charge?

Yes. Smaller ions and higher-charge ions attract water more strongly, so they release more energy and have a more negative hydration enthalpy. This is why small, highly charged ions are strongly hydrated.

Is enthalpy of solution the only thing that decides solubility?

No. Entropy also matters. Since dissolving usually increases disorder, a salt can dissolve even when Delta_sol H is positive. The real test of spontaneity is Delta G = Delta H - T*Delta S.