Enthalpy of Solution (Δsol H): Meaning, Formula and NEET Concept

Chemistry · Thermodynamics · NEET

Enthalpy of solution (Δsol H) is the heat change when 1 mole of a substance dissolves in a fixed amount of solvent. For an ionic salt, it equals the lattice enthalpy plus the hydration enthalpy: Δsol H = Δlattice H + Δhyd H. Memory hook: "SOLUTION = break the crystal (cost, +) then wrap ions in water (payback, −); the leftover heat is Δsol H."
Enthalpy of Solution: two steps add upSolid crystalMX(s)Gaseous ionsM+(g) + X-(g)Hydrated ionsM+(aq) + X-(aq)+ Δlattice H(cost, +)+ Δhyd H(payback, −)Δsol H = Δlattice H + Δhyd H
Dissolving an ionic salt has two steps: breaking the lattice (energy cost, positive) and hydrating the ions (energy release, negative). Their sum is the enthalpy of solution, Δsol H.

Your doubts, answered

What exactly is enthalpy of solution in simple words?

It is the heat given out or taken in when 1 mole of a substance dissolves in a stated amount of solvent (usually water) at constant pressure. The symbol is Δsol H. If heat is absorbed, Δsol H is positive (endothermic, like most salts). If heat is released, Δsol H is negative (exothermic). For NEET, remember the amount of solvent must be stated, because the value changes with how much water you use.

What is the formula linking enthalpy of solution to lattice and hydration enthalpy?

Δsol H = Δlattice H + Δhyd H. When an ionic salt dissolves, first the crystal must be pulled apart into free gaseous ions (this needs energy, so Δlattice H used this way is positive). Then water surrounds the ions and releases energy (Δhyd H is negative). The final heat you measure is the sum of these two steps. This is the single most tested idea for this concept in NEET.

Why is enthalpy of solution positive for most salts?

For most ionic salts the lattice enthalpy (energy needed to break the crystal) is slightly larger than the energy released by hydration. So the break-up step costs a little more than the hydration payback, and the net Δsol H comes out positive (endothermic). That is why dissolving salts like KNO3 or NH4Cl makes the water feel colder. NCERT states that for most ionic compounds Δsol H is positive and dissolution is endothermic.

What is the difference between enthalpy of solution and enthalpy of hydration?

Enthalpy of hydration (Δhyd H) is only ONE step: the energy released when gaseous ions get surrounded by water molecules. It is always negative. Enthalpy of solution (Δsol H) is the WHOLE process: crystal breaking PLUS hydration together. So Δhyd H is part of Δsol H, not the same thing. Students often mix these up in NEET options.

Why does solubility of most salts increase when you heat the water?

Because for most salts dissolution is endothermic (Δsol H is positive, it absorbs heat). By Le Chatelier's principle, adding heat pushes an endothermic process forward, so more salt dissolves at higher temperature. If a salt's dissolution were exothermic (Δsol H negative), heating would lower its solubility. NCERT links this directly to the sign of Δsol H.

What does 'at infinite dilution' mean for enthalpy of solution?

It means you dissolve the substance in so much water that the dissolved ions are too far apart to affect each other. At this point adding even more water no longer changes the heat, so Δsol H reaches a fixed limiting value. NCERT defines the enthalpy of solution at infinite dilution as the value when interactions between the ions are negligible.

Does the lattice enthalpy sign matter here? I keep making sign errors.

Yes, watch the direction. Lattice enthalpy defined as crystal → gaseous ions is POSITIVE (energy needed, e.g. NaCl +788 kJ/mol). Hydration enthalpy (gaseous ions → hydrated ions) is NEGATIVE. In Δsol H = Δlattice H + Δhyd H you add a positive and a negative number, so the net can be small positive, small negative, or near zero. For NaCl the two nearly cancel, giving very little heat change.

⚠️ The NEET trap
Enthalpy of solution is always negative because dissolving releases energy when water surrounds the ions.
For most ionic salts Δsol H is POSITIVE (endothermic), because the lattice-breaking cost is slightly larger than the hydration payback. Δsol H = Δlattice H + Δhyd H, and the sign depends on which term wins.
🧠 NTA loves the word 'always'. Hydration alone is always negative, but the FULL enthalpy of solution is usually positive for salts. If an option says solution enthalpy is always exothermic, it is a trap.

Solved Thermodynamics NEET PYQs

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Frequently asked

Is enthalpy of solution an extensive or intensive property?

As stated per mole (Δsol H in kJ/mol) it behaves like a molar property, so its per-mole value does not depend on how much salt you take. The total heat, however, is extensive because it scales with the number of moles dissolved.

What is the enthalpy of solution of NaCl?

It is very small. NaCl has lattice enthalpy about +788 kJ/mol and a nearly equal negative hydration enthalpy, so they almost cancel and dissolving NaCl gives very little heat change. This is a classic NCERT example.

How is enthalpy of solution measured?

By calorimetry at constant pressure. You dissolve a known mole amount and measure the temperature change of the solution, then use heat = mass × specific heat × ΔT to find the heat exchanged per mole.

When is dissolving a salt exothermic?

When the hydration enthalpy released is larger than the lattice enthalpy needed to break the crystal, making Δsol H negative. Anhydrous CaCl2 is a common exothermic example that warms the water.

Why do many fluorides dissolve less than the matching chlorides?

Small F− ions sit close to cations, giving a very high lattice enthalpy. This large break-up cost makes Δsol H strongly positive, so many fluorides are less soluble than the corresponding chlorides. NCERT raises this exact question.