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Enthalpy change of solution
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==Expressions in differential or integral form== The expressions of the enthalpy change of dissolution can be differential or [[integral]], as a function of the ratio of amounts of solute-solvent. The '''molar differential enthalpy change of dissolution''' is : <math>\Delta_\text{diss}^\text{d} H = \left(\frac{\partial \Delta_\text{diss} H}{\partial \Delta n_i}\right)_{T,p,n_B},</math> where {{tmath|\partial \Delta n_i}} is the infinitesimal variation, or differential, of the [[mole number]] of the solute during dissolution. The integral heat of dissolution is defined as a process of obtaining a certain amount of solution with a final concentration. The [[enthalpy]] change in this process, normalized by the [[mole number]] of solute, is evaluated as the '''molar integral heat of dissolution'''. Mathematically, the molar integral heat of dissolution is denoted as : <math>\Delta_\text{diss}^\text{i} H = \frac{\Delta_\text{diss} H}{n_B}.</math> The prime heat of dissolution is the differential heat of dissolution for obtaining an infinitely diluted solution.
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