How this calculation works
Convert solute mass to moles and divide by kilograms of solvent. Apply the entered effective particle factor and solvent constants, then shift the entered pure-solvent temperatures.
Molality = solute grams / molar mass / solvent kg; ΔTf = i Kf m; ΔTb = i Kb mA worked example
Ten grams of a 100 g/mol solute in 1 kg solvent has molality 0.1 mol/kg. At factor one, Kf 1.86 and Kb 0.512, ideal temperature shifts are 0.186 K downward and 0.0512 K upward.
Good to know
Ideal dilute nonvolatile-solute model only. No solubility, precipitation, concentration validity, association, pressure correction or product-safety recommendation. Factor and solvent constants are entered assumptions.
Reference: OpenStax: colligative properties (opens in a new tab) ↗
Molality uses solvent mass alone
The denominator is kilograms of solvent before adding solute, not total solution mass and not litres of the final liquid. That distinction is especially important when solute makes up a large part of the mixture.
This page does not derive density or convert solution volume to solvent mass. Enter a measured or otherwise supported solvent quantity on the required basis.
The empirical and molecular formula candidate calculator adds infer bounded empirical-formula candidates from element composition, report fitting residuals and test a separately supplied molecular mass for an integer multiple.
The particle factor is an assumption
The effective van’t Hoff factor describes the particle-count effect used in the ideal equation. It should not automatically be replaced with a theoretical ion count for every concentration and solvent.
Dissociation, association and nonideal behavior can change the relationship. The calculator exposes the factor as an input rather than claiming to predict it from a chemical formula.
A temperature difference and an absolute temperature differ
The computed shifts are temperature intervals in kelvins. Subtract the freezing depression and add the boiling elevation to the entered pure-solvent Celsius temperatures.
The pure-solvent temperatures and constants must fit the relevant pressure and material. A valid arithmetic result does not show the mixture is dilute enough, soluble, safe or suitable for a practical formulation.
Use the result with the next measurement
The empirical and molecular formula candidate calculator can test a supplied composition and molecular-mass hypothesis. This solution calculation still needs an appropriate actual molar mass and effective particle factor.
Ideal dilute nonvolatile-solute model only. No solubility, precipitation, concentration validity, association, pressure correction or product-safety recommendation. Factor and solvent constants are entered assumptions.
A few questions, answered
Should solvent input include solute mass?
No, use kilograms of solvent only.
Does factor two always apply to a two-ion salt?
No, effective behavior can depart from ideal dissociation.
Are the shifts Celsius or Kelvin?
They are intervals in kelvins, numerically equal to Celsius intervals.