How to Calculate Van’t Hoff Factor?

Determine the number of particles produced by one formula unit of solute in solution

Use the formula i = actual number of particles in solution / number of formula units dissolved

For nonelectrolytes, i = 1

For strong electrolytes, i equals the total ions formed per formula unit

For weak electrolytes, i is less than the theoretical value because of incomplete dissociation

For association, i is less than 1

For dissociation, i is greater than 1

If using colligative properties, calculate i from:

i = observed colligative property / calculated colligative property assuming no dissociation or association

For boiling point elevation, i = ΔTb(observed) / ΔTb(calculated)

For freezing point depression, i = ΔTf(observed) / ΔTf(calculated)

For osmotic pressure, i = π(observed) / π(calculated)

For relative lowering of vapor pressure, i = observed value / calculated value

For electrolytes with degree of dissociation α, use i = 1 + α(n – 1)

In the formula, n = number of ions formed per formula unit on complete dissociation

For association with degree of association α and m molecules associating, use i = 1 – α(m – 1)

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