Apparent Molar Volume Calculator

Formula

The formula to calculate the Apparent Molar Volume (Vφ) is:

\[ V_φ = \frac{V - \left(\frac{n}{ρ}\right)}{n} \]

Where:

Vφ – The apparent molar volume in liters per mole (L/mol).
V – The volume of the solution in liters (L).
n – The number of moles of solute.
ρ – The density of the solution in kilograms per liter (kg/L).

Definition

Apparent Molar Volume (Vφ): A measure of the partial molar volume of a solute in a solution.
Volume of the Solution (V): The total volume of the solution.
Number of Moles of Solute (n): The amount of solute in moles.
Density of the Solution (ρ): The mass per unit volume of the solution.

Example

Let's say the volume of the solution (V) is 1 liter, the number of moles of solute (n) is 0.5 moles, and the density of the solution (ρ) is 1 kg/L. Using the formula:

\[ V_φ = \frac{1 - \left(\frac{0.5}{1}\right)}{0.5} = \frac{1 - 0.5}{0.5} = 1 \, \text{L/mol} \]

So, the apparent molar volume is 1 L/mol.