The formula to calculate the Apparent Molar Volume (Vφ) is:
\[ V_φ = \frac{V - \left(\frac{n}{ρ}\right)}{n} \]
Where:
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.
Definition: Molar volume is the volume occupied by one mole of a substance at a given temperature and pressure.
Formula: \( V_m = \frac{V}{n} \)
Example: \( V_m = \frac{22.4}{1} \)
Definition: Molar specific volume is the volume occupied by one mole of a substance.
Formula: \( V_m = \frac{M}{\rho} \)
Example: \( V_m = \frac{18}{0.998} \)
Definition: The standard molar volume is the volume occupied by one mole of an ideal gas at standard temperature and pressure (STP).
Formula: \( V_m = \frac{RT}{P} \)
Example: \( V_m = \frac{0.0821 \times 273}{1} \)
Definition: Partial molar volume is the change in volume of a mixture when an additional amount of a substance is added.
Formula: \( V_i = \left( \frac{\partial V}{\partial n_i} \right)_{T,P,n_j} \)
Example: \( V_i = \left( \frac{\partial (10)}{\partial (2)} \right)_{300K,1atm,3} \)
