How is the total volume of a mixture calculated according to the flashcards?

The total volume of a mixture is calculated using the formula that considers the number of moles of each component and their individual partial volumes. The equation provided in the answer expresses this concept clearly by summing the contributions from each component in the mixture.

In this formula, ( n_A ) and ( n_B ) represent the number of moles of each component (A and B), while ( V_A ) and ( V_B ) represent the volumes occupied by one mole of each respective component in the mixture. Thus, ( n_AV_A ) gives the total volume contribution from component A, and ( n_BV_B ) does the same for component B. When these two contributions are added together, they provide the total volume of the mixture.

This approach aligns with the principles of additive volumes in ideal mixtures, where the volume is essentially the sum of the volumes occupied by each component, assuming there are no significant interactions that affect the total volume. This is particularly useful in thermochemistry and physical chemistry for understanding mixing behavior and calculating phase volumes in multi-component systems.