Molarity, Solutions & Dilution Laws
Quantifying chemical concentrations and mixing volumes in laboratory science.
A chemical solution is a homogeneous mixture composed of two or more substances. In such mixtures, a solute is dissolved in another substance, known as a solvent. Measuring the precise concentration of solute particles in a given volume is fundamental to quantitative chemistry.
Whether administering medicines, blending industrial materials, or executing stoichiometric reactions, chemists must calculate concentration levels exactly. The primary standard for concentration is Molarity (M), defined as moles of solute per liter of solution. When preparation requires diluting a stock concentration, the conservation of solute mass governs the relationship.
Key Takeaways
- •Solute + Solvent = Solution. The solvent does the dissolving; the solute is the substance being dissolved.
- •Molarity (M) measures concentration: M = moles of solute / Liters of solution.
- •The Dilution Law (M1*V1 = M2*V2) states that the total number of moles of solute remains constant during dilution.
Core Concepts & Definitions
1Solute and Solvent Dynamics
Solutions can exist in solid, liquid, or gas phases (e.g., brass is a solid solution, air is a gaseous solution). In liquid chemistry, water is considered the "universal solvent" due to its polar nature.
•A saturated solution contains the maximum amount of dissolved solute at a given temperature.
•Solubility measures the maximum mass of solute that can dissolve in a specific mass of solvent.
2Understanding the Mole (Avogadro's Number)
A mole is a fundamental scientific unit measuring the amount of a substance. One mole represents exactly 6.02214076 x 10²³ elementary particles (atoms, molecules, or ions).
•Molar Mass (g/mol) is the mass of one mole of a chemical element or compound.
•Moles = mass (grams) / molar mass (g/mol).
3The Principles of Dilution
Diluting a solution involves adding more solvent without adding more solute. This increases the total volume, thereby reducing the overall concentration of the solute in the mixture.
•Because no solute is added, Moles (Initial) = Moles (Final).
•Since Moles = Molarity * Volume, we arrive at M1 * V1 = M2 * V2.
Equations & Calculation Methods
Molarity Concentration
Molarity (M) equals moles of solute (n) divided by the total volume of the solution in Liters (V).
Conservation of Moles Dilution
Initial molarity (M1) multiplied by initial volume (V1) is equal to final molarity (M2) multiplied by final volume (V2) after adding solvent.
Mass-Percentage Concentration
Calculates the relative mass fraction of solute dissolved in the final mixture, expressed as a percent.