Solution Concentration and Dilution

Molarity (M) is the number of moles of solute per liter of solution, expressed in mol/L. To calculate molarity, divide the moles of solute by the total volume of solution in liters. For example, dissolving 1 mole of solute in a volumetric flask and filling to the 1-liter mark creates a 1-molar solution. The key is using the total solution volume, not just the solvent volume, since solutes can affect the overall volume.

The total solution volume is used because solutes can change the volume of a solution depending on their interactions with the solvent. Using solvent volume alone would give an inaccurate concentration. The molarity equation accounts for this by including the combined volume of both solute and solvent, ensuring precise concentration measurements for chemical reactions in aqueous solutions.

To prepare a solution of specific molarity, add the calculated moles of solute to a volumetric flask, then add solvent until the liquid reaches the marked line for your desired volume. For instance, to make 1 liter of a 1-molar solution, add 1 mole of solute and fill to the 1-liter mark. This ensures the total solution volume equals your target volume and produces the correct concentration.

The number of moles of solute remains constant during dilution. When solvent is added to a concentrated solution, the total volume increases but the amount of solute stays the same, causing the concentration to decrease. This principle is expressed mathematically as M1V1 = M2V2, where the product of molarity and volume equals moles before and after dilution.

The dilution equation M1V1 = M2V2 relates the molarity and volume of a stock solution to the desired dilute solution. Identify the known values: M1 and V1 from the stock solution, M2 and V2 from your target solution. Solve for the unknown variable, typically V1, to determine how much stock solution to transfer to a new flask, then add solvent to reach the final volume.

A dilute solution has a small proportion of solute relative to solvent, resulting in low concentration. A concentrated solution has a large proportion of solute relative to solvent, resulting in high concentration. Concentrated solutions, called stock solutions, are often stored in laboratories and diluted as needed to create solutions of lower concentrations for specific applications.

Yes, molarity serves as a conversion factor between moles of solute and solution volume. First convert mass to moles using molar mass, then use molarity to find volume by dividing moles by molarity. For example, 237 grams of potassium permanganate converted to moles, then divided by 3 M, yields 0.5 liters of solution. This allows precise preparation of solutions with known concentrations.