Formula Sheet: The Amazing World of Solutes, Solvents, and Solutions

Density (ρ) measures how much mass (m, in grams) is contained in a given volume (V, in cm³). This formula helps determine whether an object will float or sink in a fluid based on its density relative to that of the fluid.

Concentration (C) describes the amount of solute in a solution. It is expressed in g/L or mol/L. This formula aids in understanding how strong or weak a solution is.

Solubility defines the capacity of a solvent to dissolve a solute at a specific temperature. It informs how much solute can be dissolved in a solvent before saturation occurs.

This formula indicates the reduction in vapor pressure (ΔP) of a solvent when a non-volatile solute is added. P° is the vapor pressure of the pure solvent, and P is the vapor pressure of the solution.

This law states that the vapor pressure (P) of a solvent in a solution is equal to the mole fraction (X) of the solvent multiplied by its pure vapor pressure (P°). It helps predict how vapor pressures change in solutions.

Molarity is a commonly used concentration unit representing the number of moles of solute (n, in mol) per liter of solution (V, in L). Useful for solution preparation and dilution calculations.

This equation states that the concentration (C) and volume (V) of the stock solution (1) equals the concentration and volume of the diluted solution (2). It assists in calculating dilutions in experiments.

ΔTf is the decrease in freezing point, Kf is the freezing point depression constant, and m is the molality of the solution. This relates to how solutes affect the freezing point of solvents.

ΔTb represents the increase in boiling point, Kb is the boiling point elevation constant, and m is the molality. It shows how the presence of solute raises the boiling temperature of a solvent.

In this law, C denotes the concentration of a gas in a liquid, kH is Henry’s law constant, and P is the partial pressure of the gas. This describes gas solubility in liquids.

V represents voltage (in volts), I is current (in amperes), and R is resistance (in ohms). This principle is relevant in understanding electric implications in solutions.

This equation calculates mass by multiplying the volume of a substance by its density. It is essential when dealing with substances in mixtures and solutions.

This defines the number of moles (n, in mol) as the mass of a substance (m, in g) divided by its molar mass (M, in g/mol). Useful in stoichiometric calculations.

This equation determines the percentage concentration, indicating how much of the solution's total mass is comprised of the solute.

Volume (V, in cm³) of a rectangular solid can be found by multiplying length (l, cm), width (w, cm), and height (h, cm). This is useful for calculating volumes of solutes in mixed solutions.

This fundamental equation describes the pressure exerted by a gas when confined in a liquid. It connects with the behavior of gases in solutions.

Force (F) is the product of mass (m, in kg) and acceleration (a, in m/s²). Understanding it is essential in studying interactions in solutions under various forces.

This defines a dilute solution indicating its weaker concentration relative to other solutions.

This describes a concentrated solution, indicating a higher concentration of solute.

In mixing solutions, this equation helps maintain concentration and volume records to yield a specific final concentration.