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Percent by Mass
is a concentration measure defined as the ratio of the mass of a component (solute) to the total mass of the mixture (solution), multiplied by 100.
Percent by Mass formula
mass of solute/total mass of solution x 100
Mass/Volume Percent
Is a unit of concentration measuring the volume of solute divided by the total volume of the solution, multiplied by 100. It is commonly used for liquid-liquid solutions, such as alcohol in water, expressed as
Mass/Volume Percent Formula
volume of solute/volume of solution x 100
Proof
It is a measure of the content of ethanol (alcohol) in an alcoholic beverage.
Proof formula
Volume of solute/volume of solution % x 2
Parts per million/parts per billion
It is best used to describe the quality of performance or concentration of a substance in a larger mixture. This could be used to describe contents in water, a supplier's defective rate, etc.
Parts per million formula
mass of A in solution/total mass of solution x 10^6 (same for volume)
Parts per billion formula
mass of A in solution/total mass of solution x 10^9 (same for volume)
Mole Fraction
Is the ratio of the number of moles of one component (nA) to the total number of moles in the solution (nA + nB)
Mole fraction formula
XA + nA/nA + nB
Molarity
Is the most common way of expressing the concentration of a solution. It is defined as the number of moles of solute per liter of solution.
Molality
________________ of a solution is the number of moles of solute dissolved per kilogram of solvent.
Dilution
It is the process of reducing the concentration of a solute in a solution by adding more solvent (such as water), without adding more solute. It increases the total volume while lowering the concentration, often calculated using the formula
Dilution formula
M1V1 = M2V2
1. Write the balanced equation (Hint: if ions are involved, writing the net ionic equation will be very helpful!)
2. Start with the given volume
3. Use molarity (mol solute/L solution) to convert volume→moles
4. MOLE RATIO
5. Convert from moles to the desired units using molarity or molar mas
Steps for Stoichiometry
Colligative Properties
Changes in _________________ depend only on the number of solute particles present, not on the identity of the solute particles.
-Vapor pressure lowering
-Boiling point elevation
-Melting point depression
-Osmotic pressure
Common colligative properties
Vapor pressure
Because of solute-solvent intermolecular attraction, higher concentrations of nonvolatile solutes make it harder for solvent to escape to the vapor phase.
Vapor pressure formula
XsolventPsolvent
Boiling point elevation
The change in boiling point is proportional to the molality of the solution. Kb is the molal boiling point elevation constant, a property of the solvent.
Boiling point elevation formula
Kb(m)
Freezing point depression
The change in freezing point can be found similarly. Kf is the molal freezing point depression constant of the solvent.
Freezing point depression formula
Kf(m)
Osmosis
There is net movement of solvent from the area of higher solvent concentration (lower solute concentration) to the are of lower solvent concentration (higher solute concentration).
Osmotic pressure
The pressure required to stop osmosis, if it's the same on both sides of a membrane (i.e., the concentrations are the same), the solutions are isotonic.
Hypertonic
If the solute concentration outside the cell is greater than that inside the cell, the solution is _________
Water will flow out of the cell, and crenation results.
Hypotonic
If the solute concentration outside the cell is less than that inside the cell, the solution is __________. Water will flow into the cell, and hemolysis results.
Osmotic pressure formula
(n/V)RT = MRT