AP Chemistry

Unit 3

Properties of Substances and Mixtures

13 topics · 47 practice questions · Free response

Notes

Intermolecular forces (IMFs)

ForceFound inStrength
London dispersionAll molecules; bigger, more polarizable electron clouds have stronger LDFsWeakest per interaction, but can add up
Dipole-dipolePolar moleculesMedium
Hydrogen bondingH bonded to N, O or F, attracted to another N, O or FStrongest IMF
Ion-dipoleIons dissolved in polar solventsStrong
  • Stronger IMFs mean higher boiling points, lower vapor pressure, and higher surface tension.
  • Types of solids: ionic, molecular, metallic, and covalent network (diamond, $\mathrm{SiO_2}$), which has very high melting points.

Gases

  • Ideal gas law: $PV = nRT$. Use kelvin for temperature.
  • Dalton's law: total pressure is the sum of partial pressures. $P_A = X_A P_{total}$, where $X_A$ is the mole fraction.
  • Kinetic molecular theory: average kinetic energy depends only on temperature. At the same temperature, lighter molecules move faster.
  • Real gases deviate from ideal at high pressure (molecules take up space) and low temperature (attractions matter).

Solutions and separation

  • Molarity $\displaystyle M = \frac{\text{mol solute}}{\text{L solution}}$. Dilution: $M_1V_1 = M_2V_2$.
  • "Like dissolves like": polar dissolves polar; nonpolar dissolves nonpolar.
  • Chromatography separates by different attractions to the stationary and mobile phases; distillation separates by boiling point.

Light and matter (spectroscopy)

  • $E = h\nu$ and $c = \lambda\nu$. Microwave radiation changes rotation, infrared changes vibration, and UV/visible changes electron energy levels.
  • Beer–Lambert law: $A = \varepsilon bc$. Absorbance is proportional to concentration, which lets you find an unknown concentration from a calibration line.

Topics in this unit

Each topic has its own short notes and practice.

Practice

Which has the highest boiling point?
Why does $\mathrm{I_2}$ have a higher boiling point than $\mathrm{F_2}$?
What volume does 2.00 mol of an ideal gas occupy at 1.00 atm and 273 K? ($R = 0.0821$ L·atm/mol·K)
A gas mixture is 0.25 mole fraction $\mathrm{O_2}$ at a total pressure of 4.0 atm. What is the partial pressure of $\mathrm{O_2}$?
Real gases deviate most from ideal behavior at:
How much water must be added to dilute 50.0 mL of 2.0 M HCl to 0.50 M?
A solution has absorbance 0.40 and a standard of 0.20 M has absorbance 0.80 in the same cuvette. The unknown's concentration is:
Which kind of solid is diamond?

Free response

Write your answer first, then open the scoring guide.

Free-response question

Ethanol ($\mathrm{C_2H_5OH}$) and dimethyl ether ($\mathrm{CH_3OCH_3}$) have the same molar mass.

(a) Which has the higher boiling point? Explain using intermolecular forces.

Show the answer and scoring guide

Ethanol. It has an O–H bond, so it forms hydrogen bonds between molecules. Dimethyl ether has no H on its oxygen, so it has only dipole-dipole and dispersion forces, which are weaker.

Check off the points you earned:

(b) A 0.500 mol sample of ethanol vapor is in a 10.0 L flask at 400. K. Calculate its pressure.

Show the answer and scoring guide

$\displaystyle P = \frac{nRT}{V} = \frac{0.500(0.0821)(400.)}{10.0} = 1.64$ atm.

Check off the points you earned:

(c) Would the measured pressure likely be higher or lower than the ideal value? Explain.

Show the answer and scoring guide

Lower. Attractions between ethanol molecules (hydrogen bonds) pull molecules toward each other, so they hit the walls with less force than an ideal gas would.

Check off the points you earned: