# Solutions, Mixtures, and Spectrophotometry
This AP Chemistry topic covers solution preparation, dilutions, the Beer-Lambert law for spectrophotometry, and solubility rules for predicting precipitation.
1. Molarity and Solutions
Dilution
2. Solubility Rules
Soluble: Group 1, NH₄⁺, NO₃⁻, CH₃COO⁻, ClO₄⁻, most halides (except Ag, Pb, Hg), most sulfates (except Ba, Pb, Ca, Sr)
Insoluble: most carbonates, phosphates, sulfides, hydroxides (except Group 1, NH₄⁺, Ba, Ca slightly)
3. Spectrophotometry and Beer-Lambert Law
where:
- = absorbance (no units)
- = molar absorptivity (L mol⁻¹ cm⁻¹)
- = path length (cm)
- = concentration (mol/L)
The relationship is linear — a graph of vs gives a straight line through the origin (calibration curve).
Use the calibration curve to determine unknown concentrations.
4. Separation Techniques
- Filtration: separate solid from liquid
- Distillation: separate liquids by boiling point
- Chromatography: separate dissolved substances
- Centrifugation: separate by density
5. Practice Questions
- How many grams of NaCl are needed to make 500 mL of 0.200 M solution?
- What volume of 6.0 M HCl is needed to make 250 mL of 0.50 M HCl?
- A solution has absorbance 0.45 at path length 1.0 cm with ε = 150 L mol⁻¹ cm⁻¹. Find concentration.
- Predict whether a precipitate forms when 0.10 M Pb(NO₃)₂ is mixed with 0.10 M NaI.
- How would you separate a mixture of sand, salt, and iron filings?
Want to check your answers and get step-by-step solutions?
Summary
- ; dilution:
- Solubility rules predict precipitation reactions
- Beer-Lambert: ; linear relationship for calibration
- Use calibration curves to find unknown concentrations
