Solutions, Mixtures, and Spectrophotometry

Master molarity, dilutions, Beer-Lambert law, solubility rules, and precipitation reactions for AP Chemistry.

# 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

M=nV=moles of solutelitres of solutionM = \frac{n}{V} = \frac{\text{moles of solute}}{\text{litres of solution}}

Dilution

M1V1=M2V2M_1V_1 = M_2V_2


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

A=εbcA = \varepsilon bc

where:

  • AA = absorbance (no units)
  • ε\varepsilon = molar absorptivity (L mol⁻¹ cm⁻¹)
  • bb = path length (cm)
  • cc = concentration (mol/L)

The relationship is linear — a graph of AA vs cc 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

    1. How many grams of NaCl are needed to make 500 mL of 0.200 M solution?
    1. What volume of 6.0 M HCl is needed to make 250 mL of 0.50 M HCl?
    1. A solution has absorbance 0.45 at path length 1.0 cm with ε = 150 L mol⁻¹ cm⁻¹. Find concentration.
    1. Predict whether a precipitate forms when 0.10 M Pb(NO₃)₂ is mixed with 0.10 M NaI.
    1. How would you separate a mixture of sand, salt, and iron filings?

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Summary

  • M=n/VM = n/V; dilution: M1V1=M2V2M_1V_1 = M_2V_2
  • Solubility rules predict precipitation reactions
  • Beer-Lambert: A=εbcA = \varepsilon bc; linear relationship for calibration
  • Use calibration curves to find unknown concentrations

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