CHM 103 Sinex The process of light being absorbed by a solution concentration 2 concentration 1 blank where Io = I Spectrophotometry: light source An Analytical Tool detector Io I b PGCC CHM 103 Sinex Cell with Pathlength, b, containing solution Some terminology Beer’s Law ØI – intensity where Io is initial intensity A = abc ØT – transmission or %T = 100 x T (absorption: Abs = 1 – T or %Abs = 100 - %T) T = I/ Io with sample I < Io As concentration increased, less light was transmitted (more light absorbed). where a – molar absorptivity, b – pathlength, and c – molar concentration See the Beer’s Law Simulator ØA – absorbance A = - log T = -log I/ Io PGCC CHM 103 Sinex PGCC CHM 103 Sinex Analyze at what wavelength? Scan visible wavelengths from 400 – 650 nm (detector range) to produce an absorption spectrum (A vs. λ) Crystal Violet Absorption Spectrum 1.4 Absorbance 1.2 1 0.8 0.6 λmax 0.4 0.2 0 200 250 300 350 400 450 500 wavelength, nm 550 600 650 phototube detector range 700 750 λmax - wavelength where maximum absorbance occurs PGCC CHM 103 Sinex The BLANK üThe blank contains all substances expect the analyte. üIs used to set the absorbance to zero: Ablank = 0 üThis removes any absorption of light due to these substances and the cell. üAll measured absorbance is due to analyte. PGCC CHM 103 Sinex 1 CHM 103 Sinex What does the absorbed light (electromagnetic radiation) do to the molecule? The components of a Spec-20D Light source - white light of constant intensity IR slits filter Separates white light into various colors slits Sample When blank is the sample Io is determined PGCC CHM 103 otherwise Sinex I is measured Rotating the grating changes the wavelength going through the sample Ø low energy UV and visible – promotes electrons to higher energy orbitals (absorption of visible light leads to a colored solution) Ø IR – causes molecules to vibrate (more later) PGCC CHM 103 Sinex Uses of visible spectrophotometry UV/visible light absorption Valence electrons Ø In organic molecules, electronic transitions to higher energy molecular orbitals – double bonds: π à π* Ø In transition metals, hydrated ions as Cu++ have splitting of d orbital energies and electronic transitions – weak absorption Ø In complexed transition metals, charge transfer of electrons from metal to ligand as Cu(NH3)4++ – strong absorption PGCC CHM 103 Sinex ü Analysis of unknowns using Beer’s Law calibration curve (Been there, done that!) ü Absorbance vs. time graphs for kinetics ü Single-point calibration for an equilibrium constant determination ü Spectrophotometric titrations – a way to follow a reaction if at least one substance is colored – sudden or sharp change in absorbance at equivalence point, a piece-wise function PGCC CHM 103 Sinex CV+ + OHà CV-OH purple colorless colorless Kinetics of Crystal Violet Reaction This is tracking reaction progress over time. colorless colorless Follow concentration of crystal violet over time as it reacts by measuring its absorbance. Since the absorbance is related to concentration, rate or ∆A/∆time is the slope of a regression line. absorbance CV+ + OH- à CV-OH purple UV 400 nm Ø high energy UV – ionizes electrons occluder Grating Phototube detects light & measures intensity visible Energy increasing 700 nm How will absorbance change with time? For a absorbance vs. time plot, how will you determine the rate of the reaction? PGCC CHM 103 Sinex Chime structures Short run times to get initial rates. time PGCC CHM 103 Sinex STELLA model 2 CHM 103 Sinex Single-point calibration Equilibrium Constant Determination Fe+3 • Standard with measured absorbance Astd = abcstd • Unknown with measured absorbance Aunk = abcunk colorless Fe(SCN)++ + SCN- = Fe(SCN)2+ We start with a high concentration of Fe+3 and lower its value by dilution. PGCC CHM 103 Sinex When calibration curves go bad! • The linear Beer’s Law relationship starts to show curvature at high concentrations Absorbance Calibration Curve 0.8 Non-linear linear curved 0.4 0.2 Linear (linear) 0 0 0.2 0.4 0.6 concentration 0.8 1 • Single-point calibration assumes a linear calibration curve PGCC CHM 103 Sinex absorbance 5H2O 2 orange Using the reactants, shift reaction based on Le Chatelier’s principle. PGCC CHM 103 Sinex 1 colorless K = (Fe(SCN)++)/(Fe+3 )(SCN-) Ratio the two equations Aunk/ Astd = abcunk /abcstd Aunk/ Astd = cunk /cstd • Solve for cunk 0.6 + SCN- = Fe(SCN)++ Interactive Excel spreadsheet Spectrophotometric titration • Let’s consider the analysis of hydrogen peroxide with potassium permanganate in an acidic solution. • The potassium permanganate or MnO 4is the only colored substance in the reaction. (It can serve as its own indicator.) • How would the absorbance change as titrant was added? PGCC CHM 103 Sinex + 2MnO 4- + 6H+ purple à 5O 2 (g) + 2Mn+2 + 8H2O Notice you do not need to have a data point at the equivalence point. Equivalence point located by extrapolation of the two lines. Equivalence point MnO 4- reacting, color disappears PGCC CHM 103 Sinex xs MnO 4accumulates Volume of titrant (mL KMnO 4 ) 3