Chemistry Lab 2010 Presenter: John R Kiser, MS Hickory Regional Director State Supervisor, Chemistry Lab Introductions • • • • Topics for 2010: Solutions and Redox Regional vs State Topics Safety Requirements – Long Sleeve Shirt! Must bring calculator! Need to know topics • Formula Writing/Nomenclature • Mole & Stoichiometry Calculations Solution Terminology • Solution: Homogeneous mixture • Solvent: Component in greater/greatest amount • Solute: Component(s) in lesser/least amount Factors that influence solubility • Polarity of Solute and Solvent – “Like Dissolves Like” Polar solutes dissolve in polar solvents Nonpolar solutes dissolve in nonpolar solvents Nonpolar solutes do not dissolve well in polar solvents • Temperature Solubility of most solids in water increases with temperature Solubility of gases in water decreases with temperature • Gas Pressure As the pressure of a gas above a solution increases, the solubility of the gas in the solution increases. (Henry’s Law) Sweet Tea and Soft Drinks Amounts of Solute in Solution • Saturated: The maximum amount of solute is dissolved in the solvent • Unsaturated: Less than maximum amount of solute is dissolved in the solvent • Supersaturated: More than the maximum amount of solute is dissolved in solvent • To obtain a supersaturated solution, you heat solution until all solute dissolves. Carefully and slowly cooling the solution keeps all the solute dissolved in solvent. • Solubility curves show maximum amount of solute that can be dissolved in 100 mL (sometimes 100 g) of water at a particular temperature. Above curve = supersaturated, Below curve = unsaturated Saturation • Pay attention to units of solubility on Y axis! • Suppose a saturated solution of sodium nitrate is prepared at 60 oC in 200 mL of water. The solution is quickly cooled to 20 oC. What mass of sodium nitrates crystallizes during cooling? Units of Concentration Moles of solute Molarity (M) = Liters of solution Mass of component Mass Percent = Total mass of solution Moles of solute Molality (m) = Mass of solvent (kg) Copyright © 2010 Pearson Prentice Hall, Inc. x 100% Units of Concentration Assuming that seawater is an aqueous solution of NaCl, what is its molarity? The density of seawater is 1.025 g/mL at 20 °C, and the NaCl concentration is 3.50 mass %. 3.50 mass % = 3.50 grams of salt in 100.00 grams of solution Assuming 100.00 g of solution, calculate the volume: 1 mL solution 100.00 g solution x 1.025 g solution 1 L solution x = 0.09756 L solution 1000 mL solution Convert the mass of NaCl to moles: 3.50 g NaCl x 1 mole NaCl = 0.0599 moles NaCl 58.4 g NaCl Then, calculate the molarity: 0.0599 moles NaCl = 0.614 M NaCl 0.09756 L solution Units of Concentration In the previous example, what was the MOLALITY (m) of sodium chloride in seawater? Assume seawater contains only sodium chloride and water. Calculate the mass of water (solvent) in kg: 100.00 g solution – 3.50 grams NaCl (solute) = 96.50 grams water (solvent) = 0.09650 kg Convert the mass of NaCl (solute) to moles: 3.50 g NaCl x 1 mole NaCl = 0.0599 moles NaCl 58.4 g Then, calculate the molality: 0.0599 moles NaCl = 0.621 m NaCl 0.09650 kg Solvent Concentrations - ppm Mass of component Parts per million (ppm)= (Mass based) Total mass of solution x 106 50 ppm means a solution contains 50 grams of solute in 106 grams of solution (50 mg in 1 kg solution) In dilute aqueous solutions at 25 oC, ppm is also equivalent to mg solute in 1 L solution Solving For Unknown Concentration: Titrations (Volumetric Analysis) In a titration a solution of accurately known concentration is added gradually added to another solution of unknown concentration until the chemical reaction between the two solutions is complete. Indicator – substance that changes color at (or near) the equivalence point Equivalence point – the point at which the reaction is complete Sometimes called stoichiometric point Endpoint – The point at which the indicator changes color Slowly add reactants UNTIL the indicator changes color 4.7 Steps for Solving Titration Problems Be sure you have the correct balanced equation before beginning! STEP 1 Determine moles of starting compound STEP 2: Determine moles of desired compound STEP 3: Solve the problem Example Problem: Titration of Citric Acid in Fruit Juice State Level Question, 2010, commonly missed at many regionals! 3 NaOH (aq) + H3C6H5O7 (aq) → 3 H2O (l) + Na3C6H5O7 (aq) Solving for Unknown Concentration: Lambert-Beer • Lambert-Beer Law: A = εbc A = Absorbance (unitless) b = path length (cm) c = concentration (M) ε = Molar absorbtivity (constant, units M-1 cm-1) Lambert-Beer or Beer’s Law Plot: Provided all absorbance measurements are made on the same spectrophotometer with the same cell, a graph of absorbance vs. concentration will be linear. Lab activity at State in 2010! Commonly missed: Incorrect graphing, use of SpectroVis, and “connecting the dots” on the graph. Solving for Unknown Concentration: Density • Density of solution increases as solute concentration increases. • The plot of density of solution versus concentration of solution should be linear. • Can be used to solve for an unknown concentration. Using Concentrations to Find Molar Mass: FP Depression • Adding a solute to a solvent decreases the freezing point ∆Tf = kf*m ∆Tf = decrease in freezing point kf = Freezing point constant (1.86 oC m-1 for water) m = molality (mole solute per kg solvent) Assumes ideal behavior and that solute is NOT ionic. How to use to find molar mass of solute: • Use ∆Tf and kf to find molality of solution • Use mass of solvent to find moles solute present • Mass solute dissolved divided by moles solute gives the molar mass of solute! Freezing Point Depression Example When 2.50 grams of a covalent compound is dissolved in 0.100 kg of water, the freezing point is determined to be -0.750 ⁰C. What is the molar mass of the compound? (Assume Ideal Behavior) Molality = ∆Tf = 0.750 ⁰C = 0.403 m Kf 1.86 ⁰C m-1 0.100 kg water * 0.403 moles solute = 0.0403 moles solute 1.000 kg water Molar mass= 2.50 grams solute = 62.0 grams per mole 0.0403 moles solute Oxidation Reduction (Redox) Fundamental Concepts • Oxidation is Loss of electrons, gain of O, loss of H • Reduction is Gain of electrons, loss of O, gain of H Mnemonic Devices: LEO the lion goes GER! OIL RIG The species being reduced is the oxidizing agent The species being oxidized is the reducing agent Activity Series of Elements • Usually lists the best reducing agent (most easily oxidized) at top. • Metal above reacts with ion below. • Sample lab activity: The metal that reacts with everything else goes at the top; the ion that reacts with everything goes (as element, not ion) at bottom • Aluminum Demonstration Determining if a species is oxidized or reduced: Oxidation Numbers Rules above take precedence over rules below! • An atom in its elemental state has an oxidation number of 0. Oxidation number of H in H2 = 0 • An atom in a monatomic ion has an oxidation number identical to its charge. Oxidation number of Fe3+ = +3 • The total sum of oxidation numbers in a polyatomic ion is equal to the charge. Sum of oxidation numbers in a neutral molecule is 0. Pay attention to subscripts! • In a compound or polyatomic ion: 1A metal, ox #= +1; 2A metal, ox # = +2; 3A Metal, Ox # = +3 H, ox # = -1 if bonded to metal or Boron; H, ox # = +1 if bonded to another nonmetal Oxygen, ox# = -2 (EXCEPT IN PEROXIDES, -1) Fluorine, ox # = -1. Other halogens (if written to right in formula), ox # = -1 • Other atoms not on this list can be deduced by following the rules above Finding oxidation number of Cl in ClO4 – Oxidation number of O = -2 Cl + 4*-2 = -1 Cl – 8 = -1 Cl = +7 If oxidation number increases, oxidation is taking place If oxidation number decreases, reduction is taking place Redox Half Reactions In many complex redox reactions, H+ (or OH-) and H2O are involved in the reaction and may not be obvious at first. Therefore, there is a systematic method to balancing complex redox reactions. First, separate into two half reactions, one for oxidation, one for reduction. Total Reaction: Cl- + Cr2O72- → Cl2 + Cr3+ Half Reactions: Cl- → Cl2 and Cr2O72- → Cr3+ Balancing Half Reactions • • • • • Using Coefficients, balance all atoms BUT H and O: Cr2O72- →2 Cr3+ Balance O by adding H2O Cr2O72- → Cr3+ + 7 H2O Balance H by adding H+ 14 H+ + Cr2O72- → 2 Cr3+ + 7 H2O Balance charge by adding e- 14 H+ + Cr2O72- + 6e- →2Cr3+ + 4 H2O Number of electrons should correspond to change in oxidation number (keeping number of atoms in mind too!) • No electrons in final answer, so multiply one (or both) half reaction(s) by a number so that electrons are equal. 2 Cl- → Cl2 + 2 e2 Cl- → Cl2 + 2 ebecomes 6 Cl- → 3 Cl2 + 6 e- Adding Half Reactions Together 6 Cl→ 14 H+ + Cr2O72- + 6e- → 3 Cl2 + 6 e2Cr3+ + 7 H2O Be sure to cancel out electrons, water, and H+ that appears on both sides 6 Cl- + 14 H+ + Cr2O72- → 3 Cl2 + 2 Cr3+ + 7 H2O Be sure to double check charges and numbers of atoms! Electrons should not be left over! If you are balancing a half-reaction in basic solution, add OH- to both sides, convert H+ to H2O, and cancel out! Example Problem Balance the following half reaction in basic solution: Oxidation or reduction? OCl - → Cl- Galvanic Cells What happens when a redox reaction is spread out over 2 beakers? Oxidation at anode (-), reduction at cathode (+) Electrons flow from anode to cathode Standard Reduction Potential (Eored) Eocell =Eo cathode – Eoanode Positive Eocell means the reaction is spontaneous More positive Eo means a more favored reaction O Standard Conditions, 298 K, 1 atm, 1 M solutions All these values are measured with respect to 2H+/H2 (These Eo values are technically Eoreduction. Eooxidation can also be written for reverse reactions) Shorthand Notation for Galvanic Cells Anode half-reaction: Cathode half-reaction: Overall cell reaction: Zn2+(aq) + 2e- Zn(s) Cu2+(aq) + 2e- Cu(s) Zn(s) + Cu2+(aq) Zn2+(aq) + Cu(s) Salt bridge Anode half-cell Cathode half-cell Zn(s) | Zn2+(aq) || Cu2+(aq) | Cu(s) Electron flow Phase boundary Copyright © 2010 Pearson Prentice Hall, Inc. Phase boundary Example Problem • For the following Galvantic cell, determine the cathode, anode, and Eocell Ni (s) | Ni 2+ (aq) || Cu2+(aq) | Cu(s) The Effect of Concentration on Cell E What happens when conditions are not standard? Nernst Equation: E = E° - RT ln Q nF or E = E° - 2.303RT log Q nF or E = E° - 0.0592 V log Q in volts, at 25°C n Q = Reaction Quotient (from Equilibrium topics) Setup is just like an equilibrium constant, except the system is not at equilibrium. Products on top, reactants on bottom. Coefficients become exponents. Solutions in M, gases in atm, pure liquids and solids omitted. Consider a galvanic cell that uses the reaction: Cu(s) + 2Fe3+(aq) Cu2+(aq) + 2Fe2+(aq) What is the potential of a cell at 25 °C that has the following ion concentrations? [Fe3+] = 1.0 x 10-4 M [Cu2+] = 0.25 M [Fe2+] = 0.20 M Batteries Lead Storage Battery Anode: Pb(s) + HSO4-(aq) Cathode: PbO2(s) + 3H+(aq) + HSO4-(aq) + 2e- Overall: Pb(s) + PbO2(s) + 2H+(aq) + 2HSO4-(aq) Copyright © 2010 Pearson Prentice Hall, Chapter 17/33 PbSO4(s) + H+(aq) + 2e- PbSO4(s) + 2H2O(l) 2PbSO4(s) + 2H2O(l) Batteries Dry-Cell Batteries Leclanché cell Copyright © 2010 Pearson Prentice Hall, Chapter 17/34 Fuel Cells Hydrogen-Oxygen Fuel Cell Electrolysis and Electrolytic Cells Electrolysis: The process of using an electric current to bring about chemical change. Electrolysis of Molten Sodium Chloride Anode: 2Cl-(l) Cathode: Overall: Copyright © 2010 Pearson Prentice Hall, Inc. 2Na+(l) + 2e2Na+(l) + 2Cl-(l) Cl2(g) + 2e- 2Na(l) 2Na(l) + Cl2(g) Electrolysis and Electrolytic Cells Cathode has negative charge, connected to negative terminal on battery; anode has positive charge, connected to positive terminal. Reduction still at cathode, Oxidation still at anode Electrolysis of Molten Sodium Chloride Electrolysis and Electrolytic Cells Electrolysis of Water Anode: 2H2O(l) O2(g) + 4H+(aq) + 4e- Cathode: 4H2O(l) + 4e- 2H2(g) + 4OH-(aq) Overall: 2H2(g) + O2(g) + 4H+ + 4OH-(aq) 6H2O(l) Electrolysis of Aqueous Solutions Electrolysis of NaI • Consider reduction of water and reduction of cation Na+ (aq) + e- → Na (s) Eored = - 2.71 V 2 H2O (l) + 2e- → H2 (g) + 2 OH- (aq) Eored = - 0.83 V Less negative (or more positive) reduction is preferred! • Consider oxidation of water and oxidation of anion 2 H2O (l) → O2 (g) + 4 H+ (aq) + 4 e- Eo ox = -1.23 V 2 I- (aq) → I2 (s) + 2 eEoox = -0.54 V Less negative (more positive) oxidation preferred! (Note: reversing from Eored table. If reading directly from table, without reversing oxidation, look for more negative Eo red) • Overvoltage makes predictions difficult if both competing reactions have similar Eo values. • In electrolysis of aqueous NaCl, even though oxidation of water is less negative, Cl – is oxidized to Cl2 gas. • Poorly understood, mainly due to kinetic factors and concentration effects. • Prediction is difficult if values are close on table. • Rules of Thumb for electrolysis of solutions Look on left side of SRP table. If cation is higher than water, cation will be reduced. Look to right side of SRP table. If anion is below water, anion will be reduced Quantitative Aspects of Electrolysis Charge(C) = Current(A) x Time(s) 1 mol eMoles of e- = Charge(A) x 96,500 C Faraday constant Example Problem How much Ca will be produced in an electrolytic cell of molten CaCl2 if a current of 0.452 A is passed through the cell for 1.5 hours? 19.8 Lab Time! • Lab #1 – Beer’s Law • Lab #2 – Redox Titration • Lab #3 – Setup of a Galvanic cell and determining EO cell and Eo for a half reaction Thank you! Please email me at jkiser@wpcc.edu For follow-up questions, concerns, etc..