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Group 4: SolubilityBlock ACarolina ZarateJason WangMichael Yeh
TitleIntroduction	The Problem	Basic Research	Balanced Equation	Previous Experiments	Why?	HypothesisStella Model	The Solvation Process	Deriving the Equation	The Dynamic Model	Evaluating the ModelProcedure	Materials	MethodsData Analysis	Data	PHS Block A Boxplots	Overall Boxplots	Graph ComparisonAnalysisProblems Encountered	ConclusionSourcesIntroduction
IntroductionThe ProblemGeneral Question:What is the effect of temperature on 	solubility of salts?Tested Question:What is the effect of temperature on the 	solubility of potassium nitrate at 	temperatures of 0oC, 25oC, and 60oC?
IntroductionBasic ResearchBasic facts about Potassium nitrate, or KNO3Potassium nitrate canbe dissolved in waterIt is an orthorhombic crystal.Its melting pointis 334oCIts boiling pointis 400oC
IntroductionBalanced EquationThe equation for our experiment:KNO3(s) + H2O(l) ->K+(aq) + NO3-(aq) + H2O(l)The net ionic equation simplifies to:KNO3 (s) ->K+ (aq) + NO3- (aq)
IntroductionPrevious ExperimentsOur research found sources created by other scientists working in this field:Empirical data found in other researchers’ previous experimentsThe data showed an exponential increase in solubility with temperature
IntroductionWhy?Real-world applications of the results gathered from our experiment include:Solutions in cooking and food
Solutions found in living organisms
Industry, such as ore processingIntroduction HypothesisThe solubility of potassium nitrate is expected to increase exponentially as temperature increases.Other solids soluble in water follow similar trends
A dynamic model in was created in Stella and used to predict the solubility at each temperatureTitleIntroduction	The Problem	Basic Research	Balanced Equation	Previous Experiments	Why?	HypothesisStella Model	The Solvation Process	Deriving the Equation	The Dynamic Model	Evaluating the ModelProcedure	Materials	MethodsData Analysis	Data	PHS Block A Boxplots	Overall Boxplots	Graph ComparisonAnalysisProblems Encountered	ConclusionSourcesStella Model
Stella ModelThe Solvation ProcessWhen KNO3 and H2O form a solution, the KNO3 dissociates into K+ and NO3- ions.
At equilibrium, a pair of ions will recombine for each pair that disassociates
The solubility product constant for our solution isKsp= [K+][NO3-]NO3-NO3-NO3-NO3-NO3-NO3-K+K+K+K+K+K+Dissolving potassium nitrate
Stella ModelDeriving the EquationGibbs-Helmholtz Equation: G = H - T * SRelationship between Ksp and G:G = -R * T * ln(Ksp)H - T * S = -R * T * ln(Ksp)ln(Ksp) = (H - T * S) / (-R * T)Ksp = e(S / R -H / (R * T))H: Enthalpy changeS: Entropy changeG: Free energy changeT: Temperature (Kelvin)R = 8.314 J/(mol*K)
Stella ModelDeriving the EquationKsp= [K+][NO3-] = x2x2  = eS / R - H / (R * T)x = Sqrt(eS / R - H / (R * T))ICE box: x is the solubility
Stella ModelThe Dynamic ModelThe values for S and H were found in The CRC Handbook of Physics and Chemistry
Stella ModelThe Dynamic ModelPredictions:0°C:13 g KNO3per 100 mL H2O.25°C: 37.5 g KNO3 per 100 mL H2O.60°C: 71.73 g KNO3 per 100 mL H2O.
Stella ModelEvaluating the ModelReasons for the linear solubility curve:Only one changing variable, T
More accurate at lower temperatures
To fix this, it would have been necessary to find the change in temperatureTitleIntroduction	The Problem	Basic Research	Balanced Equation	Previous Experiments	Why?	HypothesisStella Model	The Solvation Process	Deriving the Equation	The Dynamic Model	Evaluating the ModelProcedure	Materials	MethodsData Analysis	Data	PHS Block A Boxplots	Overall Boxplots	Graph ComparisonAnalysis	Problems Encountered	ConclusionSourcesProcedure
ProcedureMaterials1 PASCO Explorer GLX (#4)1 GLX Temp Probe (Stainless Steel Chemical Resistant)20 Weighing Boats1 Analytical Scale1 Glass Funnel1 1000 mL Beaker1 10 mL Graduated Cylinder1 Vacuum Flask4 50 mL Erlenmeyer Flasks1 Hot Plate1 Mixer (Separate from hot plate)10 mL Tap Water (H2O) per Trial6 g KNO3 per TrialIce: enough to fill a 1000 mL Beaker1 Plastic Pipette15 Filter Papers1 Small Magnetic Stirrer Pill1 Magnet to take out the Pill
ProcedureMethodsMeasure 10 mL of tap water and pour into Erlenmeyer flask.Put Erlenmeyer flask onto a hot plate and heat to 60oC. (Use GLX to measure temperature)
ProcedureMethodsMeasure 6 g of potassium nitrate in a weighing boat on an analytical scaleRemove the Erlenmeyer flask from the hot platePour the potassium nitrate and the magnetic stirrer into the Erlenmeyer flask
ProcedureMethodsPay attention to the temperature as the KNO3 dissolves.Allow the magnetic stirrer to run for 2-5 minutesRemove the magnetic stirrer and temperature probe
ProcedureMethodsPlace a filter paper into the funnel, and insert into the vacuum flaskPour the contents of the Erlenmeyer flask through the filter paperRemove the filter paper and place on the table to dry.
ProcedureMethodsPlace an unused filter paper on the analytical scale and zero itPlace the dry paper with the potassium nitrate on the scale to weigh the undissolved soluteSubtract the weight from 6 g
ProcedureMethodsRepeat this process 4 more timesRepeat 1-15, but heat water to 25oC insteadRepeat 1-15, but use an ice bath to cool water to 0oCDrying KNO3Ice Bath
TitleIntroduction	The Problem	Basic Research	Balanced Equation	Previous Experiments	Why?	HypothesisStella Model	The Solvation Process	Deriving the Equation	The Dynamic Model	Evaluating the ModelProcedure	Materials	MethodsData Analysis	Data	PHS Block A BoxplotsOverall Boxplots	Graph ComparisonAnalysis	Problems Encountered	ConclusionSourcesData & Analysis
Data & AnalysisDataWe did 15 trials, 5 trials at each temperature
We used 10 mL of water and 6 g of KNO3 per trial, but we scaled our results up to 100 mL and 60 gData & AnalysisData
Data & AnalysisPHS Block A Boxplots0°CMedian: 15.8Minimum: 13.8Maximum: 19.4Interquartile Range: 3.2525°CMedian: 23.1Minimum: 22.5Maximum: 23.5Interquartile Range: 0.860°CMedian: 41.2Minimum: 38.1Maximum: 43.3Interquartile Range: 3.75
Data & AnalysisOverall Boxplots0°CMedian: 13.3Minimum: 2.40Maximum: 25.20Interquartile Range: 3.8375Outliers: 2.40 5.25 5.40 6.64 25.20 19.425°CMedian: 33.50Minimum: 13.23Maximum: 45.20Interquartile Range: 11.8Outlier: 13.2360°CMedian: 74.75Minimum: 24.72Maximum: 123.00Interquartile Range: 63.92Outliers: none
Data & AnalysisGraph ComparisonOur data graph  intersects overall data graph
Large difference in 60°C dataData & AnalysisAnalysisOur low IQRs mean the data is very precise
Mean and median are fairly close, meaning data is consistent

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Topic 4 Block A

  • 1. Group 4: SolubilityBlock ACarolina ZarateJason WangMichael Yeh
  • 2. TitleIntroduction The Problem Basic Research Balanced Equation Previous Experiments Why? HypothesisStella Model The Solvation Process Deriving the Equation The Dynamic Model Evaluating the ModelProcedure Materials MethodsData Analysis Data PHS Block A Boxplots Overall Boxplots Graph ComparisonAnalysisProblems Encountered ConclusionSourcesIntroduction
  • 3. IntroductionThe ProblemGeneral Question:What is the effect of temperature on solubility of salts?Tested Question:What is the effect of temperature on the solubility of potassium nitrate at temperatures of 0oC, 25oC, and 60oC?
  • 4. IntroductionBasic ResearchBasic facts about Potassium nitrate, or KNO3Potassium nitrate canbe dissolved in waterIt is an orthorhombic crystal.Its melting pointis 334oCIts boiling pointis 400oC
  • 5. IntroductionBalanced EquationThe equation for our experiment:KNO3(s) + H2O(l) ->K+(aq) + NO3-(aq) + H2O(l)The net ionic equation simplifies to:KNO3 (s) ->K+ (aq) + NO3- (aq)
  • 6. IntroductionPrevious ExperimentsOur research found sources created by other scientists working in this field:Empirical data found in other researchers’ previous experimentsThe data showed an exponential increase in solubility with temperature
  • 7. IntroductionWhy?Real-world applications of the results gathered from our experiment include:Solutions in cooking and food
  • 8. Solutions found in living organisms
  • 9. Industry, such as ore processingIntroduction HypothesisThe solubility of potassium nitrate is expected to increase exponentially as temperature increases.Other solids soluble in water follow similar trends
  • 10. A dynamic model in was created in Stella and used to predict the solubility at each temperatureTitleIntroduction The Problem Basic Research Balanced Equation Previous Experiments Why? HypothesisStella Model The Solvation Process Deriving the Equation The Dynamic Model Evaluating the ModelProcedure Materials MethodsData Analysis Data PHS Block A Boxplots Overall Boxplots Graph ComparisonAnalysisProblems Encountered ConclusionSourcesStella Model
  • 11. Stella ModelThe Solvation ProcessWhen KNO3 and H2O form a solution, the KNO3 dissociates into K+ and NO3- ions.
  • 12. At equilibrium, a pair of ions will recombine for each pair that disassociates
  • 13. The solubility product constant for our solution isKsp= [K+][NO3-]NO3-NO3-NO3-NO3-NO3-NO3-K+K+K+K+K+K+Dissolving potassium nitrate
  • 14. Stella ModelDeriving the EquationGibbs-Helmholtz Equation: G = H - T * SRelationship between Ksp and G:G = -R * T * ln(Ksp)H - T * S = -R * T * ln(Ksp)ln(Ksp) = (H - T * S) / (-R * T)Ksp = e(S / R -H / (R * T))H: Enthalpy changeS: Entropy changeG: Free energy changeT: Temperature (Kelvin)R = 8.314 J/(mol*K)
  • 15. Stella ModelDeriving the EquationKsp= [K+][NO3-] = x2x2 = eS / R - H / (R * T)x = Sqrt(eS / R - H / (R * T))ICE box: x is the solubility
  • 16. Stella ModelThe Dynamic ModelThe values for S and H were found in The CRC Handbook of Physics and Chemistry
  • 17. Stella ModelThe Dynamic ModelPredictions:0°C:13 g KNO3per 100 mL H2O.25°C: 37.5 g KNO3 per 100 mL H2O.60°C: 71.73 g KNO3 per 100 mL H2O.
  • 18. Stella ModelEvaluating the ModelReasons for the linear solubility curve:Only one changing variable, T
  • 19. More accurate at lower temperatures
  • 20. To fix this, it would have been necessary to find the change in temperatureTitleIntroduction The Problem Basic Research Balanced Equation Previous Experiments Why? HypothesisStella Model The Solvation Process Deriving the Equation The Dynamic Model Evaluating the ModelProcedure Materials MethodsData Analysis Data PHS Block A Boxplots Overall Boxplots Graph ComparisonAnalysis Problems Encountered ConclusionSourcesProcedure
  • 21. ProcedureMaterials1 PASCO Explorer GLX (#4)1 GLX Temp Probe (Stainless Steel Chemical Resistant)20 Weighing Boats1 Analytical Scale1 Glass Funnel1 1000 mL Beaker1 10 mL Graduated Cylinder1 Vacuum Flask4 50 mL Erlenmeyer Flasks1 Hot Plate1 Mixer (Separate from hot plate)10 mL Tap Water (H2O) per Trial6 g KNO3 per TrialIce: enough to fill a 1000 mL Beaker1 Plastic Pipette15 Filter Papers1 Small Magnetic Stirrer Pill1 Magnet to take out the Pill
  • 22. ProcedureMethodsMeasure 10 mL of tap water and pour into Erlenmeyer flask.Put Erlenmeyer flask onto a hot plate and heat to 60oC. (Use GLX to measure temperature)
  • 23. ProcedureMethodsMeasure 6 g of potassium nitrate in a weighing boat on an analytical scaleRemove the Erlenmeyer flask from the hot platePour the potassium nitrate and the magnetic stirrer into the Erlenmeyer flask
  • 24. ProcedureMethodsPay attention to the temperature as the KNO3 dissolves.Allow the magnetic stirrer to run for 2-5 minutesRemove the magnetic stirrer and temperature probe
  • 25. ProcedureMethodsPlace a filter paper into the funnel, and insert into the vacuum flaskPour the contents of the Erlenmeyer flask through the filter paperRemove the filter paper and place on the table to dry.
  • 26. ProcedureMethodsPlace an unused filter paper on the analytical scale and zero itPlace the dry paper with the potassium nitrate on the scale to weigh the undissolved soluteSubtract the weight from 6 g
  • 27. ProcedureMethodsRepeat this process 4 more timesRepeat 1-15, but heat water to 25oC insteadRepeat 1-15, but use an ice bath to cool water to 0oCDrying KNO3Ice Bath
  • 28. TitleIntroduction The Problem Basic Research Balanced Equation Previous Experiments Why? HypothesisStella Model The Solvation Process Deriving the Equation The Dynamic Model Evaluating the ModelProcedure Materials MethodsData Analysis Data PHS Block A BoxplotsOverall Boxplots Graph ComparisonAnalysis Problems Encountered ConclusionSourcesData & Analysis
  • 29. Data & AnalysisDataWe did 15 trials, 5 trials at each temperature
  • 30. We used 10 mL of water and 6 g of KNO3 per trial, but we scaled our results up to 100 mL and 60 gData & AnalysisData
  • 31. Data & AnalysisPHS Block A Boxplots0°CMedian: 15.8Minimum: 13.8Maximum: 19.4Interquartile Range: 3.2525°CMedian: 23.1Minimum: 22.5Maximum: 23.5Interquartile Range: 0.860°CMedian: 41.2Minimum: 38.1Maximum: 43.3Interquartile Range: 3.75
  • 32. Data & AnalysisOverall Boxplots0°CMedian: 13.3Minimum: 2.40Maximum: 25.20Interquartile Range: 3.8375Outliers: 2.40 5.25 5.40 6.64 25.20 19.425°CMedian: 33.50Minimum: 13.23Maximum: 45.20Interquartile Range: 11.8Outlier: 13.2360°CMedian: 74.75Minimum: 24.72Maximum: 123.00Interquartile Range: 63.92Outliers: none
  • 33. Data & AnalysisGraph ComparisonOur data graph intersects overall data graph
  • 34. Large difference in 60°C dataData & AnalysisAnalysisOur low IQRs mean the data is very precise
  • 35. Mean and median are fairly close, meaning data is consistent
  • 36. Data did increase exponentially, but not exactly as predicted
  • 37. 0oC trials dissolved more than expected; room temperature heated the solution
  • 38. 60oC dissolved less than expected; room temperature cooled the solutionData & AnalysisAnalysisOverall results closely match results from professional experiments
  • 39. Lots of inconsistencies shown in the boxplots
  • 40. Much larger IQR for 60oC than our block alone
  • 41. More outliers for 0oC: 6 as opposed to 1 and none
  • 42. Variations in data due to different procedures
  • 43. Even with larger IQRs and more outliers, mean and medians of the 155 trials match our hypothesis closelyData & AnalysisProblems EncounteredMaintaining temperature: cooling to 0o and heating to 60oC
  • 44. Rate of dissolution: used a magnetic stirrer to accelerate process
  • 45. Transferring solution: wet residue stuck to sides of flask, used spatula to remove it
  • 46. Measuring remnants: wet filter paper was inconsistent, waited for the crystals to dryData & AnalysisConclusionHypothesis confirmed: the solubility did increase exponentially when the temperature increased.155 trials not enough to definitively answer the question – it does provide solid evidence
  • 47. In the future, more data can be collected using same methods
  • 50. Use different salts instead of KNO3SourcesAustin Peay State University. (n.d.). Introduction. In Solubility and Thermodynamics of Potassium Nitrate. Retrieved from Department of Chemistry, Austin Peay State University website: http://www.apsu.edu/‌files/‌chemistry/‌Solubility_and_Thermodynamics_of_Potassium_Nitrate_RF9.pdfBender, H., & Francis, E. (2003). Dissolution Reactions. Retrieved April 5, 2011, from Clackamas Community College website: http://dl.clackamas.edu/‌ch105-03/‌dissolut.htmButhelezi, T., Dingrando, L., Hainen, N., Wistrom, C., & Zike, D. (2008). Chemistry: Matter and Change. Columbus, OH: Glencoe/‌McGraw-Hill.Clark, J. (2005). Solubility Curves. In Solid-Liquid Phase Diagrams: Salt Solution. Retrieved from http://www.chemguide.co.uk/‌physical/‌phaseeqia/‌saltsoln.htmlDebelius, B. B., Gómez-Parra, A., & Forja, J. (2009). Oxygen solubility in evaporated seawater as a function of temperature and salinity. Retrieved from EBSCOhost database. (43264914)Determination of Saturation Temperature Method. (n.d.). Solubility of Salts. Retrieved April 5, 2011, from College of DuPage website: http://www.cod.edu/‌dept/‌chem/‌poc/‌Experiments/‌PotassiumNitrate-02/‌Solubility.htm#IntroGrow, J. M. (1999, August). Heat of Solution. Retrieved April 5, 2011, from New Jersey Institute of Technology website: http://www-ec.njit.edu/‌~grow/‌Heatsolution/‌HeatofSolution.htmlLerner, E. K. L., & Lerner, B. W. (2008). Solubility. Retrieved April 5, 2011, from Gale Science in Context database. (CV2644032069 )Lide, D. R. (Ed.). (2003-2004). CRC Handbook of Chemistry and Physics [PDF] (84th ed.).Mierdel, K., & Keppler, H. (2004, August 5). Abstract. In The Temperature Dependence of Water Solubility in Enstatite. Retrieved from EBSCOhost database. (14964762)Newton, D. E. (1999). Chemical Elements: From Carbon to Krypton: Vol. 3. P-Z (L. W. Baker, Ed.). Farmington Hills, MI: UXL.Silberman, R. G. (1999). The Thermodynamics of Potassium Nitrate Dissolving in Water (H. D. Schreiber, Ed.) [Pamphlet]. Retrieved from http://cerlabs.brookscole.com/‌experiments/‌10875405126.pdfSolubility Product Constants, Ksp. (n.d.). Retrieved April 20, 2011, from Purdue University website: http://www.chem.purdue.edu/‌gchelp/‌howtosolveit/‌equilibrium/‌solubility_products.htm#SolubilitypureSTELLA Models . (n.d.). Retrieved April 20, 2011, from Williamsport High School website: http://www.wcboe.k12.md.us/‌custom_pages/‌430/‌main_old/‌mvhs/‌stella/‌index.htmlUniversity of Virgina Physics Department. (2009). Temperature Effect on Solubility. Retrieved March 5, 2011, from University of Virginia website: http://galileo.phys.virginia.edu/‌education/‌outreach/‌8thgradesol/‌TempSolubility.htmZumdahl, S. S. (1989). Chemistry (2nd ed.). Lexington, Massachusetts: D.C. Heath and Company. doi:10.1021/‌ed066pA231.1