IB Chemistry, IB Biology on Uncertainty calculation, error analysis and standard deviation on rate of reaction

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IB Chemistry, IB Biology on Uncertainty calculation, error analysis and standard deviation on rate reaction

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  • Hello, where exactly is the 0.09 value obtained from? The reaction time uncertainty, meaning what?
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IB Chemistry, IB Biology on Uncertainty calculation, error analysis and standard deviation on rate of reaction

  1. 1. http://lawrencekok.blogspot.com Prepared by Lawrence Kok Tutorial on Uncertainty Calculation, Error analysis and Standard deviation for rate of reaction.
  2. 2. IB Chemistry, Uncertainty, Error Analysis, Standard Deviation Uncertainty Calculation for Rate and Concentration of reaction. Rate = 1/time, Time for X to disappear. ( Iodine Clock Reaction) <ul><li>3 Methods for Uncertainty Calculation for Rate (0.10M) KI. </li></ul><ul><li>Average time is (5.28 + 4.75 + 4.47) / 3 =  4.83 </li></ul>
  3. 3. <ul><li>1 st % Uncertainty Method </li></ul><ul><li>Uncertainty time = Uncertainty (stop watch + reaction time) </li></ul><ul><li>( 0.01 + 0.09 ) = ( 0.10 ) </li></ul><ul><li>Time  = 4.83 ±( 0.10 ) </li></ul><ul><li>2 nd Max-min range Method </li></ul><ul><li>Uncertainty time = (Max time - Min time)/2, = ( 5.28 - 4.47 )/2 = 0.41 </li></ul><ul><li>Time = 4.83 ±0.41 </li></ul>1 st % Uncertainty Method Uncertainty time = (4.83 ± 0.10) Rate = 1/ time, 1/ 4.83 = 0.207 2 nd Max-min range Method Uncertainty time = ( 4.83 ± 0.41) Rate = 1/time, 1/ 4.83 = 0.207 3 Methods used for Uncertainty Calculation for Rate
  4. 4. 1 st % Uncertainty Method <ul><li>% Uncertainty time = (0.1/4.83) x100 %=2.07 </li></ul><ul><li>% Uncertainty Rate = % Uncertainty time </li></ul><ul><li>% Uncertainty Rate = 2.07% </li></ul><ul><li>Rate = (0.207 ± 2.07)% </li></ul><ul><li>Rate = 0.207 ± 0.004 </li></ul><ul><li>2 nd Max-min range Method </li></ul><ul><li>% Uncertainty time = (0.41/ 4.83) x 100% = 8.48% </li></ul><ul><li>% Uncertainty Rate = % Uncertainty time </li></ul><ul><li>%Uncertainty Rate = 8.48% </li></ul><ul><li>Rate = 0.207 ± 8.48% </li></ul><ul><li>Rate = 0.207 ± 0.017 </li></ul>
  5. 5. 3 rd Max /Min Rate Method <ul><li>Max Rate = 1/ Minimum time, 1/ 4.47 = 0.220 </li></ul><ul><li>Min Rate = 1/ Maximum time, 1/ 5.28 = 0.190 </li></ul><ul><li>Ave rate = 1/ Ave time, 1/ 4.83 = 0.207 </li></ul><ul><li>Uncertainty Rate = 0.207 ± ( 0.220 --- 0.190 ) </li></ul>
  6. 6. <ul><li>Uncertainty Cal for Conc, 30ml 0.1M KI (2 Methods used) </li></ul><ul><li>1 st % Uncertainty Method </li></ul><ul><li>Pipette uncertainty  =  ± 0.4 and Total Volume used = 30ml </li></ul><ul><li>%Uncertainty Vol KI = (0.4/ 30) x100%=1.3% </li></ul><ul><li>% Uncertainty Vol Water = 0% </li></ul><ul><li>%Uncertainty Conc = % Uncertainty Vol KI only </li></ul><ul><li>%Uncertainty Conc = 1.3% </li></ul><ul><li>1 st % Uncertainty Method </li></ul><ul><li>%Uncertainty Conc = %Uncertainty Vol KI + %Uncertainty Vol Water </li></ul>
  7. 7. <ul><li>Calculation Absolute Uncertainty </li></ul><ul><li>Conc = 0.10 ± 1.3% </li></ul><ul><li>Conc = 0.100 ± 0.001 </li></ul>
  8. 8. 2 nd Max/Minimum Method Preparing 0.053M from 0.1M KI using pipette. Pipette uncertainty = ± 0.4 Max Conc KI = Max Vol KI and Min Vol of water used M x V (dil) = M x V (conc) M x (15.8 + 14.2) = 0.1 x (15.8) M = 0.1 x ( 15.8 ) / ( 15.8+ 14.2  ) M = 0.053 Max Conc KI = Max Vol KI + Min Vol water  Max Vol KI = 15.8 ± 0.4 = 16.2 Min Vol water = 14.2 ± 0.4 = 13.8
  9. 9. M x V (dil) = M x V (conc) Max Conc KI =  (0.1 x 16.2) / ( 16.2 + 13.8 ) Max Conc = 0.054 Min Conc  = Min Vol KI and Max Vol water used Min Vol KI = 15.8 ± 0.4 = 15.4 Max Vol water = 14.2 ± 0.4 = 14.6 M x V (dil) = M x V (conc) M x (15.4 + 14.6)  = 0.1 x (15.4) M = 0.1 x ( 15.4 ) / ( 15.4 + 14.6 ) M = 0.051 Min Conc = 0.051 Uncertainty Conc = 0.053 ± ( 0.054 --- 0.051)
  10. 10. Uncertainty Calculation, 2 fold Serial dilution using 3% H 2 O 2 Two Methods used 1 st % Uncertainty Method For 1.5% : Total % Uncertainty is 1.6%, Answer = 1.5 ± 1.6% Propagation of error involved
  11. 11. Absolute Uncertainty for 1.5 ± 1.6% = (1.50 ± 0.02)%
  12. 12. 2 nd Max/ Min Method  For 2 fold Serial dilution on 3% H 2 O 2 M x V (dil) = M x V (conc) M x (1.5 +1.5) = 3% x 1.5 M = 1.5%
  13. 13. Max Conc H 2 O 2  when Min Conc H 2 O 2 when Max Vol H 2 O 2  used = 1.51 Min Vol H 2 O 2 used = 1.49 Min Vol water used = 1.49 Max Vol water used = 1.51 Max Conc H 2 O 2                                         Min Conc H 2 O 2                                M x V (dil) = M x V (conc)                        M x V (dil) = M x V (conc)                            M x (1.51 + 1.49)  = 3% x ( 1.51 )             M x (1.51 + 1.49)  = 3% x ( 1.49 ) M = 3% x ( 1.51 )/ ( 1.51 + 1.49 )              M = 3% x ( 1.49 )/ ( 1.51 + 1.49 ) M = 1.51%                                                 M = 1.49% Max Conc = 1.51%                                   Min Conc = 1.49% Uncertainty Conc H 2 O 2  = 1.50 ± (1.51%---1.49%)
  14. 14. Uncertainty Calculation for Rate Using Vernier Sensor. How changing conc of H 2 O 2  affect the rate of decomposition of H 2 O 2  (catalase) measured using pressure sensor? <ul><li>Initial Rate for 1.5% = slope or gradient of curve </li></ul><ul><li>Perform 3 trials at 1.5% </li></ul><ul><li>Take Average rate </li></ul>
  15. 15. Average Rate by taking average for 3 trials Uncertainty for Rate = Standard deviation Use Excel to calculate Std deviation Average rate = (0.113 ±0.015)kPa/s
  16. 16. Click HERE to view video on how to insert error bar or standard deviation in Excel
  17. 17. Acknowledgements Thanks to source of pictures and video used in this presentation Thanks to Creative Commons for excellent contribution on licenses http://creativecommons.org/licenses/ Prepared by Lawrence Kok Check out more video tutorials from my site and hope you enjoy this tutorial http://lawrencekok.blogspot.com

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