IB Chemistry, IB Biology on Uncertainty calculation, error analysis and standard deviation on rate...
-
Upload
lawrence-kok -
Category
Technology
-
view
33.194 -
download
3
description
Transcript of IB Chemistry, IB Biology on Uncertainty calculation, error analysis and standard deviation on rate...
![Page 1: IB Chemistry, IB Biology on Uncertainty calculation, error analysis and standard deviation on rate of reaction](https://reader031.fdocuments.in/reader031/viewer/2022020123/5593816f1a28ab21218b46f5/html5/thumbnails/1.jpg)
http://lawrencekok.blogspot.com
Prepared by Lawrence Kok
Tutorial on Uncertainty Calculation, Error analysis and Standard deviation for rate of reaction.
![Page 2: IB Chemistry, IB Biology on Uncertainty calculation, error analysis and standard deviation on rate of reaction](https://reader031.fdocuments.in/reader031/viewer/2022020123/5593816f1a28ab21218b46f5/html5/thumbnails/2.jpg)
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)
• 3 Methods for Uncertainty Calculation for Rate (0.10M) KI.
• Average time is (5.28 + 4.75 + 4.47) / 3 = 4.83
![Page 3: IB Chemistry, IB Biology on Uncertainty calculation, error analysis and standard deviation on rate of reaction](https://reader031.fdocuments.in/reader031/viewer/2022020123/5593816f1a28ab21218b46f5/html5/thumbnails/3.jpg)
• 1st % Uncertainty MethodUncertainty time = Uncertainty (stop watch + reaction time) ( 0.01 + 0.09 ) = ( 0.10 )Time = 4.83 ±( 0.10 )
• 2nd Max-min range MethodUncertainty time = (Max time - Min time)/2, = ( 5.28 - 4.47 )/2 = 0.41Time = 4.83 ±0.41
1st % Uncertainty MethodUncertainty time = (4.83 ± 0.10)Rate = 1/ time, 1/ 4.83 = 0.207
2nd Max-min range MethodUncertainty time = ( 4.83 ± 0.41)Rate = 1/time, 1/ 4.83 = 0.207
3 Methods used for Uncertainty Calculation for Rate
![Page 4: IB Chemistry, IB Biology on Uncertainty calculation, error analysis and standard deviation on rate of reaction](https://reader031.fdocuments.in/reader031/viewer/2022020123/5593816f1a28ab21218b46f5/html5/thumbnails/4.jpg)
1st % Uncertainty Method• % Uncertainty time = (0.1/4.83) x100 %=2.07• % Uncertainty Rate = % Uncertainty time• % Uncertainty Rate = 2.07% Rate = (0.207 ± 2.07)% Rate = 0.207 ± 0.004
2nd Max-min range Method•% Uncertainty time = (0.41/ 4.83) x 100% = 8.48%•% Uncertainty Rate = % Uncertainty time•%Uncertainty Rate = 8.48%Rate = 0.207 ± 8.48%Rate = 0.207 ± 0.017
![Page 5: IB Chemistry, IB Biology on Uncertainty calculation, error analysis and standard deviation on rate of reaction](https://reader031.fdocuments.in/reader031/viewer/2022020123/5593816f1a28ab21218b46f5/html5/thumbnails/5.jpg)
3rd Max /Min Rate Method
• Max Rate = 1/ Minimum time, 1/ 4.47 = 0.220• Min Rate = 1/ Maximum time, 1/ 5.28 = 0.190• Ave rate = 1/ Ave time, 1/ 4.83 = 0.207Uncertainty Rate = 0.207 ± ( 0.220 --- 0.190 )
![Page 6: IB Chemistry, IB Biology on Uncertainty calculation, error analysis and standard deviation on rate of reaction](https://reader031.fdocuments.in/reader031/viewer/2022020123/5593816f1a28ab21218b46f5/html5/thumbnails/6.jpg)
Uncertainty Cal for Conc, 30ml 0.1M KI (2 Methods used)
1st % Uncertainty Method• Pipette uncertainty = ± 0.4 and Total Volume used = 30ml
• %Uncertainty Vol KI = (0.4/ 30) x100%=1.3%• % Uncertainty Vol Water = 0%• %Uncertainty Conc = % Uncertainty Vol KI only• %Uncertainty Conc = 1.3%
1st % Uncertainty Method• %Uncertainty Conc = %Uncertainty Vol KI + %Uncertainty Vol Water
![Page 7: IB Chemistry, IB Biology on Uncertainty calculation, error analysis and standard deviation on rate of reaction](https://reader031.fdocuments.in/reader031/viewer/2022020123/5593816f1a28ab21218b46f5/html5/thumbnails/7.jpg)
Calculation Absolute Uncertainty• Conc = 0.10 ± 1.3%• Conc = 0.100 ± 0.001
![Page 8: IB Chemistry, IB Biology on Uncertainty calculation, error analysis and standard deviation on rate of reaction](https://reader031.fdocuments.in/reader031/viewer/2022020123/5593816f1a28ab21218b46f5/html5/thumbnails/8.jpg)
2nd Max/Minimum Method
Preparing 0.053M from 0.1M KI using pipette.Pipette uncertainty = ± 0.4Max 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 = 16.2Min Vol water = 14.2 ± 0.4 = 13.8
![Page 9: IB Chemistry, IB Biology on Uncertainty calculation, error analysis and standard deviation on rate of reaction](https://reader031.fdocuments.in/reader031/viewer/2022020123/5593816f1a28ab21218b46f5/html5/thumbnails/9.jpg)
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 usedMin Vol KI = 15.8 ± 0.4 = 15.4Max 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 = 0.051Min Conc = 0.051Uncertainty Conc = 0.053 ± ( 0.054 --- 0.051)
![Page 10: IB Chemistry, IB Biology on Uncertainty calculation, error analysis and standard deviation on rate of reaction](https://reader031.fdocuments.in/reader031/viewer/2022020123/5593816f1a28ab21218b46f5/html5/thumbnails/10.jpg)
Uncertainty Calculation, 2 fold Serial dilution using 3% H2O2
Two Methods used1st % Uncertainty Method
For 1.5% :Total % Uncertainty is 1.6%, Answer = 1.5 ± 1.6%Propagation of error involved
![Page 11: IB Chemistry, IB Biology on Uncertainty calculation, error analysis and standard deviation on rate of reaction](https://reader031.fdocuments.in/reader031/viewer/2022020123/5593816f1a28ab21218b46f5/html5/thumbnails/11.jpg)
Absolute Uncertainty for 1.5 ± 1.6% = (1.50 ± 0.02)%
![Page 12: IB Chemistry, IB Biology on Uncertainty calculation, error analysis and standard deviation on rate of reaction](https://reader031.fdocuments.in/reader031/viewer/2022020123/5593816f1a28ab21218b46f5/html5/thumbnails/12.jpg)
2nd Max/ Min Method
For 2 fold Serial dilution on 3% H2O2
M x V (dil) = M x V (conc)M x (1.5 +1.5) = 3% x 1.5M = 1.5%
![Page 13: IB Chemistry, IB Biology on Uncertainty calculation, error analysis and standard deviation on rate of reaction](https://reader031.fdocuments.in/reader031/viewer/2022020123/5593816f1a28ab21218b46f5/html5/thumbnails/13.jpg)
Max Conc H2O2 when Min Conc H2O2 whenMax Vol H2O2 used = 1.51 Min Vol H2O2 used = 1.49Min Vol water used = 1.49 Max Vol water used = 1.51
Max Conc H2O2 Min Conc H2O2 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 H2O2 = 1.50 ± (1.51%---1.49%)
![Page 14: IB Chemistry, IB Biology on Uncertainty calculation, error analysis and standard deviation on rate of reaction](https://reader031.fdocuments.in/reader031/viewer/2022020123/5593816f1a28ab21218b46f5/html5/thumbnails/14.jpg)
Uncertainty Calculation for Rate Using Vernier Sensor.
How changing conc of H2O2 affect the rate of decomposition of H2O2 (catalase) measured using pressure sensor?
• Initial Rate for 1.5% = slope or gradient of curve
• Perform 3 trials at 1.5%
•Take Average rate
![Page 15: IB Chemistry, IB Biology on Uncertainty calculation, error analysis and standard deviation on rate of reaction](https://reader031.fdocuments.in/reader031/viewer/2022020123/5593816f1a28ab21218b46f5/html5/thumbnails/15.jpg)
Average Rate by taking average for 3 trials
Uncertainty for Rate = Standard deviationUse Excel to calculate Std deviationAverage rate = (0.113 ±0.015)kPa/s
![Page 16: IB Chemistry, IB Biology on Uncertainty calculation, error analysis and standard deviation on rate of reaction](https://reader031.fdocuments.in/reader031/viewer/2022020123/5593816f1a28ab21218b46f5/html5/thumbnails/16.jpg)
Click HERE to view video on how to insert error bar or standard deviation in Excel
![Page 17: IB Chemistry, IB Biology on Uncertainty calculation, error analysis and standard deviation on rate of reaction](https://reader031.fdocuments.in/reader031/viewer/2022020123/5593816f1a28ab21218b46f5/html5/thumbnails/17.jpg)
Acknowledgements
Thanks to source of pictures and video used in this presentation
Thanks to Creative Commons for excellent contribution on licenseshttp://creativecommons.org/licenses/
Prepared by Lawrence Kok
Check out more video tutorials from my site and hope you enjoy this tutorialhttp://lawrencekok.blogspot.com