# SC CHEM 321 - Dilution, Calibration and Error Analysis (8 pages)

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**View the full content.**## Dilution, Calibration and Error Analysis

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## Dilution, Calibration and Error Analysis

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- Pages:
- 8
- School:
- University Of South Carolina-Columbia
- Course:
- Chem 321 - Quantitative Analysis

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Chemistry 321L 02M Post Lab Experiment 1 Dilution Calibration and Error Analysis By Cameron Kahn 12 February 2014 TA Muditha Dias Kahn 1 P a g e Single investigator tasks 1 Flow chart depicting dilution strategies Parallel Dilution Strategy 1 30 sucrose written on working bottle Added 500 L of known sucrose Added 1 000 L of known sucrose Added 1 500 L of known sucrose Diluted to 10mL Diluted to 10mL Diluted to 10mL Mass of solution 10 0519g Mass of solution 10 0826g Mass of solution 10 1137g Calculated density 1 005g mL Added 2 000 L of known sucrose Diluted to 10mL Mass of solution 10 202g Calculated density 1 020g mL Kahn 2 P a g e Calculated density 1 008g mL Calculated density 1 011g mL The temperature during dilutions was 24oC Added 2 500 L of known sucrose Diluted to 10mL Mass of solution 10 236g Calculated density 1 0236g mL Parallel dilutions use multiple dilutions to determine the relationship between sucrose and density Strategy 1 involved 5 steps for each dilution Tare volumetric flask add known volume via Eppendorf dilute to the mark 10mL determine the mass of the solution and calculate density Serial Dilution 30 sucrose written on working bottle We took the most concentrated calibrator and label it SD1 From parallel dilutions SD1 has a density 1 0236g The temperature during dilutions was 24oC Added 2000 L from calibrator to volumetric flask Diluted to 10mL This is now labeled SD2 and has a density 0 9946g mL This process continues by taking the newly labeled calibrator previously made add 2 000 Lfrom previous calibrator into volumetric flask dilute to 10mL and then re label new calibrator concentration SD3 SD4 and SD5 SD3 density 0 9939g mL SD4 Density 0 9875g mL Kahn 3 P a g e SD5 Density 0 9825g mL 2 Tabulated data sets Calibration of Eppendorf 1 10 to 100 L 10 standard deviation 25 standard deviation 50 standard deviation 75 standard deviation 100 standard deviation Calibration of Eppendorf 2 100 to 1 000 L 100 standard deviation 250 standard deviation 500 standard deviation 750 Kahn 4 P a g e Mass g 0 0089 0 0088 0 0087 0 0001 0 0228 0 0226 0 0225 0 0002 0 0479 0 0474 0 0473 0 0003 0 0719 0 0718 0 0718 5 7735E05 0 0963 0 0970 0 0967 0 0004 Mass g 0 094 0 094 0 095 0 001 0 242 0 242 0 243 0 001 0 493 0 492 0 484 0 005 0 747 0 741 0 740 Average Mass g 0 0088 0 0226 0 0475 0 0718 0 0967 Average Mass g 0 0944 0 242 0 4897 0 7423 standard deviation 1000 0 0040 0 994 0 988 0 989 0 003 standard deviation Parallel Dilution Set Volumes L 500 1000 1500 2000 2500 Volumes after pipette calibrations L 494 74 996 09 1497 44 1998 79 2500 15 0 9903 sucrose 1 48 2 99 4 49 6 0 7 50 Density g mL 1 005 1 00826 1 01137 1 02021 1 02363 Serial Dilution Set Volumes Density L Volumes after pipette calibrations L sucrose g mL 2000 1998 79 7 50 1 0236 2000 1998 79 1 50 0 9946 2000 1998 79 0 30 0 9939 2000 1998 79 0 06 0 9873 2000 1998 79 0 01 0 9825 3 Calibration Curves Calibration of Eppendorf 1 10 100 L 0 12 Average Mass g 0 1 f x 0x 0 R 1 0 08 Linear 0 06 0 04 0 02 0 0 20 40 60 Set Volume L Kahn 5 P a g e 80 100 120 Average Mass g Calibration of Eppendorf 2 100 1000 L 1 2 1 0 8 0 6 0 4 0 2 0 f x 0x 0 01 R 1 0 200 400 Linear 600 800 1000 1200 Set Volume L Parallel Dilution sucrose versus density Sucrose 8 f x 294 07x 293 6 R 0 96 6 Linear 4 2 0 1 1 01 1 01 1 02 1 02 1 03 Density g mL sucrose Serial Dilution sucrose versus density 8 7 f x 195 11x 192 53 6 R 0 95 5 4 3 2 1 0 0 98 0 99 0 99 1 1 1 01 1 01 1 02 1 02 1 03 1 03 Linear Density g ml 4 Sucrose in group s unknown using regression calculations Kahn 6 P a g e For Parallel Dilution y 294 07x 293 6 x 0 99863g mL density calculated for 10 fold dilution of unknown y unknown sucrose 0 067x10 0 67 For Serial Dilution y 195 11x 192 53 x 0 99863g mL y unknown sucrose 2 31x10 23 13 5 Solve for the 95 confidence interval around the unknown accounting for the pipettor calibrations we only took one measurement for the density of the unknown therefore to use the t test properly we made up two other density measurements Density 0 99863g mL 0 99899g mL 0 99888g mL Parallel dilution x 0 99863g mL unknown sucrose y value was 0 67 x 0 99899g mL unknown sucrose y value was 1 73 x 0 99888g mL unknown sucrose y value was 1 41 The 95 confidence interval of unknown sucrose 1 27 2 34 Serial dilution x 0 99863g mL unknown sucrose y value was 23 13 x 0 99899g mL unknown sucrose y value was 23 83 x 0 99888g mL unknown sucrose y value was 23 61 The 95 confidence interval of unknown sucrose 23 53 1 54 6 Show the hypothesis was correct by using the t test at the 95 confidence level Compare the 95 confidence interval of unknown sucrose from Parallel dilution and serial dilution Parallel dilution 1 27 2 34 Serial dilution 23 53 1 54 Texpected value 59 21 Texp Ttable then the two results are different 59 21 4 303 therefore the two results are different Kahn 7 P a g e Collective tasks 1 Using the eight values in the data set provided solve for the class average and 95 confidence interval of the slope and y intercept from both dilution techniques Collective Tasks Paralle Seria l l 22 55 20 48 27 35 23 1 23 48 19 86 26 36 27 47 29 09 27 29 23 4 23 8 2 21 7 6 1 21 9 23 9 22 3 23 2 28 9 Ttable 2 36 Parallel dilution Average 21 36 95 confidence interval 21 36 18 43 Serial dilution Average 23 6 95 confidence interval 23 6 7 44 Texp 0 25 Texp Ttable then the results are the same this was not asked for but I was curious 2 Show that the hypothesis the values for slope and y intercepts from the given data set was correct using the pooled standard deviation method for both dilution techniques Using Spool equation I get 5 94 To find the Texp substitute Spool value along with the other information already calculated into the Texp calculation that s …

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