DATA EXPER 6 STEVEN HARRIDGE

DATA SHEET - EXPERIME N T 6 Name: ------ - - - ball bearings Density Determination by Liquid Displacement Unknown Element A: I. Mass · of unknown element A, g: 2. Volume of water in graduated cylinder, ml: 3. Volume of water+ Unknown A in graduated cylinder, ml: 4. Volume of element A, ml: LY - IS 5. Density of Unknown A, grams/ml: ~ -\7 ::::. - ¾ 1 . - \ 6. Guessed identity of Unknown A (see Appendix C): Unknown Element B: 7. Mass of unknown element B, g: 8. Volume of water in graduated cylinder, ml: 9. Volume of water+ Unknown Bin graduated cylinder, ml: 10. Volume of element B, ml: 11. Density of Unknown B, grams/ml: ! Q41J _:;; 12. Guessed identity of Unknown B (see Appendix C): Fishing Weights: 13. Mass of fishing weights, g: l~-11 14. Volume of water in graduated cylinder, ml: 15. Volume of water+ fishing weights in graduated cylinder, ml: 16. Volume of fishing weights, ml: 17. Density of fishing weights, grams/ml: 18. Based on the measured density, what elements do you think were admixed to make the fishing weights?: 83 G

Name: -------- Post-1982 Pennies: 19. Mass ofpost-1982 pennies, g: 20. Average mass of a single post-1982 penny, g: US Treasury Department gives the m~s o~ost-1982 penny as 2.50 grams Cr 1- _5 2., t;;;" _) 21. Volume of water in graduated cylinder, ml: 22. Volume of water+ post-1982 pennies in graduated cylinder, ml: 23. Volume ofpost-1982 pennies, ml: 24 . Density of post-1982 pennies, grams/ml: 25. Guessed composition of a post-1982 penny based on density: Clo Pre-1982 Pennies: 26 . Mass of pre-1982 pennies, g: 27. Average mass of a single pre-1982 penny, g: US Treasury Department gives the mass of pre-1982 penny as 3.11 grams ~o yY){ _, S2m~ a, rn1 - /ff\~ I .. F; I ; .. , ' ' DI 8,( -S D fflL, 29. Volume of water+ pre-1982 pennies in graduated cylinder, ml: 6 ('(\ L- 30. Volume of pre-1982 pennies, ml: Q l\ L -- -- 28. Volume of water in graduated cylinder, ml: 31. Density of pre-1982 pennies, grams/ml: '{. '( 2 e) [ tvl G 3~ G'.:cSOOi~Wnocor~nnG~of ~, Density Determination by Volume Formula Calculation Wooden rectangular block ri . 33. Volume of wooden block, length x width x height, cm\.l, 'I. I , '~ \!~ 34. Mass of wooden block, grams: 35 . Density of wooden block, grams/cm 3 : 36 . What kind of wood might the block be made of : 1)0 84

Name: -- - ---- - - The density of the steel ball bearings was detennined using two linear least squares analysis. In the first analysis the data was entered as (x,y)-ordered pairs of (volume, mass). In the seco nd analysis, the data was ordered as (mass,volume)-ordered pairs. Which of the two data treatments is more appropriate for the experimental data that you measured? Explain you answer in essay style fonnal. ( L ~'I0 3 vn0'10) yrfD 86

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X y 0.4526 3.53 0.7184 5.61 1.073 8.38 2.095 16.33 3.6198 28.22 0.99999981 CORRELATION Y-AXIS VS X-AXIS 0.99999981 CORRELATION X-AXIS VS Y-AXIS 7.79318078 SLOPE Y/X 0.12831726 SLOPE X/Y (RECIPROCAL) y 30 10 0.5 1.5 2.5 3.5

Steven Harridge In this experiment, the density of the steel ball bearings was determined by using two linear least square analysis. I used Microsoft Excel, and followed the directions as instructed in the lab manual on pages 81 and 82. The first was entered as (x,y)- ordered pairs of(volume, mass), and the second was entered as (mass, volume)-ordered pairs. Of the two data treatments, the density of the ball bearings calculated as reciprocal of slope of volume (y-axis) versus mass (x-axis) linear least squares analysis data treatment was more appropriate for the experimental data that I measured in the lab. Next, I will share the results and discuss them as calculated as proof that this treatment is most appropriate. For the calculated density by finding the Diameter, then the radius, volume, and mass of all the ball bearings, the density came out to be 0.128 g/cm'. There were 5 different ball bearings, each with their own mass, radius, and volume, and the density for each was determined and calculated to be the same. When calculating the density of the ball bearings using the treatment from slope of mass (y-axis) versus volume (x-axis) linear least squares analysis, the density was calculated to be 7. 793 .18078 g/cm'precisely. This does not correlate with the density that was calculated by me in the lab. However, the calculation of the density of the ball bearings calculated as reciprocal of slope of volume (y-axis) versus mass (x-axis) linear least squares analysis data had results that were in direct correlation with the results that I calculated in the lab. The density calculated from this treatment was 0.12831726 g/cm'precisely, therefore making it the more appropriate data treatment for the experimental data that I measured.