KishanPatel
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Texas A&M University *
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117
Subject
Chemistry
Date
Feb 20, 2024
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Student Name: _____________________ Section Number: ________________ Group Members: ___________________ ___________________________ ______________________ PART 1 Analysis of a Statistical “Sample” Set Group Calculations
: Use the data you collected during the Scientific Measurements Experiment in your laboratory for only one of the pieces of glassware (your TA will assign your group a piece of glassware to study). Circle the selected piece of glassware, and enter your data in the proper spaces, and perform the calculations. Glassware Type (circle one): 100 mL Beaker, 125 mL Erlenmeyer Flask, 100 mL Graduated Cylinder Top-Loading Balance (2 decimals) Analytical Balance (4 decimals) Set 1 Mass of glassware (g) dry Mass of glassware (g) with water Mass of glassware (g) wet Mass of water (g) remaining on glassware (wet mass-dry mass) Volume (mL) of water measured Set 2 Mass of glassware (g) dry Mass of glassware (g) with water Mass of glassware (g) wet Mass of water (g) remaining on glassware (wet mass-dry mass) Volume (mL) of water measured Set 3 Mass of glassware (g) dry Mass of glassware (g) with water Mass of glassware (g) wet Mass of water (g) remaining on glassware (wet mass-dry mass) Volume (mL) of water measured Set 4 Mass of glassware (g) dry Mass of glassware (g) with water Mass of glassware (g) wet Mass of water (g) remaining on glassware (wet mass-dry mass) Volume (mL) of water measured Data Analysis:
Calculate the average mass (g) for the water remaining in your glassware for both sets of measurements (top-loading and analytical balances). Use the appropriate decimals and show ALL
of your work. Top-Loading Analytical Kishan V Patel
566
Igor
Daniel
Adrian
141.29 g
141.4291 g
184.32 g
184.4800 g
141.5062 g 141.39 g
43.90 mL
139.73 g
162.71 g
140.32 g
31.5 mL
139.3288 g
162.7133 g
140.3281 g
175.03 g
142.78 g
34.1 mL
139.3288 g
162.7133 g
140.3281 g
140.38 g
172.35 g
140.4 g
140.3737 g
172.3123 g
140.3830 g
32.7 mL
0.1 g
0.0771 g
0.9993 g
0.59 g
0.28 g
142.50 g
0.1935 g
0.0093 g
0.02 g
Student Name: _____________________ Section Number: ________________ Group Members: ___________________ ___________________________ ______________________ Calculate the Standard Deviation for the mass (g) of water remaining in your glassware for both sets of measurements (top-loading and analytical balances). Use the appropriate decimals and show all your work. Calculate the Relative Standard Deviation (RSD) for the water remaining in your glassware for both sets of measurements (top-loading and analytical balances). Use the appropriate decimals, and report it in parts per thousand (ppt), show all your work. Calculate the Coefficient of Variation (CV) for the water remaining in your glassware for both sets of measurements (top-loading and analytical balances). Use the appropriate decimals and show all your work. Top-Loading Analytical Top-Loading Analytical Top-Loading Analytical Kishan V Patel
566
Igor
Daniel
Adrian
Student Name: _____________________ Section Number: ________________ Group Members: ___________________ ___________________________ ______________________ PART 2 Analysis of a Statistical “Population” Set Your TA will provide you with a sample data set consisting of combined measurements from the entire class, for a total of 30 sets of measurements. Calculate the population average mass (g) for the water remaining in the glassware for both sets of measurements (top-loading and analytical balances) for the entire data set. Use the appropriate decimals and show all your work. Top-Loading Analytical Kishan V Patel
566
Igor
Daniel
Adrian
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Student Name: _____________________ Section Number: ________________ Group Members: ___________________ ___________________________ ______________________ Calculate the Population Standard Deviation for the mass (g) of water remaining in the glassware for both sets of measurements (top-loading and analytical balances) for the entire data set. Use the appropriate decimals and show all your work. Top-Loading Analytical Kishan V Patel
566
Igor
Daniel
Adrian
Student Name: _____________________ Section Number: ________________ Group Members: ___________________ ___________________________ ______________________ Calculate the Confidence Limits (CL) for the entire data (both, top-loading and analytical balance) sets at 68%, 95%, and 99.7% confidence levels and report the range (Confidence Interval) of valid masses at each level. Use the appropriate decimals and show all your work. Obtain the value of z from Table 1. DISCUSSION Review your data set for Part 1, and report experimental values that are not found within the valid range as calculated from the confidence limits at 68% and 99.7 % confidence levels. Table 1. Confidence Level, % z 50 0.67 68 1.00 80 1.29 90 1.64 95 1.96 96 2.00 99 2.58 99.7 3.00 99.9 3.29 Top-Loading Analytical Kishan V Patel
566
Igor
Daniel
Adrian
Student Name: _____________________ Section Number: ________________ Group Members: ___________________ ___________________________ ______________________ Compare and contrast the performance of the top-loading and the analytical balances, and discuss the attainable accuracy and precision of both sets of equipment. Describe the change in the Confidence Intervals as the Confidence Level (%) increases in a couple of sentences. Identify a source of possible Personal (Human) Error in your measurements and discuss how it would affect the measurement. References 1.
Skoog, Douglas, Holler, F. James, Nieman, Timothy A. Principles of Instrumental Analysis.
5
th
Edition. Harcourt Brace College Publishers. 1998. 2.
Skook, Douglas, West, Donald M., Holler, F. James. Fundamental of Analytical Chemistry.
7
th
Edition. Harcourt Brace College Publishers. 1991. Kishan V Patel
566
Igor
Daniel
Adrian
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Sample
1
2
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Calculations for sample 1
Mass of aluminum dish
1.24g
1.26g
1.24g
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Mass of aluminum dish + Epsom salt
1.70g
1.94g
1.80g
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Epsom salt, original (hydrated) mass
0.46g
0.68g
0.56g
1.70g – 1.24g = 0.46g
Mass of aluminum dish + Epsom salt after heating
1.42g
1.62g
1.61g
Epsom salt, heated (dehydrated) mass
0.18g
0.36g
0.37g
1.42g- 1.24g = 0.18g
Mass of water
0.28g
0.32g
0.19g
0.46g – 0.18g = 0.28g
Moles of magnesium sulfate
0.0015mol
0.0030mol
0.0031mol
0.18g x (1mol/120.37g)= 0.0015mol
Moles of water
0.016mol
0.018mol
0.011mol
0.28g x (1mol/18.02g) = 0.016mol
Ratio of moles water: moles of magnesium sulfate
32:3
18:3
11:3.1
0.016 : 0.0015= 32:3
Average Ratio
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