GMontenaro M2 Lab 1 - Measurement and Uncertainty
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Measurement and Uncertainty
Grace Montenaro
2/4/2024
Purpose
The purpose of this experiment is to understand and calculate the uncertainties associated with laboratory equipment. This lab involves determining the uncertainty in measurements using a digital scale and assessing the precision and accuracy of different items, such as plastic cups, a 10-mL Graduated Cylinder, 50-mL Graduated Cylinder, 25-mL Erlenmeyer Flask, and 250-mL Beaker. Additionally, the experiment aims to understand how uncertainties impact subsequent measurements, as seen in the determination of accuracy and calculated volumes in activities involving water.
Procedure
Ensuring a stable internet connection, the Carolina website was used to gather all data. Using the pictures shown the weight of cups #1 and #2 was recorded in data table 1. This data collected was used to calculate the uncertainty percent of the mass of the plastic cups. This was done by determining the average mass of the cups, finding the deviation from average from each cup, and calculating that average to get the average deviation. The next activity focused on glass containers, the mass of the 10-
mL Graduated Cylinder, 50-mL Graduated Cylinder, 25-mL Erlenmeyer Flask, and 250-mL Beaker was recorded in data table 2. Studying the pictures provided of the glasses being filled with water, the volume was estimated and recorded along with the estimated high and low volume intervals. The uncertainty associated with each piece of glassware was then calculated. The mass of the water was also calculated by subtracting the mass of the empty glass with the mass of the full glass. In the third activity, the pictures were then studied again, and the information was recorded to measure the
1
mass and density of the water using the current temperature of the water. This information was then used to calculate the accurate volume of the water. This was used to further assess the accuracy of glassware by comparing the calculated volumes with the measured masses. The lab questions were then answered after all data was collected and calculated.
Experimental Data
Data Table 1: Determination of Uncertainty in Lab Balance
Trial
Cup #1 Mass (g)
Cup #1
Deviation
from
Average (g)
Cup #2
Mass (g)
Cup #2
Deviation
from
Average (g)
1
10.52
0.01
10.45
0.03
2
10.54
0.01
10.41
0.01
3
10.54
0.01
10.42
0.00
4
10.53
0.00
10.43
0.01
5
10.54
0.01
10.41
0.01
Average
10.53
0.01
10.42
0.01
Data Table 2: Determination of Uncertainty in Common Glassware
10-mL
Graduated
Cylinder
50-mL
Graduated
Cylinder
25-mL
Erlenmeye
r Flask
250-mL
Beaker
Mass of empty glassware
10.64
29.72
23.60
44.57
Estimated volume of water
6.9
23.9
17
40
High volume interval
7.0
24
18
40
© 2016 Carolina Biological Supply Company
2
10-mL
Graduated
Cylinder
50-mL
Graduated
Cylinder
25-mL
Erlenmeye
r Flask
250-mL
Beaker
Low volume interval
6.8
23.8
16
35
Uncertainty
0.1
0.1
1
2.5
Mass of glassware with water
17.40
53.23
40.57
78.78
Mass of water
6.76
23.51
16.97
34.21
Data Table 3: Determination of Accuracy in Common Glassware
10-mL
Graduated
Cylinder
50-mL
Graduated
Cylinder
25-mL
Erlenmeye
r Flask
250-mL
Beaker
Mass of water in Activity 2
6.76
23.51
16.97
34.21
Current water temperature
25C
Density of water at room temperature
0.9970
Calculated volume of water
6.78
23.28
17.02
34.31
Lab Questions
1.
Suppose you continued Activity 1 using a third plastic cup of the same type. Would you expect the average deviation from the average mass to be the same or different? Explain your answer.
If I were to use a third plastic cup for activity 1 I would expect the average
deviation from the average mass to be the same from the first two cups. This is because there isn’t an unexpected room for error for these measurements. © 2016 Carolina Biological Supply Company
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