Measurement and Uncertainty Lab
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Jan 9, 2024
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Uploaded by MateRainMule41
11/19/23
Measurement and Uncertainty
Activity 1
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
10.00 g
0.01 g
9.99 g
0.00 g
2
10.01 g
0.02 g
10.00 g
0.01 g
3
9.98 g
0.01 g
10.00 g
0.01 g
4
9.99 g
0.00 g
9.98 g
0.01 g
5
9.99 g
0.00 g
9.98 g
0.01 g
Average
9.99 g
0.01 g
9.99 g
0.01 g
Question
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 you use a third plastic cup in the same experiment, whether the average
deviation from the average mass will be the same or different depends on a few
things. If everything is very accurate and the new cup is similar to the first two
cups, the average deviation may be similar. This is if the conditions and
measurements stay the same. But if there are differences in the new cup or if
something changes in how you're doing the experiment, the average deviation
could be different. Things like how well the balance is set up, how the cups are
handled, and if the cups are all the same can affect the results. In scientific
experiments, it's important to keep things the same to get reliable results. If
things change, the average deviation might show those changes.
Activity 2
Data Table 2: Determination of Uncertainty in Common Glassware
10-mL
Graduated
Cylinder
50-mL
Graduated
Cylinder
25-mL
Erlenmeyer
Flask
250-mL Beaker
Mass of empty
glassware
10.83 g
30.00 g
23.15 g
46.25 g
Estimated
volume of water
7.12 ml
24.00 ml
17.00 ml
52.25 ml
11/19/23
Measurement and Uncertainty
10-mL
Graduated
Cylinder
50-mL
Graduated
Cylinder
25-mL
Erlenmeyer
Flask
250-mL Beaker
High volume
interval
7.15 ml
24.05 ml
17.03 ml
53.15 ml
Low volume
interval
7.10 ml
23.95 ml
16.98 ml
52.15 ml
Uncertainty
0.05 ml
0.10 ml
0.05 ml
0.50 ml
Mass of
glassware with
water
17.92 g
54.00g
54.00 g
40.75 g
98.45 g
Mass of water
7.09 g
24.00 g
17.60 g
52.20 g
Question
2.
Which piece of glassware has the highest degree of precision? Why?
The 10-mL Graduated Cylinder and the 25-mL Erlenmeyer Flask are the most
precise because they have the smallest uncertainty, which is like a measure of
how close we expect our measurements to be. Smaller uncertainty means our
measurements are likely to be closer together. This means that these two pieces
of glassware are the best at giving us accurate measurements among the
options.
Measurement and Uncertainty
Back
Activity 3
Data Table 3: Determination of Accuracy in Common Glassware
10-mL
Graduated
Cylinder
50-mL
Graduated
Cylinder
25-mL
Erlenmeyer
Flask
250-mL Beaker
Mass of water in
Activity 2
7.09 g
24.00 g
17.60 g
52.20 g
11/19/23
Measurement and Uncertainty
10-mL
Graduated
Cylinder
50-mL
Graduated
Cylinder
25-mL
Erlenmeyer
Flask
250-mL Beaker
Current water
temperature
21 °C
Density of water
at room
temperature
0.9980 g/mL
Calculated
volume of water
7.11 ml
24.05 ml
17.67 ml
52.27 ml
Question
3.
Accuracy is gauged by comparing the measured value of a known standard to its
true value. Assuming the mass of the water represents a standard for the true
volume of water, which piece of glassware has the highest degree of accuracy?
Why?
Accuracy means how close your measurement is to the correct value. If we use
the mass of the water as the correct value, we can see which glassware gives us a
measurement that is closest to what we expect.
1.
10-mL Graduated Cylinder:
•
Calculated Volume: 7.09g0.9980g/mL
≈
7.12mL0.9980g/mL7.09g
≈
7.12mL
2.
50-mL Graduated Cylinder:
•
Calculated Volume: 24.00g0.9980g/mL
≈
24.06mL0.9980g/mL24.00g
≈
24.06mL
3.
25-mL Erlenmeyer Flask:
•
Calculated Volume: 17.60g0.9980g/mL
≈
17.66mL0.9980g/mL17.60g
≈
17.66mL
4.
250-mL Beaker:
•
Calculated Volume: 52.20g0.9980g/mL
≈
52.27mL0.9980g/mL52.20g
≈
52.27mL
1.
10-mL Graduated Cylinder:
•
We measured about 7.12 mL. It's quite close to what we expected.
2.
50-mL Graduated Cylinder:
•
We measured about 24.06 mL. It's close, but not as close as the 10-
mL one.
3.
25-mL Erlenmeyer Flask:
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11/19/23
Measurement and Uncertainty
•
We measured about 17.66 mL. It's pretty close, similar to the 10-mL
one.
4.
250-mL Beaker:
•
We measured about 52.27 mL. It's close, but not as close as the 10-
mL or 25-mL ones.
So, the 10-mL Graduated Cylinder seems to be the most accurate because its
measurement is very close to what we expected.
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