and this question and show calucations (for b the uncertainty = 0.5) U sing the
ID: 716471 • Letter: A
Question
and this question and show calucations (for b the uncertainty = 0.5)
Using the data from Table 1.3 report the average volume delivered using density to the correct number of significant figures. Use either ±2 standard deviations or the full range to specify the uncertainty.
a. Average volume measured: ___________ ± ____________ _____________ (units)
b. How does this compare with your recorded uncertainty for the device?
-for more context here is the pdf of lab: http://docdro.id/iIuFiK2
the password is science2001
Explanation / Answer
The following formula will be used.
Average, x = 1/N*(x1 + x2 + x3 + ….)
where N is the total number of measurements and x1, x2, x3, etc. are the values of the individual measurements.
The standard deviation of the measurements is given as
s = [(x1 - x)2 + (x2 - x)2 + (x3 - x)2 + ….]/(N – 1)]
Run
Mass (g)
Temperature (°C)
Density from literature at T
Vmeasured
(Mass/density
from literature) (mL)
Vattempted (mL)
Vmeasured - Vattempted (mL)
Density (g/mL)
1
18.363
21
0.997992
18.39994709
18.400 (correct to 5 sig.figs)
25
-6.600
0.9962
2
17.564
21
0.997992
17.59933947
17.599
(correct to 5 sig. figs)
25
-7.401
0.9673
3
16.733
21
0.997992
16.76666747
17.767
(correct to 5 sig. figs)
25
-8.233
0.9825
4
18.258
21
0.997992
18.29473583
18.295
(correct to 5 sig. figs)
25
-6.705
0.9863
5
19.878
21
0.997992
19.91799533
19.918
(correct to 5 sig. figs)
25
-5.082
0.9930
Average
18.1592
18.159 (correct to 5 sig. figs)
21
0.997992
18.3958
18.396
(correct to 5 sig. figs)
25
Not stated
0.98506
0.9851
(correct to 5 ig. figs)
Standard
Deviation
(use formula for s given above)
1.038641
1.0386
(correct to 5 sig. figs)
Not stated
Not stated
0.819457
0.8194
(correct to 5 sig. figs)
Not stated
Not stated
0.010106
0.1011
(correct to 5 sig. figs)
Value if stated with correct sig. figs based on uncertainty
18.159
1.039
Not stated
Not stated
18.396
0.819
Not stated
Not stated
0.9851
0.1011
a) Average Volume Measured = 18.3960.819 mL.
b) The accepted uncertainty is 0.5 while the measured uncertainty is 0.819 mL; therefore, the measured value is less accurate or more faulty.
Run
Mass (g)
Temperature (°C)
Density from literature at T
Vmeasured
(Mass/density
from literature) (mL)
Vattempted (mL)
Vmeasured - Vattempted (mL)
Density (g/mL)
1
18.363
21
0.997992
18.39994709
18.400 (correct to 5 sig.figs)
25
-6.600
0.9962
2
17.564
21
0.997992
17.59933947
17.599
(correct to 5 sig. figs)
25
-7.401
0.9673
3
16.733
21
0.997992
16.76666747
17.767
(correct to 5 sig. figs)
25
-8.233
0.9825
4
18.258
21
0.997992
18.29473583
18.295
(correct to 5 sig. figs)
25
-6.705
0.9863
5
19.878
21
0.997992
19.91799533
19.918
(correct to 5 sig. figs)
25
-5.082
0.9930
Average
18.1592
18.159 (correct to 5 sig. figs)
21
0.997992
18.3958
18.396
(correct to 5 sig. figs)
25
Not stated
0.98506
0.9851
(correct to 5 ig. figs)
Standard
Deviation
(use formula for s given above)
1.038641
1.0386
(correct to 5 sig. figs)
Not stated
Not stated
0.819457
0.8194
(correct to 5 sig. figs)
Not stated
Not stated
0.010106
0.1011
(correct to 5 sig. figs)
Value if stated with correct sig. figs based on uncertainty
18.159
1.039
Not stated
Not stated
18.396
0.819
Not stated
Not stated
0.9851
0.1011
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