The following questions are related to the measurements For the following measur
ID: 945888 • Letter: T
Question
The following questions are related to the measurements For the following measurements. Indicate the proper value to the correct number of significant digits. 2.1234 mL of a liquid is transferred to a graduated cylinder with scale marks 1 ml apart. What is the precision of the graduated cylinder? What will be the correct reading taken from the graduated cylinder? The water density was analyzed by two different groups. The results are listed below: Group 1:0.988 g/mL, 0.999 g/mL, 0.981 g/mL, 0.970 g/mL, 0.990g/mL Group 2:0.992 g/mL, 0.995 g/mL, 0.997 g/mL, 0.994 g/mL, 1.001 g/mL If the true density of water is 0.998 g/mL what are the percent error and average deviation of the results from each group?Explanation / Answer
A) The correct masurements here are,
a = 14.20 ml
b = 16.60 ml
c = 12.80 ml
B) If 2.1234 ml of liquid is measured using graduated cyllinder with 1 ml scale mark,
a) The precision of cyllinder would be +/-0.1 ml. So the cyllinder can measure one decimal more than the marked value on the cyllinder.
b) The correct value thus would be, 2.1 ml
C) Water density meaurements
Group I : Average (mean) density = sum of all density/5 = 0.9856 g/ml
a) True density = 0.998 g/ml
percent error = [(experimental density - true density)/true density] x 100
= [(0.9856 - 0.998)/0.998] x 100 = 1.24%
Average deviation : +/-0.0006 g/ml
Group II : Average (mean) density = 0.9958 g/ml
percent error = [(0.9958 - 0.9980)/0.998] x 100 = 0.22%
Average deviation = +/-0.0008 g/ml
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