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May 21, 2024
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XPERIMENT 1 Statistics and Data Processing Purpose: The goal of this experiment is to familiarize yourself with the practice of calibrations, limit of detection, limit of quantification and measurement uncertainty calculation through error propagation. The methods you learn in this lab are to be used for all other Chem 312 labs. Theory: All of the experiments you will be doing in this course will require some form of data analysis. Measurements performed in the laboratory always contain a certain amount of uncertainty (noise or random error, systematic will be considered worthless in this course. The theory you need to know to write your lab report (see “Calculations” Section) is available in the “
Statistics and Data Analysis” package available from the Moodle site. This material should also have been covered, in part or in whole, in your class. Your textbook has an extensive chapter on statistics, and introductory statistics are nicely presented in Harris’ textbook (see References for details). NOTE: Check-
out the worked example in the “
Statistics and Data Analysis” package available from the Moodle site. You should reproduce this worked example to test to see if you are doing your calculations correctly then move onto the data provided for this lab! Materials, chemicals and instruments: •
Set of data •
Spreadsheet program (Excel or other) Procedure: Solution(s) preparation: N/A
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XPERIMENT 1: Statistics and Data Processing 12 Measurements: Your dataset will be provided on Moodle. This data represents typical measurements that you will encounter in many of the labs in 312. If you develop your spreadsheet carefully you will be able to reuse it for all of the other experiments! Calculations: (before beginning these, READ THE STATS MANUAL) Use a 95% confidence level for all tests performed, unless otherwise specified. 1) Plot your calibration data (signal vs concentration). Do not forget to title your graph and your axes. Be 2) A to E using a G or Q test. 3) Examine your calibration data points. Are some of them potential outliers? Would you eliminate them? Why or why not? 4) Perform a linear regression on the calibration data to obtain the calibration coefficients (slope, intercept, and error –
Excel will provide many parameters, report only those you use in the calculations below). 5) Calculate the detection and quantification limits (see book for definitions). Do not forget to include units in your calculations and results. 6) Calculate the concentrations of samples A to E, including appropriate confidence intervals. (This is your best estimate of where the “true” value sits. See the example in the stats manual. This is more than just the value +/- the std. dev.) 7) Is there a significant difference between the concentrations (not the signals) of samples C and D? Careful here, we are really asking is there a difference between this small group and that small group? At what level of confidence does the difference become significant (there is a specific Excel function for calculating this)? 8) Compare the concentration of sample E that you have calculated against “the known” concentration given to you in the data set. Are they different? At what level of confidence do they become the same/different? 9) Test for outliers in samples A to E using a G or Q test. 10) ? 11) Compare the concentration of sample E that you have calculated against the "known" concentration given in the data set. Are they different? At what level of confidence do they become the same/different? 12)
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XPERIMENT 1: Statistics and Data Processing 13 Lab report: Abstract, introduction (2023: Not required), results, discussion and references sections are required for this lab report. For the “Experimental” section of your lab report, simply write that it does not apply here.
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XPERIMENT 1: Statistics and Data Processing 14 Hand in your original data in your report. Send your spreadsheet(s) used for calculations to your TA. 1) Clearly explain the purpose of each test you have carried and which conclusion(s) you have reached after performing each of them. eliminate them? Why or why not? 2) Perform a linear regression on the calibration data to obtain the calibration coefficients. 3) Calculate the detection and quantification limits. 4) Calculate the concentrations of samples A to E, including appropriate confidence intervals. Is there a significant References: 1. Harris DC. Experimental Error. In: Quantitative Chemical Analysis
. 7th ed. New York: W. H. Freeman; 2007:39
–
52.
2. Analysis
, Concordia University: Montréal, 2012
Related Questions
How is accuracy and precision related to errors incurred in the chemical analysis?
Why systematic errors are also called determinate errors?
Why random errors are also called indeterminate errors?
Give two examples of each of the following sources of errors.
a. Instrumental error
b. Personal error
c. Method/operational error
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3. A method of analysis yields masses of gold that are low by 0.4 mg. Calculate the percent relative error caused by this result if the mass of gold in the sample is
a. 500 mg
b. 250 mg
c. 60 mg
4. The method described above is to be used for the analysis of ores that assay about 1.2%
gold. What minimum sample mass should be taken if the relative error resulting from a 0.4-mg loss is not to exceed
a. -0.1%
b. -0.8%
arrow_forward
7.
22 This question is about several salts.
(a) A hydrated salt, compound A, is analysed and has the following percentage composition by
mass:
Cr, 19.51%; CI, 39.96%; H, 4.51%; O, 36.02%.
Calculate the formula of compound A, showing clearly the water of crystallisation.
Show your working.
formula of compound A =
(b) A student carries out an experiment to determine the amount of water of crystallisation in
the formula of another hydrated salt. The student intends to remove the water by heating the
hydrated salt.
A diagram of the apparatus used by the student is shown below.
crucible
pipeclay triangie
The student adds the hydrated salt to the crucible and weighs the crucible and contents.
The student heats the crucible and contents and allows them to cool.
The student weighs the crucible and residue.
The student's results are shown below.
16,84
Mass of crucible + hydrated salt/g
16.26
Mass of crucible + residue after heating/g
arrow_forward
4.
(Also can you explain what is meant by determinant error)
arrow_forward
Suppose you prepared a plot for this experiment and the equation of the trendline was y = 78.012x+0.01251 Based on this information, what would be the absorbance of the solution if the concentration is 0.009697 M?
DO NOT include units in your answer.
Follow sig. fig. rules as you perform your calculations, but DO NOT round your answer until the very end of your calculation. Credit will only be given for answers that have the correct value and significant figures.
arrow_forward
What are replicates in Analytical Chemistry?
O The component of a sample that repeats over different assays.
Similar assays done to different samples
A sample that contains exactly the same amount of analytes than the original sample
similar samples that are analyzed at the same time and in the same way
arrow_forward
What does the phrase 'fit for purpose' mean in relation to analytical chemistry? Please provide examples too.
arrow_forward
In analytical chemistry, what is a standard method? Include any sources you used to answer this
question. Give an example of a standard method, and the reference for it.
2.
arrow_forward
tributi X
Normal Distributi X
ample Work
rmat Tools Extensions Help
locument/d/1KWoB0hrXolu7UEKbq4f8LBMHfpjHBRVU3qUzVI7K80U/edit
Saved to Drive
Normal text
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2022-2023 Mr. R X
-
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▼ | Calibri
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11. Which quantity is used to define 1 atomic mass unit?
3
100
Copy of Chern B x
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4
5
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particles.
12. How many molecules are there in 2 g of water (H₂O)? HINT: Molar mass of water is 18 g/mol
Pathway: mass → moles → molecules
E
Did You Know?
The word mole represents a specific number of objects, 6.022 × 10²¹ , just as the word dozen represents a
specific number of objects, 12.
The molar mass is the mass of a substance that contains 6.022 × 10²¹
DC Normal
DE VE E
127
64°F Mos
arrow_forward
4. Experimental Procedure.
a. How many (total) data plots are to be completed for this experiment? Account for each.
b. What information is to be extracted from each data plot?
arrow_forward
The mass of magnesium used in this experiment is critical to determining the moles of
hydrogen gas generated. The analytical balances used in Chemistry 1A labs are very sensitive
to point that touching materials with your fingers before measuring them can affect the
measurements. The balances are sensitive enough to detect dirt and oils from your fingers
transferred to the magnesium. Would your experimental value of R increase or decrease if
the mass of magnesium measured was artificially high due the touching it with your hands?
Increase
Decrease
arrow_forward
C
arrow_forward
Which scale is most useful for reporting data from the spectrometer? Why?
arrow_forward
?
1. 03
2. DMS
Br₂, DCM
KMnO4,
Hot
?
X2
arrow_forward
Explain your rationale for using the summative assessment (below) from the lesson plan on mixing substances in a 5th-grade classroom based on the below standard and learning objective, including how it aligns with the learning objective.
Summative Assessment
Summative:
Components of the Lab Report
Purpose: The student should clearly state the purpose of the experiment, which is to determine whether the mixing of two or more substances results in new substances.
Procedure: The student should describe the steps they took to conduct the experiment. This includes the substances they chose to mix and the safety equipment they used.
Observations: The student should record any observable changes that occurred when the substances were mixed. This could include a color change, the formation of a precipitate, or a change in temperature.
Conclusion: The student should state whether a new substance was formed based on their observations. They should also reflect on their accuracy in…
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Average and Uncertainty
The molar mass of an unknown compound was determined in three repeat experiments. The molar masses obtained were 82.23,
81.55 and 82.00 g/mol.
Assume the uncertainty in the average value to be the half range.
Enter the average value and its uncertainty, both rounded to the appropriate number of digits (according to the Rules outlined in
the Chem121 Lab Manual Appendix).
g/mol
arrow_forward
An oceanographer creates a model of a wave tank with a sand table to simulate beach erosion. What type of model is being used?
7
O statistical model
O mathematical model
O conceptual model
O physical model
arrow_forward
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Related Questions
- How is accuracy and precision related to errors incurred in the chemical analysis? Why systematic errors are also called determinate errors? Why random errors are also called indeterminate errors? Give two examples of each of the following sources of errors. a. Instrumental error b. Personal error c. Method/operational errorarrow_forward3. A method of analysis yields masses of gold that are low by 0.4 mg. Calculate the percent relative error caused by this result if the mass of gold in the sample is a. 500 mg b. 250 mg c. 60 mg 4. The method described above is to be used for the analysis of ores that assay about 1.2% gold. What minimum sample mass should be taken if the relative error resulting from a 0.4-mg loss is not to exceed a. -0.1% b. -0.8%arrow_forward7. 22 This question is about several salts. (a) A hydrated salt, compound A, is analysed and has the following percentage composition by mass: Cr, 19.51%; CI, 39.96%; H, 4.51%; O, 36.02%. Calculate the formula of compound A, showing clearly the water of crystallisation. Show your working. formula of compound A = (b) A student carries out an experiment to determine the amount of water of crystallisation in the formula of another hydrated salt. The student intends to remove the water by heating the hydrated salt. A diagram of the apparatus used by the student is shown below. crucible pipeclay triangie The student adds the hydrated salt to the crucible and weighs the crucible and contents. The student heats the crucible and contents and allows them to cool. The student weighs the crucible and residue. The student's results are shown below. 16,84 Mass of crucible + hydrated salt/g 16.26 Mass of crucible + residue after heating/garrow_forward
- 4. (Also can you explain what is meant by determinant error)arrow_forwardSuppose you prepared a plot for this experiment and the equation of the trendline was y = 78.012x+0.01251 Based on this information, what would be the absorbance of the solution if the concentration is 0.009697 M? DO NOT include units in your answer. Follow sig. fig. rules as you perform your calculations, but DO NOT round your answer until the very end of your calculation. Credit will only be given for answers that have the correct value and significant figures.arrow_forwardWhat are replicates in Analytical Chemistry? O The component of a sample that repeats over different assays. Similar assays done to different samples A sample that contains exactly the same amount of analytes than the original sample similar samples that are analyzed at the same time and in the same wayarrow_forward
- What does the phrase 'fit for purpose' mean in relation to analytical chemistry? Please provide examples too.arrow_forwardIn analytical chemistry, what is a standard method? Include any sources you used to answer this question. Give an example of a standard method, and the reference for it. 2.arrow_forwardtributi X Normal Distributi X ample Work rmat Tools Extensions Help locument/d/1KWoB0hrXolu7UEKbq4f8LBMHfpjHBRVU3qUzVI7K80U/edit Saved to Drive Normal text I 2022-2023 Mr. R X - I ▼ | Calibri 1 16 11. Which quantity is used to define 1 atomic mass unit? 3 100 Copy of Chern B x I UA 4 5 hp 4/27 - Unit 5.mp4 X particles. 12. How many molecules are there in 2 g of water (H₂O)? HINT: Molar mass of water is 18 g/mol Pathway: mass → moles → molecules E Did You Know? The word mole represents a specific number of objects, 6.022 × 10²¹ , just as the word dozen represents a specific number of objects, 12. The molar mass is the mass of a substance that contains 6.022 × 10²¹ DC Normal DE VE E 127 64°F Mosarrow_forward
- 4. Experimental Procedure. a. How many (total) data plots are to be completed for this experiment? Account for each. b. What information is to be extracted from each data plot?arrow_forwardThe mass of magnesium used in this experiment is critical to determining the moles of hydrogen gas generated. The analytical balances used in Chemistry 1A labs are very sensitive to point that touching materials with your fingers before measuring them can affect the measurements. The balances are sensitive enough to detect dirt and oils from your fingers transferred to the magnesium. Would your experimental value of R increase or decrease if the mass of magnesium measured was artificially high due the touching it with your hands? Increase Decreasearrow_forwardCarrow_forward
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