how to create a calibration curve in excel how to create a calibration curve in excel

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how to create a calibration curve in excelBy

Jul 1, 2023

To be completely accurate, the standard samples should be run in the same matrix as the unknown sample. It will be best if you get appropriate headings for the data columns. Remember to include borders, row/column headings, and a title. Generally, a set of standard samples are made at various concentrations with a range than includes the unknown of interest and the instrumental response at each concentration is recorded. Newer Post Older Post We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. You do not need to change the pipet tip. We can accept the quadratic fit as an This page titled Excel Part 3Constructing a Titration Curve is shared under a CC BY-NC-SA 4.0 license and was authored, . The output should be an equation in the form y = m x + b. Wherewith for Do ampere Calibration Curve in Excel | Techwalla Into our example, the x- values will present the industry, while the y-values want be our reply. The calibration curve can be used to calculate the limit of detection and limit of quantitation. Use the same sample matrix and measurement conditions as were used for the standards. Here is a COMPREHENSIVE guide to help you understand the concept furthermore whereby to use it. Mix carefully and release all liquid. This five-fold serial dilution would have concentrations of 100%, ______% in first diluted tube, _____% in second diluted tube, ________% in third diluted tube. The first step is to generate a standard curve in Excel, and then we will show you how to calculate unknown concentration. Graph the absorbency versus the calculated known concentrations for all samples. Then the first 1:10 dilution tube would have a concentration of 400/10 = __________, Then the second 1:10 dilution would have a concentration of ____________. For more detail on this technique, please watch the JoVE science education video, "The method of standard addition". The different parts of the . The responses level off after 10 M, when the absorbance is over 1. . at flux equal 90. in order to determine an appropriate model. You are solving the equation for X, the concentration. What is a standardisation curve in Excel, and wherefore is it important? deviation. in Excel and insert these values in the formula for R. 4. The LibreTexts libraries arePowered by NICE CXone Expertand are supported by the Department of Education Open Textbook Pilot Project, the UC Davis Office of the Provost, the UC Davis Library, the California State University Affordable Learning Solutions Program, and Merlot. If the problem continues, please, An unexpected error occurred. The range of concentrations of the calibration curve should bracket that in the expected unknown sample. This was done for a Beer's Law plot with Absorbance vs. For this case study, we will use the quadratic model Record this absorbency. Transfer 100 L of the mixture into the next well (A3). The data were collected with an ion-selective electrode for fluoride. 2. We plot the data in order to determine an appropriate model. Please check your Internet connection and reload this page. Grundlagen der analytischen Chemie. A perfect line would have an R2 value of 1, and most R2 values for calibration curves are over 0.95. Student Learning Outcomes: Transfer 50 L of the mixture into the next well (B2). a violation of the assumption of constant location for the The generation of the titration curve is a feature of Excel. The increase is particularly notable 2023 Leaf Group Ltd. / Leaf Group Media, All Rights Reserved. These solutions consist of a range of concentrations that encompass the approximate concentration of the analyte. It is important to use the same solvent as the sample. After that, we will use the pH and volume of titrant information to construct the titration curve. Bitte geben Sie Ihre institutionelle Emailadresse ein, um Ihren Zugriff zu berprfen. Calculate the LOD. Now that you've learned the basics of a calibration curve, let's see how to prepare and use one in the laboratory. Go to the "Insert" tab. Thus, a measured value of 75.0, for example, would adjust to y = 1.05(75) + 0.2 = 78.9. For the standard curve, this value measures how strong the linear relationship is between the reagent concentration (X-axis) and the absorbance value (Y-axis). We will use a microplate with 96 wells, so that you can perform all of your serial dilutions onto one plate and scan the entire plate with the microplate reader once. The plot of the standards should be linear, and can be fit with the equation y=mx+b. The R-squared value (R2) is the correlation coefficient or the square of the correlation. Why is it that the functions you wrote for the initial points are the only ones you need for the pre-equivalence phase? The process of determining the best equation for the calibration curve is called linear regression. Legal. We recommend downloading the newest version of Flash here, but we support all versions 10 and above. The second 1:10 dilution tube would have a _____ % concentration. Push the button to open the microplate reader and expose the microplate loading platform. JoVE, Cambridge, MA, (2023). The precision and accuracy of the measurements are dependent on the calibration curve. Prepare standard solution contains all components. You can type the value for four of these in the cell to the right of the label: 50.00 in cell B3, 0.1000 in cell B4, 0.1000 in cell B6, and 1.00E-14 in cell D3. Use one pipet tip for each serial dilution. upper right corner does not show significant Pipet 100 L of DI-water into the first 5 wells of row A (A1-A5). There are several approaches we can take towards We determine the formula for the best fit. Calibration curves for UV-Vis absorbance of blue dye. . Run the standards in random order, in case there are any systematic errors. Read the absorbency of the unknown concentration solution on the spectrophotometer. The better the curve the more accurate the answer, the worse the curve the worse the accuracy. What determines the pH? The mmol NaOH (which will be the same at each point in the titration) must nevertheless be calculated, so enter the function needed for this value in cell B5. This example uses a spectrophotometer. The unknown data is shown in black. Using an Excel spreadsheet, calculate the pH of the solution after the addition of 0.00, 10.00, 25.00, 40.00, 45.00, 49.00, 49.50, 50.00, 50.50, 51.00, 55.00, 60.00, 75.00, and 90.00 mL of titrant; and then prepare a titration curve from the data. corner and the normal probability plot in the lower . Choose " Scatter ." 5. Make sure that the sample is within the range of the standards and the limit of the instrument. The units for the slope are the y-axis unit/concentration, in this example (, The calibration curve for absorbance of blue dye #1 (at 631 nm) is shown below (. Transfer 100 L of the mixture into the next well (A5). Or estimate from the line graph. Excel, but similar information is obtained from other software. Please click here to view a larger version of this figure. How to plot calibration curve in excel step by step. The actual equation is y=-57.4*log x +56.38. Now that you've seen how a calibration curve can be used with a UV-Vis spectrophotometer, let's take a look at some other useful applications. Transfer 40 L of the mixture into the next well (C2). Then the first 1:10 dilution tube would have a _____ % concentration. This video shows how you can use Excel to make a simple calibration curve. The instrument response is measured for each, and plotted vs. concentration of the standard solution. Problem 4. Measure the absorbance of solutions with a microplate reader. use weighting or transformations in developing the calibration Select linear (trendline) and in options (top menu) select "Display equation and R2" The result is the calibration curve, and equation. Determine the absorbance values of each sample. You should arrange your data in pairs and enter one pair to a row with the values in adjacent columns. The data are then fit with a function to enable the prediction of unknown concentrations. Our goal is to make science relevant and fun for everyone. Transfer 50 L of the mixture into the next well (B5). JoVE, Cambridge, MA, (2023). Mix carefully and release all liquid. Mix carefully and release all liquid. This fit is performed using the equations described and listed on http://terpconnect.umd.edu/~toh/spectrum/CurveFitting.html . Mix carefully and release all liquid. The same equation with all the variables labeled is shown in Figure 1.5.3. High-performance liquid chromatography, or HPLC, is a separation and analysis technique that is used heavily in analytical chemistry. Left: The absorbance was measured of different concentrations of blue dye #1. Push the button to close the microplate reader. Ein JoVE-Vertreter wird sich in Krze mit Ihnen in Verbindung setzen. Run the samples with the UV-Vis spectrophotometer to determine the instrumental response needed for the calibration curve. Standard solutions are often prepared with a serial dilution. upper left corner shows a non-random pattern and it shows If the readings are too high, dilution might be necessary. Continue as needed for more dilutions, pipetting from the previous solution to dilute it to make the next sample. As PhD students, we found it difficult to access the research we needed, so we decided to create a new Open Access publisher that levels the playing field for scientists . Does it have a portion that looks non-linear (, The output of the linear should be an equation of the format y=mx+b, where m is the slope and b is the y-intercept. Create a series of solutions of decreasing concentrations via serial dilutions. In this video, you will learn how to Generate a Standard Curve and determine Unknown Concentrations in Excel by a Simple Method. Examine the calibration curve. (We have already talked about the volume of titrant required to reach the equivalence point.) Right: The linear portion of the calibration curve is fit with a line, y=0.109*x + 0.0286. Figure 2. This 4-plot reveals serious violations of the regression Please click here to view a larger version of this figure. Wenn Sie sofortige Hilfe bentigen, senden Sie uns bitte eine E-Mail an subscriptions@jove.com . The expected equation for the electrode response is y (in mV)=-59.2*log x+b at 25 C. Step 1: Open the Data Source In the first step, you should open the Excel workbook that contains the known values that you want to plot on the calibration curve. Lets say that you want to titrate a 50.00 mL aliquot of 0.1000 M NaOH with a 0.1000 M solution of HCl and then construct the resulting titration curve. Calculate the LOQ. Thus, care must be taken when making the initial solution. An example of an electrochemistry calibration curve is shown below (Figure 2). The table above is readily available from Excel whenever you create a calibration curve and use the LINEST function. A blank sample is measured multiple times. A calibration curve is an empirical equation that relates the response of a specific instrument to the concentration of a specific analyte in a specific sample matrix (the chemical background of the sample). First, select the 'X-Value' column cells. What your a calibration characteristic at Excellent, and why a this important? Then make sure that you released all liquid into the first well. The precision and accuracy of the measurements are dependent on the calibration curve. sx = sy | m | 1 k + 1 n + (y y)2 m2 n i = 1(xi x)2. This plot indicates that a linear model might be approriate. Here is a COMPREHENSIVE leader toward help you realize that concept real how to application it. From there, we're able to calculate the. Sie haben bereits eine Testversion angefordert und ein JoVE-Vertreter wird sich in Krze mit Ihnen in Verbindung setzen. Calibration curve is a regression model used to predict the unknown concentrations of analytes of interest based on the response of the instrument to the known standards. Close the lid of the spectrophotometer and press the zero button. You should now understand where the calibration curve is used, how to create it, and how to use it to calculate concentrations of samples. Outside this range, the response may taper off due to instrumental considerations, and the equation from the calibration cannot be used. points as outliers. This is calculated as 10 standard deviations above theblank signal. Typically, the compound is accurately weighed out and then quantitatively transferred into a volumetric flask. Once the machine is zeroed read the samples in the same way. This ensures that all wells C1-C5 have the same volume. Legal. Let we say your sample contain Glucose, Galactose and HMF. To do this, go to Insert > Charts > Line Chart and select "Line with Markers" as your chart type. With serial dilutions, a concentrated sample is diluted down in a stepwise manner to make lower concentrations. Add a small amount of solvent, and mix so that the sample dissolves. Calibration curves are used to understand the instrumental response to an analyte and predict the concentration in an unknown sample. Alle Rechte vorbehalten. Choose " Linear ." We plot the data Calculate zero & span In some cases, where the solution matrix interferes with the measurement of the solute, a classical calibration curve can be inaccurate. In the example from step 2, y = 1.05x + 0.2. 2. Create the graph y vs. x to see what this relationship looks like, and insert this graph into your spreadsheet. Note that theres nothing in columns C and G at this point. If you would like to continue using JoVE, please let your librarian know as they consider the most appropriate subscription options for your institutions academic community. residuals. First, select the cells in the 'Value X' column. 6. Among the methods used to validate analytical methods, such as serial dilutions, computing LOD and LOQ via a calibration curve in MS Excel is more accurate and reliable. You will learn how to create this table in CHEM 316, but you need to know how to use the data in it for this class. Take the measurement of the first standard. Mix carefully and release all liquid. It also shows that the replicated points show very little Wir knnen diese Informationen verwenden, um Ihnen Benachrichtigungen ber Ihr Konto, Ihren institutionellen Zugang und / oder andere verwandte Produkte zu senden. On the Insert tab, click on the Scatter icon and select Scatter with Straight Lines and Markers from its drop-down menu to generate the standard curve. Calibration curves are used in many fields of analytical chemistry, biochemistry, and pharmaceutical chemistry. The response is linear between 0 and 15 mM. Science How to Create Calibration Curves Updated April 24, 2017 By Liz Tomas Calibration curves are used to determine the concentration of unknown substances based on previous measurements of solutions of known concentrations. curve to predict the concentration of Z in solution S1. Thing be a calibration curve the Excel, and why is it important? Transfer 100 L of the mixture into the next well (A6). X. The concentration factor is the initial volume divided by the final solution volume; the dilution factor would be the inverse of the concentration factor. adequate fit. Transfer 40 L of the mixture into the next well (C6). At the equivalence point, all of the analyte has reacted with the titrant; none of the reactants remain. Record the data to make a plot later. Use the line equation to calculate the concentration of the unknown sample. The limit of detection is generally defined as the average blank signal plus 3 times its standard deviation. For a good calibration curve, at least 5 concentrations are needed. The stock solution is then diluted by a known amount, often one order of magnitude. Take a photo of the computer screen and note the Absorbance data in the tables below. If that doesn't help, please let us know. Notice that as the titration proceeds, the mmol OH-1 will decrease because of neutralization of the NaOH and dilution of the original solution. The non-linear portions of the plot should be discarded, as these concentration ranges are out of the limit of linearity. When the randomness assumption is violated, the Unknowns must be provided with different samples in columns, replicate measurements in rows. Then make sure that you released all liquid into the first well. Alternatively, in one trace, noise can be estimated as the standard deviation of the baseline. uncertainties of the predicted values, We can use weighting where Think about the things we need to know for each phase: Enter the following labels: mmol NaOH in cell C8, mmol HClexcess in D8, Vtotal, mL in cell E8, [OH-1] in cell F8, [H3O+] in cell G8, pOH in cell H8, and pH in cell I8. \[\text{concentration factor}= \dfrac{\text{volume}_{\text{initial}}}{\text{volume}_{\text{final}}}\nonumber\], \[\text{dilution factor}= \dfrac{1}{\text{concentration factor}}\nonumber\]. It is possible to delete one of the two points for each dilution to get the best regression line. Use as similar conditions to running the standards as possible. Excel functions are built-in formulas that perform frequent . Which is one calibration curve in Excel, and why is it important? This gives us our mV/V at each of the pressure test points. The signal to concentration plot is created, where the x intercept is equal to the original concentration of the sample solution. It is typical to do a 10 times dilution, 20 times dilution, 30 times dilution or some other step wise solution. Figure 1. Preparing Two-Fold Serial Dilution (Dilution Factor of Two), Preparing Four-Fold Serial Dilution (Dilution Factor of Four), Preparing Five-Fold Serial Dilution (Dilution Factor of Five). (Remember to format the cells for the correct number of digits past the decimal. Assume the original sample used in Figure is considered 100% concentration. Mix carefully and release all liquid. The unknown absorbency is substituted as Y in the equation. Procedure: Part III: Standard Curves Introduction Activity A: Making a Standard Curve for Each Serial Dilution Activity B: Determining the Concentration of "Unknown" Samples Study Questions Learning Objectives Goals: Perform several serial dilutions. Transfer 50 L of the mixture into the next well (B3). When the calibration curve is linear, the slope is a measure of sensitivity: how much the signal changes for a change in concentration. This means that we may need to The response of a fluoride selective electrode (in mV) to different concentrations of fluoride is plotted. JoVE, Cambridge, MA, (2023). More. Liz Tomas began writing professionally in 2004. Drag them down through the rows that correspond to the pre-equivalence phase (but no farther). Mix carefully and release all liquid. In this example, data were collected for an ion-selective electrode for fluoride. Since your standard curves are generated from the serial dilutions you pipetted, the R2 values can also show how accurate your pipetting skills are. This time varies depending on a range of chemical properties of the molecules. The most important part of making a calibration curve is to make accurate standard samples that are in a matrix that closely approximates the sample mixture. The original dye is 100% concentration. The purpose of this video is to demonstrate how we can use Microsoft Excel to plot and properly format at calibration data.Other videos in this series:Lesson. that the residuals have a strong autocorrelation, which (Optional) You can scan the plate with no liquid, to find out the baseline absorbance of the plastic. The peak area can be correlated to concentration using a simple calibration curve of a range of standard solutions, like in this example of popular soda ingredients. Using a serial dilution, describe how you would prepare 10 mL of 1.0%, 0.1% and 0.01% solutions of NaOH. The advantage is that only one initial solution is needed. A linear equation (y=mx + b) is obtained. Do each dilution twice so that all samples are in duplicate. The next sample is made from the previous dilution, and the dilution factor is often kept constant. We will use what we learned there to construct the functions that will ultimately calculate the pH. Calibration Curves. Genieen Sie eine kostenlose 2-stndige Testversion. This is the point of doing each dilution in duplicate. You've just watched JoVE's introduction to the calibration curve. Step 1: Open Data Source Image Credit: Ron Price To create series with different intervals, simply change the first two numbers. For this calibration curve, the noise was obtained by taking a standard deviation of repeated measurements and was 0.021. For more accuracy and to understand the error, the response at each concentration can be repeated so an error bar is obtained. normal probability plot indicate that the residuals are Grundlagen der analytischen Chemie. That means that the second diluted tube has a concentration of _________, The first diluted tube has a concentration of ________, The original tube has a concentration of _______. distributional plots (the histogram in the lower left A ten-fold dilution is typically made, so for a 10-mL volumetric flask, add 1 mL of the previous dilution. construct a calibration curve and then use the. Measure the rest of the standards, repeating the measurements for each. Another method for making many different concentrations of a solution is to use serial dilutions. To make a serial dilution with a dilution factor of 5, you would need to add 1 part of the reagent plus ___ parts of water to make a total of 5 parts. Problem 3. violates the assumption of randomness for the residuals. The model equation is A = slope * C + intercept. The curve is created from the instrumental response to a set of standard samples at a range of concentrations. Ein Abonnement fr JoVE ist erforderlich, um diesen Inhalt ansehen zu knnen.Sie sehen nur die ersten 20 sekunden. To construct the calibration curve, use a computer program to plot the data as signal vs. concentration. Evaluate the quality of the standard curve (see diagram) by using the R2 value. In those cases, a modified calibration curve is prepared. The concentration data must be plotted on the log scale to obtain a line. Typically the response is linear, however, a curve can be made with other functions as long as the function is known. that might be present in the sample. A more general form of the equation, written in terms of x and y, is given below. For this calibration curve, LOQ is 10*0.021/.109 =1.93 M. A serial dilution is performed by first preparing a stock solution of the analyte. Bitte erstellen Sie einen Account, um Zugriff auf dieses Video zu erhalten. Um zu beginnen, melden Sie bitte an. To demonstrate how to create one calibration curve in Microsoft Excel, we'll develop ten data pairs so we'll use as examples. This video will introduce calibration curves and their use, by demonstrating the preparation of a set of standards, followed by the analysis of a sample with unknown concentration. Run the unknown sample(s). Use the equation of the calibration curve to adjust measurements taken on samples with unknown values. Thank you for taking us up on our offer of free access to JoVE Education until June 15th. A steeper line with a larger slope indicates a more sensitive measurement. Navigate to the Design tab. Mix carefully and release all liquid. Specifically, the run sequence plot in the You do not need to change the pipet tip. Copyright 2023 MyJoVE Corporation. First, prepare a concentrated stock solution of the standard. Results: Calibration Curve of Absorbance of Blue Dye #1. Klicken Sie hier, um Ihre kostenlose 2-Stunden-Testversion zu aktivieren. . Print the standard curves and add to your notebook. Evaluate the quality of standard curves by their R2 value. Power ON the laptop computer and the microplate reader. Take another volumetric flask and pipette the amount of standard needed for the dilution, then fill to the line with solvent and mix. JoVE Science Education Database. Run the Samples for the Calibration Curve and the Unknown, 4. Optional inputs include a matrix of unknown measurements and whether results should be dumped to the screen or not. deviation plot shows the standard deviation increasing as the Using blue dye, you will make a 1:2 serial dilution on row A, make a 1:4 serial dilution on row B, and a 1:5 serial dilution on row C. Standard curves (also known as calibration curves) show the relationship between two quantities. The standard curves are most often used to determine the concentration of unknown samples by comparing them to reference samples with known concentrations. Calibration Curves. It is a good idea to run the samples in random order (. Calibration curves are used to determine the concentration of unknown substances based on previous measurements of solutions of known concentrations. Please check your Internet connection and reload this page. The histogram and The function takes two vectors X and Y, which must be the same length, and which contain the calibration data. Accurately weigh the standard, and transfer it into a volumetric flask. In this video, I show you how to measure the migration distance for each lane, and how to use that information in Excel to create a standard curve. With acid-base titrations, the dependent variable is the pH of the solution; and the titration curve answers the question How does the pH of the solution change with the addition of the titrant? The neutralization of a strong base with a strong acid comes to equilibrium quickly, so this titration can be done with a sigmoidal titration curve. The run sequence plot of the Samples with measurements that lie outside of the linear range of the plot must be diluted, in order to be in the linear range. 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MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", Concentration_and_Dilution : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", Concentration_Calibration_Procedures : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", Concentration_Determination : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", Data_Analysis_and_Statistics : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", "Designing_an_Acid-Base_Titration" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", Development_of_a_Sampling_Plan : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", Dilutions_and_Propagation_of_Uncertainty : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", Dilutions_and_Volumetric_Glassware : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", "Echellette_Grating_(Griffith)" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", "Echellette_Grating_(Hughey)" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", EDTA_Chelation_and_Titrations : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", Electrochemical_Cells : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", Electrochemical_Sensor_Project : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", Electrochemical_Titrations : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", Electrochemistry : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", "Electrochemistry:_Basic_Concepts" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", "Electrochemistry:_Introductory_Concepts" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", Elemental_Analysis_of_Ancient_Roman_Coins : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", Error_and_Propagation_of_Error : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", Error_and_Statistics : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", Excel_Tutorial : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", Excel_Workshop : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", External_Calibration_and_Propagation_of_Error : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", Fast_Scan_Cyclic_Voltammetry : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", "Fick\u2019s_Laws" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", Figures_of_Merit : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", Fluorescence_pH_Curve : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", Fourier_Transformation_of_Data : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", "FT-IR_Spectroscopy" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", Gas_Chromatographic_Columns : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", Gas_Chromatographic_Detectors : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", Gas_Chromatography : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", "Gas_Chromatography:_End_of_Unit_Problem_Solving" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", "GC-Electron_Capture_Detection:_Analysis_of_a_Literature_Article" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", "GC-MS:_Performance_Enhancing_Drugs" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", "GC:_Temperature_Influence" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", GC_Elution_Order : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", GC_Retention_Order : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", "Gravimetric_Analysis:_Calculations" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", "Gravimetric_Analysis_(Fry-Petit)" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", "Gravimetric_Analysis_(Heiss)" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", "Gravimetric_Analysis_(Hunter)" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", "HPLC_Case_Study:_Forensics_with_Chromatographic_Data_Set" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", HPLC_Retention_Order : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", Immunoassays : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", Internal_Standards_and_LOD : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", Internal_Standards_and_Standard_Addition : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", "Introduction_to_Analytical_Chemistry_(Fry-Petit)" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", "Introduction_to_Analytical_Chemistry_(Pompano)" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", Introduction_to_Chromatography : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", Introduction_to_Mass_Spectrometry : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", Ionic_Strength_and_Activity : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", Limit_of_Detection : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", "Liquid-Liquid_Extraction" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", "Literature_Analysis:_Mass_Spectrometry" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", "Literature_Article_Analysis:_Electrochemistry_(Pompano)" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", "Literature_Article_Analysis:_Electrochemistry_(Scott)" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", "Literature_Article_Analysis:_Fluorescence" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", "Literature_Article_Analysis:_HPLC_vs._GC-MS" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", "Literature_Article_Analysis:_Microfluidic_Field_Assays" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", Mass_and_Charge_Balances : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", Mass_Spectra_of_THMs_and_Fluorobenzene : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", "Mass_Spectrometry:_Analysis_of_a_Literature_Article" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", "Mass_Spectrometry:_Nitrogen_Rule" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", "Mass_Spectrometry:_Performance_Enhancing_Drugs" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", Mass_Spectrometry_Imaging : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", "Mass_Spectrometry_\u2013_DESI_vs_DART" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", MATHCAD_Tutorial : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", Measurements_and_Uncertainty : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", Measurement_Errors : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", Metal_Complexation_Equilibria : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", "Metal_Complexation_Equilibria_(Wenzel)" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", "Method_Validation:_Performance_Enhancing_Drugs" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", Neutralization_Reactions : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", "NMR_Spectroscopy_(Griffith)" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", "NMR_Spectroscopy_(Quinones-Fernandez)" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", Normal_Distribution_and_Statistics : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", Nyquist_Frequency : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", Partition_Coefficient_and_Chromatographic_Retention_Order : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", Penny_Statistics_with_Data_Set : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", Phytochemicals_in_Broccoli_Microgreens : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", Polyprotic_Acid : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", Polyprotic_Systems : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", Potentiometry : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", Propagation_of_Error_in_Solution_Preparation : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", Propagation_of_Uncertainty_and_Titrations : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", "Qualitative_and_Quantitative_Analysis_via_GC-MS" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", "Quantitative_Analysis:_Nuts_and_Bolts" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", Quantitative_Fluorescence : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", Recovery_Curves_and_Signal_Averaging : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", Redox_Reactions : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", Sample_Introduction_in_Gas_Chromatography : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", "Sample_Prep:_Performance_Enhancing_Drugs" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", "Sampling:_Performance_Enhancing_Drugs" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", Selection_of_Appropriate_Separation_Method : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", "Signals-to-Noise_Ratio" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", Signals_and_Noise : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", Signal_and_Noise : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", Signal_Averaging : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", "Size_Exclusion_Chromatography_(Crawford,_Kloepper)" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", "Size_Exclusion_Chromatography_(Liu)" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", SI_Units_and_Significant_Figures : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", "Solubility_and_Ionic_Strength_(Fry-Petit)" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", "Solubility_and_Ionic_Strength_(Scott)" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", "Solubility_Equilibria_(McGuire)" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", "Solubility_Equilibria_(Scott)" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", Solubility_Equilibria_and_Calculations : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", Solubility_Product : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", Solutions_Preparation_and_Dilutions : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", Spectral_Data_Set_with_Suggested_Uses : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", Standardization : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", Standard_Addition : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", "Statistics:_Excel_Exercise" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", "Statistics_(Gray)" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", "Statistics_(Mullaugh)" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", "Statistics_(Witter)" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", Statistics_in_Chemical_Analysis : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", Stock_Solution_and_Calibration_Standard_Preparation : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", "Titrimetry:_Analysis_of_Literature_Article" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", "Understanding_Radiative_Forcing:_Climate_Change" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", Use_of_Glassware : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", "UV//Vis_Spectroscopy" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()", Weak_Acid_Titration : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.b__1]()" }, Excel Part 3Constructing a Titration Curve, [ "article:topic", "Excel", "license:ccbyncsa", "licenseversion:40", "authorname:asdl" ], https://chem.libretexts.org/@app/auth/3/login?returnto=https%3A%2F%2Fchem.libretexts.org%2FAncillary_Materials%2FWorksheets%2FWorksheets%253A_Analytical_Chemistry_II%2FExcel_Tutorial%2FExcel_Part_3%25E2%2580%2594Constructing_a_Titration_Curve, \( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}}}\) \( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash{#1}}} \)\(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\) \(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\)\(\newcommand{\AA}{\unicode[.8,0]{x212B}}\), Excel Part 2Statistical Analysis: Putting the Pieces Together to Determine the Concentration of an Analyte and Evaluate the Precision of the Results, Excel Part 4Constructing a Titration Curve for a Weak Base-Strong Acid Titration.

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