Error In Measuring Cylinder
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error'). Experimental uncertainty arises because of: Limits in the how exact the measuring apparatus is. This is the measuring cylinder sizes precision of the apparatus. Imperfections in experimental procedures. Judgements made by the measuring cylinder uncertainty operator. When can my results be said to be precise? If you repeat a measurement several times measuring cylinder bore and obtain values that are close together, your results are said to be precise. If the same person obtains these close values, then the experimental procedure is repeatable. If a
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number of different people carry out the same measuring procedure and the values are close the procedure is reproducible. What is a systematic error? A systematic error is one that is repeated in each measurement taken. If this is realised after the experimental work is done, it can be taken into account in any calculations. What are random errors? measuring volume cylinder Even the most careful and experienced operator cannot avoid random errors. However, their effect can be reduced by carrying out a measurement many times (if the opportunity exists) and working out an average value. Let's look in more detail at 'built-in' uncertainty of some laboratory equipment... Some measurement uncertainties are given below: EquipmentMeasurement to the nearest: Balance (1 decimal place)0.08 g Balance (2 decimal place)0.008 g Balance (3 decimal place)0.0008 g Measuring Cylinder (25 cm3)0.5 cm3 Graduated Pipette (25 cm3, Grade B)0.04 cm3 Burette (50 cm3, Grade B)0.08 cm3 Volumetric Flask (250 cm3, Grade B)0.2 cm3 Stopwatch (digital)0.01 s Calculating the percentage uncertainty (often called percentage error) ... Now try calculating the following percentage uncertainties... 1.00 g on a 2 decimal place balance 10.00 g on a 2 decimal place balance 1.00 g on a 3 decimal place balance 10 cm3 in a 25 cm3 measuring cylinder 25 cm3 in a 25 cm3 measuring cylinder 25 cm3 in a 25 cm3 graduated pipette (Grade B) 25 cm3 in a 50 cm3 burette (Grade B)
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global hierarchy Home Core Analytical Chemistry Quantifying Nature Expand/collapse global location Uncertainties in Measurements Last updated 11:37, 3 Sep
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2015 Save as PDF Share Share Share Tweet Share IntroductionSystematic vs. Random ErrorA Graphical RepresentationPrecision vs. AccuracyCalculating ErrorMethods of Reducing ErrorReferencesProblemsSolutions All measurements have a degree of uncertainty regardless of precision http://www.avogadro.co.uk/miscellany/errors.htm and accuracy. This is caused by two factors, the limitation of the measuring instrument (systematic error) and the skill of the experimenter making the measurements (random error). Introduction The graduated buret in Figure 1 contains a certain amount of water (with yellow dye) to be measured. The amount of water is somewhere between 19 ml and 20 ml according to the marked lines. http://chem.libretexts.org/Core/Analytical_Chemistry/Quantifying_Nature/Significant_Digits/Uncertainties_in_Measurements By checking to see where the bottom of the meniscus lies, referencing the ten smaller lines, the amount of water lies between 19.8 ml and 20 ml. The next step is to estimate the uncertainty between 19.8 ml and 20 ml. Making an approximate guess, the level is less than 20 ml, but greater than 19.8 ml. We then report that the measured amount is approximately 19.9 ml. The graduated cylinder itself may be distorted such that the graduation marks contain inaccuracies providing readings slightly different from the actual volume of liquid present. Figure 1: A meniscus as seen in a burette of colored water. '20.00 mL' is the correct depth measurement. Click here for a more complete description on buret use, including proper reading. Figure used with permission from Wikipedia. Systematic vs. Random Error The diagram below illustrates the distinction between systematic and random errors. Figure 2: Systematic and random errors. Figure used with permission from David DiBiase (Penn State U). Systematic errors: When we use tools meant for measurement, we assume that they are correct and accurate, however measuring tools are not always right
complete certainty. There is no error or uncertainty associated with these numbers. Measurements, however, are always accompanied by a finite amount of error or uncertainty, which http://chemed.chem.purdue.edu/genchem/topicreview/bp/ch1/errors.html reflects limitations in the techniques used to make them. There are two sources of error in a measurement: (1) limitations in the sensitivity of the instruments used and (2) imperfections in the techniques used to make the measurement. These errors can be divided into two classes: systematic and random. Tutorial on Uncertainty in Measurement from Systematic Errors Systematic error can be caused by an measuring cylinder imperfection in the equipment being used or from mistakes the individual makes while taking the measurement. A balance incorrectly calibrated would result in a systematic error. Consistently reading the buret wrong would result in a systematic error. Random Errors Random errors most often result from limitations in the equipment or techniques used to make a measurement. Suppose, for example, that you wanted to error in measuring collect 25 mL of a solution. You could use a beaker, a graduated cylinder, or a buret. Volume measurements made with a 50-mL beaker are accurate to within ±5 mL. In other words, you would be as likely to obtain 20 mL of solution (5 mL too little) as 30 mL (5 mL too much). You could decrease the amount of error by using a graduated cylinder, which is capable of measurements to within ±1 mL. The error could be decreased even further by using a buret, which is capable of delivering a volume to within 1 drop, or ±0.05 mL. Practice Problem 6 Which of the following procedures would lead to systematic errors, and which would produce random errors? (a) Using a 1-quart milk carton to measure 1-liter samples of milk. (b) Using a balance that is sensitive to ±0.1 gram to obtain 250 milligrams of vitamin C. (c) Using a 100-milliliter graduated cylinder to measure 2.5 milliliters of solution. Click here to check your answer to Practice Problem 6 Units | Errors | Significant Figures | Scientific Notation Back to General Chemistry Topic Review
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