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![]() الكيمياء العامه الدرس للاول القياسات -------------------------- absolute error. absolute uncertainty. Compare with relative error ![]() The uncertainty in a measurement, expressed with appropriate units. For example, if three replicate weights for an object are 1.00 g, 1.05 g, and 0.95 g, the absolute error can be expressed as ± 0.05 g. Absolute error is also used to express inaccuracies; for example, if the "true value" is 1.11 g and the measured value is 1.00 g, the absolute error could be written as 1.00 g - 1.11 g = -0.11 g. Note that when absolute errors are associated with indeterminate errors ![]() ![]() absolute temperature. Temperature measured on a scale that sets absolute zero ![]() ![]() ![]() absolute zero. ) The temperature at which the volume of an ideal gas ![]() ![]() accuracy. Compare with precision ![]() ![]() Accuracy is the correctness of a single measurement. The accuracy of a measurement is assessed by comparing the measurement with the true or accepted value, based on evidence independent of the measurement. The closeness of an average to a true value is referred to as "trueness". ampere. (A) amp. The SI ![]() ![]() ![]() Angstrom. (Å ![]() A non-SI ![]() atto-. (a) Prefix used in the SI ![]() base unit. Base units are units ![]() ![]() calibration. Calibration is correcting a measuring instrument by measuring values whose true values are known. Calibration minimizes systematic error ![]() Celsius. (°C) Celsius temperature scale; Celsius scale. A common but non-SI ![]() centi-. (c) Prefix used in the SI ![]() cgs. Compare with SI ![]() An older metric system of units that uses centimeters, grams, and seconds as base units. conversion factor. (10 in) 2.54 cmA conversion factor is a fraction that relates one unit to another. Multiplying a measurement by a conversion factor changes the units of the measurement. For example, since 1 in = 2.54 cm, to convert 10 inches to centimeters, 1 in= 25.4 cm coulomb. (C) The SI ![]() ![]() density. ( ![]() ![]() Mass of a substance per unit volume. Saying "the density of mercury is 13.55 g/cm3 " is the same as saying "the mass of exactly 1 cm3 of mercury is 13.55 g". derived unit. Derived units are units ![]() ![]() ![]() dyne. (dyn) The unit of force in the obsolete cgs ![]() femto-. (f) Prefix used in the SI ![]() gram. A metric unit of mass, equal to 1/1000 of a kilogram ![]() ![]() gross error. Compare with systematic error ![]() ![]() ![]() Gross errors are undetected mistakes that cause a measurement to be very much farther from the mean measurement than other measurements. hydrometer. An instrument for measuring the specific gravity of liquids. A hydrometer is a weight with a vertical scale attached. When placed into a liquid, the hydrometer bobs upright, and sinks to a certain level. The specific gravity or solution composition can be read from the liquid level on the vertical scale. Hydrometers are often calibrated in degrees Baumé ![]() kelvin. (K) The SI ![]() ![]() kilo-. (k) Prefix used in the SI ![]() limit of quantitation. (LOD) quantitative detection limit; limit of determination. The smallest detectable concentration an analytical instrument can determine at a given confidence level. IUPAC ![]() mass. (m) Compare with weight ![]() Mass is a measure of the tendency of an object to resist acceleration. It's harder to roll a tractor trailer than a roller skate; the tractor trailer has a far greater mass. measurement. Measurement is the collection of quantitative data. Measurement involves comparison of the quantity of interest with a standard called a unit. The comparison is never perfect. As a result, measurements always include error. You must consider the reliability of the measurement when using it to make decisions or estimate other quantities. mega-. (M) mega. SI prefix meaning "multiply by 106". For example, 3.2 MJ is 3200000 J. meter. (m) metre. The meter is the basic unit of length in the SI ![]() micro-. (µ) micro. Prefix used in the SI ![]() milli-. (m) Prefix used in the SI ![]() mistake. blunder. Compare with systematic error ![]() ![]() ![]() A mistake is a measurement which is known to be incorrect due to carelessness, accidents, or the ineptitude of the experimenter. It's important to distinguish mistakes from errors: mistakes can be avoided. Errors can be minimized but not entirely avoided, because they are part of the process of measurement. Data that is mistaken should be discarded. Data that contains errors can be useful, if the sizes of the errors can be estimated. nano-. (n) Prefix used in the SI ![]() pico-. (p) Prefix used in the SI ![]() power. The rate at which energy is supplied. Power has define[SI] units of J/s, sometimes called "Watts" (W). precision. reproducibility. Compare with accuracy ![]() Precision is reproducibility. Saying "These measurements are precise" is the same as saying, "The same measurement was repeated several times, and the measurements were all very close to one another". Don't confuse precision with accuracy ![]() random error. indeterminate error. Compare with systematic error ![]() ![]() ![]() Random errors are errors that affect the precision of a set of measurements. Random error scatters measurements above and below the mean, with small random errors being more likely than large ones. relative error. relative uncertainty. Compare with absolute error ![]() The uncertainty in a measurement compared to the size of the measurement. For example, if three replicate weights for an object are 2.00 g, 2.05 g, and 1.95 g, the absolute error can be expressed as ± 0.05 g and the relative error is ± 0.05 g / 2.00 g = 0.025 = 2.5%. relative standard deviation. (RSD) Compare with standard deviation ![]() The relative standard deviation is a measure of precision ![]() ![]() second. (s) The second (s) is the base unit ![]() ![]() significant figure. significant digit; significant. A convention for recording measurements. Measurements are rounded so that they contain only the digits up to and including the first uncertain digit, when the number is written in scientific notation. SI. Systeme Internationale; International System. Le Systéme Internationale (SI) is a system of units introduced to remove barriers to international trade, based on the older metric system. It is now used in science and technical communications worldwide. specific gravity. specific gravities. Compare with density ![]() The mass of a unit volume of a substance relative to the mass of a unit volume of water. Temperature must be specified when reporting specific gravities, since the density of the substance and of water change with temperature. Specific gravities are often reported relative to water at 4°C; at that temperature, water has a density of 1.00000 g/mL and the specific gravity of a substance is equal to its density in g/mL. specific volume. Compare with density ![]() The volume of a unit mass of substance. For example, the specific volume of water at 4°C is 1.00000 mL/g. Specific volume is the reciprocal of density. standard deviation. (s,BESD, ![]() The standard deviation is a statistical measure of precision. The best estimate of the standard deviation s for small data sets is calculated using ![]() where xi is the measurement from the i-th run, x-bar is the mean of all the measurements, and N is the number of measurements. For very large data sets, the standard deviation is the root-mean-square deviation from the true mean, and is usually written as ![]() systematic error. determinate error. Compare with random error ![]() ![]() ![]() Systematic errors have an identifiable cause and affect the accuracy ![]() trueness. Compare with accuracy ![]() Trueness is the closeness of an average measurement to a "true" value, while accuracy ![]() unit. A standard for comparison in measurements. For example, the meter ![]() weight. (W) Compare with mass ![]() Weight is the force exerted by an object in a gravitational field. The weight of an object (W) arises from its mass ![]() W = mg where g is the acceleration due to gravity (about 9.8 m/s2 on Earth).
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