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Units of measurement Chapter 2 section2
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Measurements are quantitative information.
Measurement represents quantities Quantity= something that has magnitude, size, or amount. A quantity is not the same as measurements Ex: the quantity represented by a teaspoon is volume. (the teaspoon is a unit of measurement, while volume is a quantity) Almost, every measurements is a number plus a unit. The choice of unit depends on the quantity being measured.
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SI Measurement Le Système International d'Unités
This system was adopted in 1960 by the General Conference on Weights and measures. SI has seven base units.
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Length Shorter distances (cm) SI standard unit is meter
Km is used to express long distances Ex: road signs Shorter distances (cm)
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Mass Mass is a measure of the quantity of matter. Mass vs Weight
SI standard unit for mass is Kg. Mass vs Weight Mass is determined by comparing the mass of an object with a set of standard masses that are part of the balance. Weight is a measure of the gravitational pull on matter . (spring) As the force of Earth's gravity on an object increases so does its weight.
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Volume: amount of space occupied by an object
The most commonly used metric units for volume are the liter (L) and the milliliter (mL). A liter is a cube 1 dm long on each side. A milliliter is a cube 1 cm long on each side. 1 m = 10 dm (1 m)3 = (10 dm)3 1 m3 = 1000 dm3 or 0.001 m3 = 1 dm3 1 dm = 10 cm (1 dm)3 = (10 cm)3 1 dm3 = 1000 cm3 0.001 dm3 = 1 cm3 These are conversion factors 1 m = 10 dm = 100 cm Incidentally, 1 m3 = 1x106 cm3
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Density Another physical property of a substance – the amount of mass per unit volume. Density does not have an assigned SI unit – it’s a combination of mass and volume. density is temperature-sensitive, because the volume that a sample occupies can change with temperature. Densities are often given with the temperature at which they were measured. If not, assume a temperature of about 25oC.
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Sample Problem A A sample of aluminum metal has a mass of 8.4 g. the volume of the sample is 3.1cm3 . What is the density of aluminum? Diamond has a density of 3.26 g/cm3 .what is the mass of diamond that has a volume of 0.351cm3 ? what is the volume of a sample of liquid mercury that has a mass of 76.2g , given that the density of mercury is 13.6g/mL?
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Dimensional analysis A mathematical technique that allows you to use units to solve problems involving measurements. Quantity sought= quantity given x conversion factor
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