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Lecture 1 Dimensions and Units
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Base Units Length: meter (m) Mass: kilogram (kg) Time: second (s) Electric current: ampere (A) Amount of substance: mole (mol) Temperature: kelvin (K) http://physics.nist.gov/cuu/Units/current.html
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Prefixes http://physics.nist.gov/cuu/Units/prefixes.html
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Derived Units -- 1 Speed/velocity ms -1 ms -1Acceleration ms -2 ms -2 Force (Newton) Use Newton’s 2 nd law: F = ma Use Newton’s 2 nd law: F = ma 1 N = 1 kg ms -2 1 N = 1 kg ms -2
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Derived Units -- 2 Pressure (pascal) (Pa) Pressure = force per unit area Pressure = force per unit area 1 Pa = 1 N m -2 1 Pa = 1 N m -2 Exercise: Reduce to base units
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Derived Units -- 3 Energy/Work (joule) (J) Work = force x distance Work = force x distance 1 J = 1 N m 1 J = 1 N m Exercise: Reduce to base units Another approach – kinetic energy KE = ½ mv 2 KE = ½ mv 2 Unit: kg (ms -1 ) 2 Unit: kg (ms -1 ) 2 (Another expression for 1 J) (Another expression for 1 J)
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non-SI Pressure Units Millibar (mb) Millibar (mb) 1 mb = 100 Pa = 1 hPa (hectopascal) 1 mb = 100 Pa = 1 hPa (hectopascal) Atmosphere (atm) Atmosphere (atm) 1 atm = 1013.25 mb 1 atm = 1013.25 mb Inches of mercury (in Hg)
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Inches of Mecury Based on operation of a mercury barometer Pressure is proportional to height of mercury column
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A “home-made” mercury barometer Height of column = 29.92 inches for a pressure of 1 atm
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Temperature Scales Celsius scale ( C) Fahrenheit ( F) Kelvin (K)
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Celsius Scale 0 C = freezing point of pure water 100 C = boiling point of pure water at 1 atm
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Celsius and Fahrenheit
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Kelvin and Celsius K = C + 273.15 C = K – 273.15 0 K is called “absolute zero” absolute zeroabsolute zero
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Moles 1 mole = an amount of atoms or molecules whose total mass equals the molecular weight of the substance in grams Example: 1 mole of carbon 12 (C-12) is the number of atoms in 12 g of C-12
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Avogadro’s Number (N A ) N A = number of atoms or molecules in 1 mole N A = 6.02 x 10 23 mol -1 Alternate definition of mole: amount of substance containing 6.02 x 10 23 molecules
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HW Read Stull, Appendix A.
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