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Gas Laws

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Kinetic theory Particles in all forms of matter are in constant motion A gas is composed of particles, usually molecules or atoms. The particles in a gas move rapidly inconstant random motion. All collisions are perfectly elastic.

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Physical behavior of a gas depends on: volume temperature pressure

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Volume How much space occupied volume of a gas in a sealed container is the volume of the container gases not in sealed containers are uncontained Units can be milliliters, liters, cubic centimeters

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Temperature Measure of the average kinetic energy of particles in a substance same temperature = same average kinetic energy temperature measured using Kelvin scale Kelvin temperature = 0°C no upper limit for temperature lower limit = absolute zero 0 K = -273°C (no motion of particles)

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To convert from Celsius to Kelvinadd 273 To convert from Kelvin to Celsius– subtract 273

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Pressure force per area result of simultaneous collisions of billions of gas particles units of pressure atmospheres mm Hg Torr Pascal

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Standard Temperature and Pressure (STP) Standard temperature = 0°C = 273 K Standard pressure = 1 atm = 760 mm Hg = 760 Torr = 101 kPa

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Avogadros Law equal volumes of gases at the same temperature and pressure contain equal numbers of particles at STP 1 mole (6.02 X particles) of any gas occupies 22.4 liters

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Boyles Law For a given mass of gas at constant temperature, the volume of the gas varies inversely with pressure. in other words, if pressure goes down, volume goes up and vice versa P 1 V 1 = P 2 V 2

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Charles Law The volume of a fixed mass of gas is directly proportional to its Kelvin temperature if the pressure is kept constant in other words, if temperature increases, volume increases and vice versa V 1 = V 2 T 1 T 2

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Gay-Lusaacs Law The pressure of a gas is directly proportional to the Kelvin temperature if the volume is kept constant. in other words, if temperature increases, pressure increases and vice versa P 1 = P 2 T 1 T 2

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Combined Gas Law Combines Boyles Law, Charles Law, and Gay-Lusaacs Law into one P 1 V 1 = P 2 V 2 T 1 T 2

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Daltons Law of Partial Pressures At constant volume and temperature the total pressure exerted by a mixture of gases is equal to the sum of the partial pressure of each gas. P total = P 1 + P 2 + P 3 ….. As soon as you see the words over water in a problem, begin looking for P1 to subtract vapor pressure out of it and T1 which tells you the temperature to look up in the table so you will know how much to subtract.

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Ideal Gas Law PV = nRT n = number of moles R = ideal gas constant T = temperature in Kelvins P = pressure V = volume if pressure is in atmospheres R = atm L k mol if pressure is in mm Hg or torr R = mm Hg k mol if pressure is in kPa R = kPa L k mol

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