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AP Chemistry 2014-2015 CH 5 GASES REVIEW
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1 atm = 760.00 mmHg = 760.00 torr = 101.325 kPa = 1.013 x 10 3 Pa = standard pressure (sea level) STP = 273 K, 1 atm R = 0.08206 Latm/molK or 8.314510 J/molK GENERAL THINGS TO KNOW
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P 1 V 1 /T 1 = P 2 V 2 /T 2 memorize it (“peas and vegetables on the table”) COMBINED GAS LAW USE TO GET BOYLE’S, GA-LUSSAC’S, CHARLES’S LAWS
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PV = nRT R = 0.08206 Latm/molK, though it has other values and units as well; useful only at low pressures and high temperatures 5.3 THE IDEAL GAS LAW
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“Molecular Mass kitty cat”—all good cats put dirt (dRT) over their pee (P). Ew, but it works. Remember that the densities of gases are reported in g/L not g/mL. THE DENSITY OF GASES
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P total = P 1 + P 2 + …. + P n You can also use this concept when collecting a gas over water; total pressure = atmospheric pressure P total = P gas + P water DALTON’S LAW OF PARTIAL PRESSURES
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Assumptions All particles are in constant, random motion All collisions between particles are perfectly elastic The volume of the particles in a gas is negligible The average kinetic energy of the molecules in a gas it is its Kelvin temperature These assumptions ignore intermolecular forces. IMFs are stronger for larger/polar particles, weaker for smaller/nonpolar particles THE KINETIC MOLECULAR THEORY OF GASES
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Follows a rough bell curve At any temperature, some particle will have zero (or near-zero) velocity As temperature increases, the curve shifts to the right and flattens Average kinetic energy is only tied to temperature; velocity is tied to both temperature and molar mass DISTRIBUTION OF MOLECULAR SPEEDS
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U rms = root mean speed, m/s T = temperature, Kelvin MM = mass of a mole of gas particles in kg (weird, I know—respect the math though) Use the “energy R” or 8.314510 J/molK for this equation since kinetic energy is involved. ROOT MEAN SPEED
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Make sure to keep track of which gas is “gas 1” and which gas is “gas 2” to keep from messing up Low molar mass = faster effusion, high molar mass = slower effusion COMPARING RATES OF EFFUSION FOR GASES WITH DIFFERENT MOLAR MASSES
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Real gases behave most ideally At high temperature At low pressure When they have weaker IMF’s (smaller, nonpolar molecules) The van der Waal’s equation has terms that correct for Volume of gas particles (term “b”) IMF’s between gas particles (term “a”) IDEAL VS. REAL GASES
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