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Boyle Law, Charles Law, Gay-Lussac Law, Combined Gas Law, Ideal Gas Law, Daltons Laws and more
Typology: Cheat Sheet
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Gas Laws Cheat Sheet STP is 1 atm and 0°C K = 273 + °C (Change ALL temperatures to Kelvin!!!!) 1 atm = 760 mmHg or 760 torr 1000 mL=1 L 1 atm = 101.3 kPa Molar Volume of a Gas at STP 22.4 L/mol V 1 = initial volume Boyle’s Law V 1 P 1 = V 2 P 2 V 2 = final volume P 1 = initial pressure P 2 = final pressure Charles’s Law V 1 = V 2 T 1 = initial temperature (in Kelvin) T 1 T 2 T 2 = final temperature (in Kelvin) n1 = initial moles Gay-Lussac’s Law P 1 = P 2 n2 = final moles T 1 T 2
Moles and Volume Law V 1 = V 2 n1 n
Combined Gas Law V 1 P 1 = V 2 P 2 n1 T 1 n 2 T 2
Ideal Gas Law PV = nRT P = pressure in atm, kPa, or mmHg (Make sure you pick correct R!) V = volume in liters n = number of moles T = temperature in Kelvin Ideal Gas Constant = R = 0.0821 L • atm = 8.31 L • kPa = 62.4 L • mmHg mol • K mol • K mol • K
(Pressure)(volume) = (moles)(ideal gas constant)(temperature)
Daltons Law P (^) T = P 1 + P 2 + P 3 + ……. P (^) T = total pressure P (^) # = the partial pressures of the individual gases
Total Pressure of a Gas = (Sum of the partial pressures of the component gases) Daltons Law applied to Gases Collected by Water Displacement P (^) atm or P (^) T = P (^) gas + P (^) H2O P (^) atm or P (^) T = barometric pressure or total pressure P (^) gas = pressure of the gas collected P (^) H2O = vapor pressure of water at specific temperature (table below also on page 899 in textbook) Water – Vapor Pressure Temperature (ºC)
Pressure (mmHg)
Temperature (ºC)
Pressure (mmHg)
Temperature (ºC)
Pressure (mmHg)
Temperature (ºC)
Pressure (mmHg) 0.0 4.6 21.0 18.6 27.0 26.7 50.0 92. 5.0 6.5 22.0 19.8 28.0 28.3 60.0 149. 10.0 9.2 23.0 21.1 29.0 30.0 70.0 233. 15.0 12.8 24.0 22.4 30.0 31.8 80.0 355. 18.0 15.5 25.0 23.8 35.0 42.2 90.0 525. 20.0 17.5 26.0 25.2 40.0 55.3 100.0 760.
Graham’s Law Rate of diffusion/effusion of A = √(M (^) B / M (^) A) M = molar mass of that compound Rate of diffusion/effusion of B Gas A is the lighter, faster gas Rate of diffusion/effusion is the same as the velocity (or speed) of the gas. After the rates of diffusion/effusion for two gases are determined, the gas with the lower molar mass will be the one diffusing/effusing faster.