## Gaseous State

 Ideal Gas Equation
 PV = nRT
 Boyle’s Law
 PV = k
 Charle’s Law
 V/T = k
 Gaylussac’s law
 P/T=k
 Ideal Gas Equation on Density
 PV=dRT/M
 Ideal Gas Equation on Concentration
 PV = CRT
 R value
 0.0821 li atm K-1 Mol-18.314 J K-1 mol -18.314 * 10^7 erg K-1 mol-1
 Graham’s Law of Diffusion
 R1/R2 = sqrt(D2 / D1) = sqrt(M2 / M1Ki)
 Kinetic gas Eqn
 PV = 1/3m N C^2m = mass of each moleculeN = number of moleculesC = RMS velocity of each molecule
 Average KE of 1 mole
 3/2 * PV = 3/2 * RT (since n = 1)
 Average KE of each molecule
 (3/2 R T) / Na divide KE of 1 mole by Avagadro’s number
 Boltzman’s Constant
 R/Na = 1.33 * 10^-23 J K-1 molecule-1derived from:Avg KE of each Molecule = (3/2 R T)/Na
 Average Velocity
 C Bar (C with dash above it) = sqrt(8 R T / pi M)
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