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GAS LAWS IN A NUTSHELL LAW Density equation EQUATION DESCRIPTION d = m V density is mass divided by volume, units include, g/ml or g/cm3, g/L or g/dm3 Usually pressure is expressed in atmospheres 1 atm = 760. mmHg = 101.325kPa or 101, 325 Pa = 29.92 inches Hg = 760. torr Pressure Equation P = force area Kinetic Energy Equation K.E. = 1 mv2 2 measured with a thermometer temperature is a measure of the average kinetic energy of the molecules Graham’s Law of Diffusion rateA = √MMB rateB √MMA Lighter gases diffuse faster than heavier gases. It is not necessary to know individual rates just relative rates Dalton’s Law of Partial Pressures Molar Mass Conversion Ptot = p1 + p2 + .. ntot = n1 + n2 + .. no. of moles = mass in g Always round atomic mass to a tenth while molar mass g/mol calculating Charles’ Law V = constant T Boyle’s Law PV = constant Combined Gas Equation P1V1= P2V2 T1 T2 Avogadro’s Law Molar Volume Ideal Gas Law Pwet = pwater vapor + pdry gas partial pressure = mole fraction * Ptot V = constant n 1 mole of any gas has the same volume at STP conditions PV =nRT V1 = V2 at constant P and n T1 T2 remember that all temp. are in K P1V1 = P2V2 at constant T and n remember that all temperatures are in Kelvin V1 = V2 at constant temp and pressure conditions n1 n2 Molar volume at STP = 22.4 L R = universal gas constant = 0.0821 L.atm mol.K n can be calculated using a stoichiometric relation as well