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Learn about typical air composition, pressure units, gas densities, Dalton's law, gas mixtures, kinetic theory, collisions, and real gases in physics. Understand concepts like partial pressures, gas mole fractions, and deviations from ideal gas laws.
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GAS DENSITIES PV = nRT n = m/M (m = Mass of Gas; M = Molar Mass of Gas) ∴ PV = m/MRT ∴ m/V=dgas= PM/RT (dgas = Density of gas)
GAS MIXTURES • Dalton’s Law of Partial Pressures: • pa + pb + pc + pd + ……+ pn = ptotal • ∴ptot = ntot RT/ V
GAS MOL FRACTIONS Mol fraction of A =xA= mols A / total mols For 2 gases A & B, mol fraction of B = xB = nB / (nA + nB) and pB = xBPtot xa + xb + xc + xd …. xn = 1.0
GAS KINETIC THEORY • Pressure = k(Collision/s) x (momentum change) =k (N/V) x u2 where u2 =Mean square velocity of gas molecules Or, PV = Nmu2
REAL GASES • Van der Waals Forces • (P + a n2/ V2 ) (V-b) = nRT • “Stickiness” of molecules - a n2/ V2 • Dead Volume of molecules - V-b