Part of JPC-08 — Mole Concept & Stoichiometry

Gas Laws and Mole Calculations

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Ideal gas law: PV = nRT. R = 0.0821 L.atmmol.K\frac{atm}{mol.K} = 8.314 Jmol.K\frac{J}{mol.K} = 1.987 calmol.K\frac{cal}{mol.K}. At STP (0 C = 273 K, 1 atm): VmolarV_{molar} = 22.4 L/mol. Density of gas: d = PMRT\frac{PM}{RT} = M/22.4 (at STP). For mixtures: MavgM_{avg} = sum(xix_i MiM_i) = sumniMisum\frac{n_i M_i}{sum}(nin_i). Dalton's law: PtotalP_{total} = sum(PiP_i); PiP_i = xix_i PtotalP_{total}. Graham's law: rate of effusion proportional to 1/sqrt(M). Gay-Lussac's law of combining volumes: at same T,P, gas volumes combine in simple ratios. Avogadro's law: V proportional to n at constant T,P. Common calculations: (1) Given mass, find gas volume at STP. (2) Given gas collected over water, subtract water vapour pressure. (3) Given mixture composition, find average molar mass. (4) Eudiometry: combustion of gaseous mixture, measure volume changes.

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