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Chapter 5 Gases. Chapter 5 Gases. WHY?. Sketch of Modern Balloons. WHY?. Mathematics. V/T = constant. 1.00. PSI. 8.00. PSI. 8.00. PSI. WHY?. Mathematics. PV = constant. Mathematics. V/n = constant (n = moles). Moles. 273. 1.00. K. ATM. 804. 9.79. K. ATM. (atm).
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Mathematics • V/T = constant
1.00 PSI
8.00 PSI
8.00 PSI WHY?
Mathematics • PV = constant
Mathematics • V/n = constant • (n = moles)
273 1.00 K ATM
804 9.79 K ATM
Mathematics • P/T= constant
MathematicsSummary • V/n = constant • V/T = constant • P/T = constant • PV = constant
MathematicsSummary • V/nT = constant • P/T = constant • PV/nT = constant
MathematicsSummary • PV/nT = constant • PV = nTconstant • constant = R • PV = nRT Ideal Gas Law
Conditions of Use • PV = nRT Ideal Gas Law • P units must be atm’s • V units must be liters • T must be in Kelvin
Gas Law ResourcesPressures equivalent to the standard 1.00 ATM • 28.3 ft. H2O • 29.92 in. Hg • 76.0 cm Hg • 760.0 mm Hg • 760.0 torr • 14.7 psi. • 1.013 bar • 1.013 x 105 Pa • 101.3 kPa • (1 Pa = 1 Nt/M2)
Practice • Fill out the following chart. • mm Hg. atm. kPa. bar • 1215 . • 0.714 . • 143 . • 0.904 .
Gas Law ResourcesTemperature - must be absolute - never negative • Temperature must be in Kelvin • K = oC + 273
Practice • Calculate the volume of 1.0 mole of a gas at Standard Temperature and Pressure.
Practice • Fill out the following chart for C4H10 • Press. Vol. Temp. Moles Grams • 1.75 L 19 oC 1.66 . • 0.895 atm 6.0 oC 14.0 . • 433 mm Hg 92.4 mL 0.395 . • 1.74 bar 8.66 L 310 K .
Experiment 4 Fe + 3 O2→ 2 Fe2O3 Fe + N2→ NR
Interpretation • Air contains both N2 and O2 • Each gas has its own independent pressure. • “The sum of all individual gas pressures in a gas mixture is equal to the total pressure” DALTON • Dalton’s Law of Partial Pressures
KMT • Kinetic Molecular Theory of gases • Gases consist of very tiny particles in continuous random motion. • Particle collisions are elastic(no energy lost). • Particle volume is negligible. • Particle interaction is negligible. • molecular speed causes both pressure and volume of gases
Graham’s Law • Often called Grahams’ Law of Diffusion - in error • Diffusion - movement of gas down an open tube • complex and influenced by many factors. • Effusion - movement of gas through small holes. • Graham’s Law of Effusion of Gases • “At a given temperature and pressure, gaseous effusion rate in moles per time unit, is inversely proportional to the square root of the molar mass of the gases”. • effusion rate of B = √mm B • effusion rate of A √mm A
Ideal vs Real • Review KMT. Obvious non-realities. • Some gas molecules are NOT tiny. • Many gas collisions DO lose energy • Gas molecules HAVE a noticeable volume • Some molecules have SIGNIFICANT interaction.