Learning Log Why are you advised to open windows slightly if a tornado approaches? Ch. 10 & 11 - Gases Dalton’s Law Ideal Gas Law (p. 322-325, 340-346) A. Dalton’s Law of Partial Pressures Total pressure of a mixture of gases is equal to the sum of the partial pressures of the component gases. • In the absence of a chemical reaction PT = P1+ P2+ P3+… Practice Problem A mixture of four gases exerts a total pressure of 1200 mm Hg. Gases A and B each exert 420 mm Hg. Gas C exerts 280 mm Hg. What pressure is exerted by gas D? PT = P1 + P2 + P3 + P4 1200 = 420 mm Hg + 420 mm Hg + 280 mm Hg + P4 1200 = 1120 mm Hg + P4 P4 = 80 mm Hg B. Vapor pressure of water Gases are often collected in lab by water displacement and are mixed with water vapor Patm = Pgas + PH2O To determine the pressure of the gas collected – subtract the vapor pressure of the water at that temperature from the current atmospheric pressure C. Ideal Gas Law The mathematical relationship among pressure, volume, temperature and the number of moles of a gas. Derived by combining the gas laws. PV=nRT D. Ideal Gas Constant Merge the Combined Gas Law with Avogadro’s Principle: PV V k =R nT T n IDEAL GAS CONSTANT R=0.0821 Latm/molK R=8.315 dm3kPa/molK E. Ideal Gas Law Problems Calculate the pressure in atmospheres of 0.412 mol of He at 16°C & occupying 3.25 L. GIVEN: WORK: P = ? atm PV = nRT n = 0.412 mol P(3.25)=(0.412)(0.0821)(289) L mol Latm/molK K T = 16°C = 289 K V = 3.25 L P = 3.01 atm R = 0.0821Latm/molK E. Ideal Gas Law Problems Find the volume of 85 g of O2 at 25°C and 104.5 kPa. GIVEN: WORK: V=? 85 g 1 mol = 2.7 mol n = 85 g = 2.7 mol 32.00 g T = 25°C = 298 K PV = nRT P = 104.5 kPa (104.5)V=(2.7) (8.315) (298) kPa mol dm3kPa/molK K R = 8.315 dm3kPa/molK V = 64 dm3 F. Finding Molar Mass from the Ideal Gas Law n = mass n =m Molar mass M PV=nRT PV = mRT M M = mRT PV OR G. Finding Density from the Ideal Gas Law D = mass volume or M = mRT PV M = DRT P D = MP RT D=m V PRACTICE PROBLEMS At 28°C and 0.974 at, 1.00 L of gas has a mass of 5.16 g. What is the molar mass of this gas? P = 0.974 atm T = 28°C = 273 = 301 K M V = 1.00 L m = 5.16 g = mRT PV = (5.16 g) (0.0821 L∙atm/mol∙K) (301K) (0.974 atm)(1.00 L) = 131g/mol PRACTICE PROBLEMS What is the density of a sample of ammonia gas, NH3, if the pressure is 0.928 atm and the temperature is 63.0°C? P = 0.928 atm M = 17.034 g/mol D = MP RT = T = 63.0°C + 273 = 336 K R = 0.0821 L∙atm/mol∙K (17.034 g/mol)(0.928 atm) (0.0821L∙atm/mol∙K)((336 K) = 0.572 g/L NH3 Homework Assignment Workbook. Complete problems #1 and 2 on pp. 173-174, 1-2 p. 178, 1-2 p. 180 Practice Test Part 2 P. 181 – 182 #1-7, 12, 18 - 21 Practice test Part 2 Workbook p. 182 #1-7