SCC-CH110/UCD-CH41C Chapter: 4 Instructor: J.T. P1 Gaseous State of matter Properties of Gases: Compressibility, Expandability, low density, exerting uniform pressure on the walls of its container. To explain observable macroscopic phenomena in terms pf particulate behavior: Particles of gases moving in straight lines (filling their container, exert pressure) F P= S Molecules collide without loss of total kinetic energy. Gas molecules are widely spaced. The volume of 1g of water is 1.04 cm3 The volume of 1g of steam is 1670 cm3 1.04 × 100 = 0.0623 % 1670 It means the actual volume of molecules is negligible compared to the their occupied space. SCC-CH110/UCD-CH41C Chapter: 4 Instructor: J.T. P2 Attractive forces between molecules are negligible. Pressure of Gases: Mercury Barometer (Torricelli design) A inverted tube with mercury in a dish of mercury. h A mercury barometer at sea level. h A mercury barometer on the top of a high mountain. F pound = = psi S square inche F newton P= = = pascal = Pa S square meter P= Pressure Units: 1 bar = 100 Kpa 1 atm = 760 mm Hg = 760 torr =101.3 Kpa = 14.69 psi SCC-CH110/UCD-CH41C Chapter: 4 Instructor: J.T. P3 V∝T Name: Charles’s Law Or V-T Law Condition: Relationships Constant Pressure V V2 1 = & T2 T1 Constant mole P ∝ 1/V Name: Boyle’s Law Or V-P Law Condition: Constant Temperature & Constant mole Relationships P1 V1 = P2V2 If V∝ T and V∝1/P than V∝ (T)(1/P) Name: Combined gas Law Or P-T-V Law Condition: Constant mole Relationships P1 V1 P2 V2 = T1 T2 SCC-CH110/UCD-CH41C Chapter: 4 Instructor: J.T. P4 Example: A sample of carbon dioxide occupies 300 mL at 10°C and 750 torr. What volume will the gas have at 30°C and 750 torr? Pressure is constant! Charles’s Law TK = °C + 273 V1 V2 300 mL V2 = = T1 T2 ; 10 + 273 30 + 273 ; V2= 321 mL ************************************************** Example: A sample of Freon (CCl2F2) gas used in an air conditioner has a volume of 325 L and a pressure of 96.3 Kpa at 20°C. What will the pressure of the gas be when its volume is 975 L at 20°C? Temperature is constant! P1V1 = P2V2 (96.3)(325) = P2 (975) P2 = (96.3 KPa )(325 L) 975 L P2 = 32.1 KPa Boyle’s Law SCC-CH110/UCD-CH41C Chapter: 4 Instructor: J.T. P5 Example: What would be the volume at STP of 3.62 liters of nitrogen gas, measured at 649 torr and 16°C? Given: V=3.62 L, P=649 torr, t= 16°C Wanted: Volume at STP? At STP condition: P=1 atm or 760 mm Hg or 760 torr, and T=273 K The Combined Gas Low: Wanted part = Given part P1 V1 T1 P2 V2 = T2 (760 torr ) V1 (649 torr ) (3.62 L) = 273 K (16 + 273) K (273 K )(649 torr ) (3.62 L) V1 = (760 torr )(289 K ) V1=2.92 L SCC-CH110/UCD-CH41C Chapter: 4 Instructor: J.T. Experiment: Ruler, Capillary tube, Thermometer Water bath V-T Law Height (mm) 100 80 60 40 20 0 -300 -200 -100 0 Temperature (C) 100 P6 SCC-CH110/UCD-CH41C Chapter: 4 Instructor: J.T. P7
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