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Gas!!!. It’s Everywhere!!!!. Kinetic Molecular Theory. Most of the volume occupied by a gas is empty space Collisions between gas particles are elastic collisions Energy is transferred between the particles. Kinetic Molecular Theory. Gas particles are in constant motion
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Gas!!! It’s Everywhere!!!!
Kinetic Molecular Theory • Most of the volume occupied by a gas is empty space • Collisions between gas particles are elastic collisions • Energy is transferred between the particles
Kinetic Molecular Theory • Gas particles are in constant motion • Possess kinetic energy (energy of motion) • Kinetic Energy in a gas depends on the temperature • KE = ½ mv2
Kinetic Molecular Theory • Expansion • No definite shape or volume • Fluidity • Gases flow like liquids • Low Density • Most of the volume is empty space • Compressibility • Since mostly empty space, particles can be squeezed into a smaller volume
Diffusion • Spontaneous mixing of gas particles caused by their random motion
Effusion • A process by which gas particles pass through a small opening
Real vs. Ideal • Ideal Gas – An imaginary gas that perfectly fits all of the assumptions of the Kinetic Molecular Theory • Real Gas – A gas that does not behave completely according to the assumptions of the Kinetic Molecular Theory • A real gas can behave like an ideal gas under high temperature and low pressure conditions
STP • STP = Standard Temperature and Pressure • Standard Temperature = 0°C • Standard Pressure = 1 atm
Pressure • The force per unit area on a surface • Barometer – a device used to measure atmospheric pressure
Units of Pressure • Millimeters of mercury – mmHg • Torr • Atmosphere – atm • Pascal – Pa • Kilopascal - kPa
Important Conversion • 1 atm = 760 mmHg • 1 atm = 760 torr • 1 atm = 101.325 kPa
Temperature • Kelvin is the standard temperature scale used when dealing with gases • Absolute zero = 0 K • Unreachable! • Temperature in Kelvin = Temperature in Celsius + 273 • Temperature in Celsius = Temperature in Kelvin – 273 0°C = 273 K 25°C = 298 K (Room Temp) 0 K = -273°C (Absolute Zero)
Boyle’s Law • The volume of a gas at constant temperature varies indirectly with pressure.
Example • The pressure exerted on a 240 mL sample of hydrogen gas at constant temperature is increased from 0.428 atm to 0.724 atm. What will the final volume of the sample be? • V1 = 240.0 mL • V2= ? • P1 = 0.428 atm • P2 = 0.724 atm P1V1 = P2V2 (0.428 atm)(240.0 mL) = (0.724 atm)V2 V2 = 142 mL
Charles’ Law • The volume of a gas at constant pressure varies directly with the temperature
Example • A sample of air has a volume of 140.0 mL at 67°C. At what temperature will its volume be 50.0 mL at constant pressure? • V1 = 140.0 mL • V2= 50.0 mL • T1 = 67°C + 273 = 340 K • T2 = ? V1 V2 V2 T1 (50.0 mL)(340K) T2 = = = 121 K = 140.0 mL T1 T2 V1
Gay-Lussac’s Law • The pressure of a gas at constant volume varies directly with the temperature
Example • A helium filled balloon has a volume of 50.0 L at 25°C and 1.08 atm. What volume will it have at 0.855 atm and 10°C?
Solution • V1 = 50.0 L • V2= ???? • P1 = 1.08 atm • P2 = 0.855 atm • T1 = 25°C + 273 = 298 K • T2 = 10°C + 273 = 283 K Step 1: List what you are given. Must Convert to Kelvin!!!!
Solution Step 2: Solve the Combined Gas Law for your unknown.
Solution Step 3: Solve! (1.08 atm)(50.0 L)(283 K) V2 = (0.855 atm)(298 K) V2 = 60.0 L He
Dalton’s Law • The total pressure of a mixture of gases is equal to the sum of the partial pressures of the component gases. PT = P1 + P2 + ..... + Pn
Example • What is the total pressure of a gas containing a mixture of three gases whose partial pressures are 20 kPa, 10 kPa, and 30 kPa? PT = P1 + P2 + ..... + Pn PT = 20 kPa + 10 kPa + 30 kPa PT = 60 kPa
Ideal Gas Law • The mathematical relationship among pressure, volume, temperature, and the number of moles of a gas.
Example • Calculate the volume, in liters, occupied by 2.00 mol of H2 at 300 K and 1.25 atm. (R = 0.0821) PV = nRT nRT V = P (2.00mol)(0.0821)(300K) V = 1.25 atm V = 39.4 L
Avogadro’s Law • Equal volumes of gases at the same temperature and pressure contain equal numbers of molecules.
Gas Stoichiometry 2CO + O2 2CO2 How many liters of oxygen are required to produce 2 L of carbon dioxide? 2L CO2 1L O2 = 1L O2 2L CO2