Chapter 14 #59 Parts of the kinetic molecular theory -All matter is made up of ____ _________ - All particles are in constant ______ -Collisions between these particles are _______________ # 60 Ideal Gas -It’s a gas that when kept at a constant temperature, would obey the ___ ____exactly. No known gas in an ideal gas # 61 Elastic collision - An encounter between two particles, in which ______________________________. #62 Effusion - the movement of a gas through a ___________________ into another gaseous region. #63 Boyles Law (P1V1=P2V2) - Example: A balloon with a volume of 2.0L is filled with a gas at 3atm. If the pressure was reduced to 0.5atm without a temperature change, what would be the volume of the balloon? #64 Charles Law (V1T1=V2T2) -A certain amount of gas occupies a volume of 60 L at 300 K. find the temperature if the amount of gas at 100 L. #65 Gay-Lussac Law(P1/T1=P2/T2) -A 20 L cylinder containing 6atm of gas at 27 C+273K. What would the pressure of the gas if it was heated to 77 C+273K? # 66 Combined Gas Law -Given : V1 = 30 L V2 = ??? T1 = 313 K T2 = 273 K P1 = 153 kPa P2 = 101.3 kPa Use = P1*V1/T1 = P2*V2 /T2 Solve = #67 If the Temperature is Constant, As the Pressure Increases the Volume _______ If the Pressure is Constant, As the Temperature Increases the Volume _______ If the Volume is Constant, As the Temperature Increases the Pressure _______ #68-69 Absolute Zero is the base for the Kelvin scale. Absolute Zero = ___________________________________ STP = _________________________________ (101.3kPa = 101300 Pa = 1atm) 101.3 kPa = 101,300 Pa = 1 atm #70, 71, 72 Dalton’s Law: In a Mixture of Gases, the total Pressure is the sum of the partial pressures of the separate gases. (Ptotal=________________________) Ptotal = 101.3 kPa PN2 = 79.10 / PCO2 = 0.040 / Pothers = 0.94 PN2 + PCO2 + Pothers + PO2 = 101.3 Find PO2 7 Gas Laws : -Boyle’s Law (P1V1 = P2V2) -Charles’ Law (V1/T1 = V2/T2) - Gay Lussac’s Law (P1/T1 = P2/T2) -Combined Gas Law (P1V1/T1 = P2V2/T2) -Ideal Gas Law (PV = nRT) - Dalton’s Law of Partial Pressure (Ptotal = P1 + P2 + P3 +…) - Graham’s Law (Rate A/RateB = √Molar MassB / √ Molar Mass) # 73 A gas as a pressure of 1.26 atm and occupies a volume of 7.4 L. If the gas is compressed to a volume of 2.93L, what will the pressure be assuming the temperature is constant? Given = P1 = 1.26atm V2 = 67.4 L P2 = ? V2 = 2.93 L Find : P2 Use : Boyle’s Law Solve = #74 A helium gas filled balloon has a volume of 2.75L at 20°C. The volume of the balloon decreases to 2.46L after it is placed outside on a cold day, what is the outside temperature? Given : V1 = 2.75L V2 = 2.46L T1 = 20°C = 293 K T2 = ? Find = T2 Use : Charles Law Solve = #75 A sample of helium gas has a pressure of 1.20 atm 22°C. At what celsius temperature will the helium reach a pressure of a 2.00 atm? Given = P1 = 1.20 atm P2 = 2 atm T1 = 22°C = 295K T2 = ? Find = T2 Use = Gay Lussac’s Law Solve = #76 A 700 mL gas sample at STP is compressed to a volume of 200 mL and the temperature is increased to 30°C. What is the new pressure of the gas in Pa? Given = P1 = 101.300 Pa P2 = ? V1 = 700 mL V2 = 200mL T1 = 273 K T2 = 303 K Find = P2 Use = Combined Gas Law Solve = #77 A Helium filled balloon contains 0.16 mol He at 101kPa and a temperature of 23°C. What is the volume of the gas in the balloon? Given = P = 101kPa V=? T = 296K n = 0.16 mol R = 8.314 L*kPa/mol*K Find = V Use = Ideal Gas Law Solve = #78 Dalton's Law of Partial Pressure: The total pressure of a mixture of gasses is equal to the sum of the partial pressure of the component gases. (Ptotal = P1 + P2 + P3 +…) Ideal Gas Law : The mathematical relationship between pressure, volume, temperature, and the number of moles of a gas. (PV = nRT) Graham's Law of Effusion = The rates of effusion (R or V) of gases (at the same Temperature and Pressure) are inversely proportional to the square root of their molar masses (Rate A/RateB = √Molar MassB / √ Molar Mass) #79 If the partial pressure of a Carbon dioxide, helium, and oxygen is 100 kPa, 80 kPa and 40 kPa respectively, what is their total pressure? Given = Pcarbondioxide = 100 kPa Phelium = 80 kPa Poxygen = 40 kPa Find = Ptotal Use = Dalton’s Law of Partial Pressure Solve = #80 Compare the rate of effusion of nitrogen and oxygen Given = Molar mass of N2 = 28.0 g/mol Molar mass of O2 = 32.00 g/mol Use = Graham’s Law (Rate A/RateB = √Molar MassB / √ Molar Mass A) Solve =