Chemistry v10 Chem Live Lesson 5.03 Gas Laws Concept Review: Kinetic Molecular Theory Kinetic Molecular Theory makes 5 assumptions that ideal gases follow to relate pressure, volume, moles and temperature. 1. Gas particles have kinetic energy. -The greater the kinetic energy, the faster the movement. They travel in straight lines, change direction after each collision. 2. Gas particles occupy a volume 1,000 times greater than a solid or liquid. So, there is a lot of empty space between them. Concept Review: Kinetic Molecular Theory 3. Gases have elastic collisions - no net gain or loss of kinetic energy A sample of gas will have constant average kinetic energy at constant temperature and volume. 4. Gas particles move so quickly the attractive forces between them are negligible so it can be ignored 5.The higher the temperature (measured in Kelvin) of a gas, the greater the average kinetic energy of the sample. Concept Review: Physical Characteristics of Gases • Gases exert pressure due to the collision of the particles with the surfaces, such as the walls of the container • There are several different units of pressure: – – – – Atmospheres (atm) Millimeters Mercury (mmHg) kiloPascals (kPa) Torr Concept Review: Pressure Conversions Practice 785 mm Hg = ? Atm Step 1: Identify the conversion Factor that relates the units. 1 atm = 760 mm Hg Step 2: 785 mmHg 1 atm =1.03 atm 1 760 mm Hg You try one! 111 kPa = ? atm Concept Review: Gas Laws • To fully describe a gas we must describe the Volume, temperature, Pressure, # of particles. The relationships between the variables are simple. If we know 3 of the 4 we can calculate the other. Boyle’s Law Practice Ex. A sample of gas has a volume of 1.2 liters when its pressure is 0.98 atm. What would be the resulting volume if the pressure increased to 1.30 atm while temperature and moles remained constant? Step 1: List variables P1 = 0.98 atm V1 = 1.2 L P2 = 1.30 atm V2 = ? L Step 2: Plug In and Solve V2 = P1V1 P2 V2 = 0.98 atm x 1.2 L 1.30 atm V2 = 0.90 L Boyle’s Law Practice • A gas in a 4.0 L container has a pressure of 3.2 atm. What is the resulting pressure if the gas is allowed to expand to a volume of 5.8L L? Charles’ Law A sealed helium-filled balloon has a volume of 2.50 liters at 21.5°C. The volume of the balloon decreases to 2.32 liters after being placed in a freezer overnight. Based on this change in volume, what is the temperature in the freezer? Gay-Lussac’s Law An aerosol can filled with gas has a pressure of 2.95 atm at a temperature of 25°C. The warning on the can says to not allow the temperature to exceed 50°C. What would be the pressure of the gas inside the aerosol can at a temperature of 50°C, assuming volume and moles remained constant? Avogadro’s Law A balloon containing 0.85 moles of gas occupies a volume of 2.3 liters. If 0.50 moles of gas are added to the balloon, giving a total of 1.35 moles of gas, at a constant temperature and pressure, what is the resulting volume of the balloon? Ideal Gas Law • A single gas law developed to combine all 4 variables into one equation PV = nRT R, represents a constant known as the ideal gas constant. Its value depends on the units used for pressure, volume, moles, and temperature. Ideal Gas Law Practice • What is the volume, in liters, occupied by 0.485 moles of oxygen gas (O2) at 23.0°C and 0.980 atm? Step 1: List variables P= 0.980 atm V=? n=0.485 moles R = 0.0821 L atm/mol K T = 23.0 C + 273 = 296 K Step 2: Solve Equation for desired variable. V = nRT/ P Step 3: Plug in & Solve V = 0.485 x 0.0821 x 296 0.980 V = 12.0 L Ideal Gas Law Practice • How many moles of chlorine gas (Cl2) are contained in an 8.5 liter tank at 298 K and 3.20 atm? Ideal Gas Law Practice • What would be the pressure, in atmospheres, of 4.3 moles of gas in a 1.43 liter tank at 285 K? Chemistry v10 Chem Live Lesson 5.03 Gas Laws Lab Part 1: Boyle’s Law Lab Data and Observations: 1) Record your data for volume and pressure below. 2) Include an observations section for any observations that you made during the lab. Part 1: Boyle’s Law Graph: Create a graph of your data for this part of the lab. You may use any graphing tool to create the graph, but be sure to follow common guidelines for creating a graph. (5 points) 1) Pressure should be in Kilo pascals( KPa) and volume in Milliliters (mL). 2) Place Pressure on the Y-axis and volume on the X-axis. 3) Use the link below to create and paste your graph in your worksheet: http://nces.ed.gov/nceskids/createagraph/default.aspx Part 1: Boyle’s Law Conclusion: Answer the following questions after completing the lab. 1. Describe the relationship that you observed between pressure and volume in this lab. Refer to your data and/or graph to help support your answer. (3 points) Is the relationship on this graph direct or is it inverse? As ________________increases, ___________________ decreases. 2. Do you think there is a point at which volume cannot be decreased anymore for this sealed container of gas? Explain your answer in terms of what you know about the properties and characteristics of gases. (3 points) Think about the motion and volume of the particles at the given temperature. Part 2: Charles’s Law Part 2: Charles’s Law Lab 1) Record your data for temperature and volume 2) Include an observations section for any observations that you made during the lab. Part 2: Charles’s Law Graph: Create a graph of your data for this part of the lab. You may use any graphing tool to create the graph, but be sure to follow common guidelines for creating a graph. Be sure to graph temperature in the unit Kelvin and volume in the unit Liters. (5 points) 1) Temperature should be in Degrees Celsius( C ) and volume in Milliliters (mL). 2) Place Temperature on the Y-axis and volume on the X-axis. 3) Use the link below to create and paste your graph in your worksheet: http://nces.ed.gov/nceskids/createagraph/default.aspx Part 2: Charles’s Law Conclusion: 1. Describe the relationship between volume and temperature, referring to your data and/or graph to support your answer. (3 points) Volume and temperature are_______________( inversely/directly) related, as one ___________the other _____________________. 2. Do you think there is a point at which volume cannot be decreased any further for this sealed container of gas? Explain your answer in terms of what you know about the properties and characteristics of gases.