UC Irvine FOCUS! 5 E Lesson Plan Title: Boyles Law Grade Level and Course: Grade 9-12 High School Chemistry Materials: Wire syringe with plunger tubing with pinch clamp ring stand weights clamp graph paper Instructional Resources Used: (concept maps, websites, think-pair-share, video clips, random selection of students etc.) : Pre-determined lab groups, video clips, http://www.youtube.com/watch?v=J_I8Y-i4Axc, Think-pair-share o Day prior to lab, have students in groups of two watch http://www.sciencegeek.net/VirtualLabs/BoylesLaw.html o Students will observe what happens when plunger is moved and record observations. They will share with their partner and determine a cause for observation and report out to class. o Students absent from class will accomplish computer simulation lab http://phet.colorado.edu/simulations/ California State Standards: (written out) Gases and Their Properties 4. The kinetic molecular theory describes the motion of atoms and molecules and explains the properties of gases. As a basis for understanding this concept: a. Students know the random motion of molecules and their collisions with a surface create the observable pressure on that surface. c. Students know how to apply the gas laws to relations between the pressure, temperature, and volume of any amount of an ideal gas or any mixture of ideal gases. g. * Students know the kinetic theory of gases relates the absolute temperature of a gas to the average kinetic energy of its molecules or atoms. Investigation & Experimentation - Grades 9 To 12 Science Content Standards. 1. Scientific progress is made by asking meaningful questions and conducting careful investigations. As a basis for understanding this concept and addressing the content in the other four strands, students should develop their own questions and perform investigations. Students will: a. Select and use appropriate tools and technology (such as computer-linked probes, spreadsheets, and graphing calculators) to perform tests, collect data, analyze relationships, and display data. b. Identify and communicate sources of unavoidable experimental error. c. Identify possible reasons for inconsistent results, such as sources of error or uncontrolled conditions. d. Formulate explanations by using logic and evidence. Lesson Objectives: o Students will successfully perform the lab, record data and interpret results to confirm or reject experimental hypothesis. o Students will be able to apply volume and pressure concepts to real world applications. o Students will be able to predict and solve for missing quantities in the Boyle’s Gas Law equation. o Students will experimentally determine the relationship between pressure and volume. Differentiation Strategies to meet the needs of diverse learners: English Learners: In mixed ability groupings, students will be asked to define the term kinetic theory and then perform the lab. Students will draw the procedures, labeling materials. Model the procedure, following the procedure drawn by the student. Special Education: Recap and restate the previous days computer simulation. Students will participate in normal class. GATE: Using the graph created in the lab, students will extrapolate values for pressure given volume data. They will then compare these values to calculated values using Boyles equation V1P1=V2P2. ENGAGE Describe how the teacher will capture the students’ interest. Blow up a balloon and tie the end. Squeeze the balloon until it pops. Then take a strawberry, place it in a beaker and squish it. Do the same with a marble. What kind of questions should the students ask themselves after the engagement? o Why did the balloon volume get bigger as air was put in? o What caused the balloon to pop? o Why did the strawberry crush but not the marble? EXPLORE Describe the hands-on laboratory activity that the students will be doing. o Students will be adding specific mass to a suspended syringe with plunger. As the masses are added, students will observe and record the new volume. Masses will be added in 200 g increments until volume readings are no longer possible. Students will then remove the masses on at a time, again recording the volume. Do as many trials as possible. List the “big idea” conceptual questions that the teacher will ask to focus the student exploration. a. What property of a gas allows its volume to behave the way it is observed to do? b. What general function is the pressure-volume following? EXPLAIN What is the “big idea” concept that students should have internalized from doing the exploration? One of the properties of gases is the weak forces between molecules of gas. This allows for some amount of space between molecules. As the pressure is increased, the molecules are pushed closer together thereby decreasing the volume that the gas occupies. Inversely, as the pressure decreases, the volume will increase. List the higher order questions that the teacher will ask to solicit student explanations for their laboratory outcomes, and justify their explanations. a. Using kinetic molecular theory, explain why the balloon’s volume changes. b. Is there a point where the volume will no longer decrease no matter how much the pressure is? c. What would happen to pressure if the volume of the container holding the gas was reduced? EXTEND Explain how students will develop a more sophisticated understanding of the concept. o Watch video clip http://www.youtube.com/watch?v=J_I8Y-i4Axc. After watching, put students back into groups and have them apply the video concept to breathing. They will answer the following question: How does breathing work? Each group will then share out their conclusion. How is this knowledge applied in our daily lives? o Students will work in groups of two to research an application of Boyle’s Law, and present it to the class in power point. For differentiation, students can build a poster with the concept in picture form. EVALUATE How will the student demonstrate their new understanding and/or skill? Students will correctly answer benchmark questions on Boyle’s Law, kinetic molecular theory and chapter test. Further understanding will be shown by the presentation. What is the learning product for the lesson? a. Successful completion of the lab. b. Correctly answering the lab questions. c. Accurate completion of the graph and presentation board. Background Knowledge for the Teacher: When the gas laws are discussed, the kinetic molecular theory must first be addressed for students to understand “why” not just “it does”. Gas molecules have very small intermolecular forces. There is “space” between them, which not only allows for compression but the ability to do work without a reaction. As molecules of a gas collide with a surface, they create a pressure. Pressure can be increased by increasing the velocity of the molecules i.e., increasing temperature or by increasing the number of gas molecules. If the temperature is kept constant any change in pressure or volume will result in the inverse change of the volume or pressure. Pressure is force per unit area. What we observe as the pressure of a gas is the force of collisions as the particles strike the walls of the container. If these collisions occur frequently, the gas pressure is high. If the collisions don’t occur very often, the pressure is low. Any change in the conditions that results in more frequent collisions will increase the pressure. What we observe as the volume of a gas is the empty space the particles travel through. The larger the volume, the greater the distance between particles. Any change in the conditions that results in a longer distance between particles is due to an increase in volume. Source: http://www.chemprofessor.com/kmt.htm Student pages are attached. Boyle’s Law Purpose: To experimentally prove the volume and pressure inverse proportionality relationship as stated by Boyle’s Law; P1V1=P2V2 Hypothesis: (student derived) Materials: wire pinch clamp weights syringe with plunger support stand syringe clamp tubing Procedure: 1. Connect the piece of tubing to the syringe. 2. Open the pinch clamp on the tubing and fill the syringe with air to the max displayed volume. Close the pinch clamp. 3. Attach the syringe clamp near the top of a support stand. 4. Turn syringe tip pointing down and secure it to the clamp attached to the support stand. 5. Secure the wire to the top in a loop so that the bottom of the loop is below the end of the tubing. 6. Hang a hook weight on wire loop, record the mass of the weight (in grams) and the volume of air (in cc) as indicated on the scale of the syringe. 7. Continue adding additional hook weights on the wire loop, recording the total mass and volume of air after each addition. Gather data for as many masses as possible. 8. After all of the weights are hung on the device, remove them one at a time in the same order and record the volumes again. Use this data as trial #2. 9. Repeat this procedure for steps 6 and 7. Average the volume data and record in the data table. Data Table: (EXAMPLE ONLY) Mass 0g Vol. Trial 1 (adding mass) Vol. Trial 2 (subtracting mass) Vol. Trial 3 (adding mass) Vol. Trial 4 (subtracting mass) Average Data Interpretation: Build two graphs: Graph1- mass (x axis) (pressure) vs. volume (y axis) for all trials. Graph 2 - 1/mass verses volume Analysis: 1. As mass (pressure) is added to the syringe, what happens to the volume of gas in the syringe? 2. Which graph shows a liner relationship? What does this say about the pressurevolume relationship? 3. Using the graph created, extrapolate the pressure of a mass greater than the largest mass and interpolate the pressure of gas between two masses. Show all work. 4. Using kinetic molecular theory write a paragraph describing your results. Boyle’s Law Computer Activity Follow instructions from your teacher to access and open the Gas Properties Simulation. Or you can go to http://phet.colorado.edu/simulations/ and find the simulation link in the “Chemistry” simulations. Open the simulation. Click on the “Measurement Tools” button. Click on the Ruler. This will cause a ruler to appear. The rulers units are in nanometers (nm) but we are going to use the ruler to give us an estimated measurement of volume. You will use the ruler to measure the width of the box. We will then change the units of measurement to liters. For example: initially the box should have a width of 6.6 nm which will be recorded in your data table as 6.6 L (liters). When you are asked to change/measure the volume of the box, use the ruler to do so. What are the graduations on the ruler? (How much is each notch worth?) ________________________________________________________________________________ First, you need to add a gas to your container. Click on the handle of the pump, and add ONE PUMPFUL of gas to your container. Locate the “Gas in Chamber” data on the right. How many gas particles did you add to your container? ____________ What type of gas did you add? ________________________________ Describe the motion of the particles: _________________________________________________________________________________________ _______________________________________________________________________ Boyle’s Law looks at the relationship between volume and pressure when there is a constant temperature. You must set your container to constant temperature. Click on the Temperature button in the ”Constant Perameters” on the upper right corner. This will cause the temperature to automatically adjust to whatever the initial value is set at. Set your temperature to constant. What is the temperature of your box? _____________ You are going to adjust the volume of the container by clicking on the handle on the left side of the container and dragging it to various widths. Dramatically change the volume of the container to a smaller size. Initially, what happens to the temperature of the box? ____________________________ What does the simulation automatically do to your container to achieve constant temperature? ________________________________________________________________________________________ Change the gas to 100 molecules of the HEAVY species by manually setting this in the right box. According to the Kinetic Molecular Theory, what action causes pressure on the inside of the container? _______________________________________________________________________________________ Hypothesize: If you will make the container smaller, how will this affect the answer to the previous question? ________________________________________________________________________________________ If you make it larger? ______________________________________________________________________ Fill in the following chart by selecting various Volumes. Measure the volume of the container using the ruler. Calculate the values as indicated in the other columns. Trials Volume (V) Pressure (P) Calculate k1 = (PxV) Calculate k2 = P V Trial 1 2 3 4 5 6 Which variable did you control (independent)? ____________________________ Which variable is the dependent variable? ____________________________ Graph Pressure vs. Volume in the following graph. Use proper scaling. Label the graph appropriately. Draw a curved line best connecting all of the points. Looking at your data and graph, describe the relationship between volume and pressure. _______________________________________________________________________________________ As the volume gets larger, what happens to the pressure of the gas? _______________________________________________________________________________________ Which value remains consistent in the data table? k1 or k2 This k-value is constant; the ratio between volume and temperature of any point on the graph will be the same. Pick any two points from the graph or table: Point #1 Point #2 V1 = V2 = P1 = P2 = Show the k-value calculation: Write an equation for Boyles’s Law: We can use this formula to predict the pressure (P2) or volume (V2) of any gas. Use this formula to complete the following calculations. Show your work. 1. If a gas has a volume of 1.25 L and a pressure of 1.75 atm, what will the pressure be if the volume is changed to 3.15 L? 2. If a gas has a volume of 3.67 L and a pressure of 790 mm Hg, what will the pressure be if the volume is compressed to 2.12 L? What is the pressure in atmospheres (atm)? Convert pressure units. 3. A container has a volume of 5.85 L and a pressure of 4.25 atm. What will the volume be if the container’s pressure is changed to 2.75 atm? 4. A container has a volume of 2.79 L and a pressure of 5.97 atm. If the pressure changes to 1460 mm Hg, what is the container’s new volume? Convert pressure units.