Gas Laws Name______________________ Understanding how the temperature, pressure, and density of an air parcel relate to each other is important to understanding the winds. The ideal gas law for air is Pressure = 2.87*density*temperature In this activity you will explore the gas law. The value of 2.87 appears so that when you use units for density of kg/m3 and Kelvin for temperature, the pressure units are millibars. Student Learning Objectives: Students will: explore the relationships between pressure, volume, temperature, and density of an ideal gas (a.k.a. The ideal gas law) answer specific questions directed at assessing their understanding of these relationships. use the Gas Law’s virtual environment to accurately collect data. use a virtual graphing environment to manually graph their data. Assessment of the agreement between data table and graph will be used to assess student graphing skills. use graphical analysis of their the data to help answer specific questions related to the ideal Gas Law. Part 1 Getting started: Go to http://phet.colorado.edu/en/simulation/gas-properties and select RunNow The Youtube video http://www.youtube.com/watch?v=D0zesDZ8r3k introduces you to the simulation environment. Start out by putting 100 heavy molecules into the box. Wait about 1 minute for everything to settle down. Look closely at the molecules bouncing around. Does it look like the molecules bounce off the walls with the same speed that they strike the walls? Yes or NO Do the molecules bounce off each other? Yes or NO If Yes, Do the molecules bounce off each other with the same speed that they had before colliding? Yes or NO Part 2. Constant Volume. Select the Constant Volume environment. Vary the temperature from 300 to 900 K by using the heat option. Record the Pressure and Temperature for at least 6 different temperatures in the 300 to 900 K range. Each time you heat up the gas you must wait for about 20 to 30 seconds before things settle down. Graph these values on the graph provided. Here’s another short youtube video with a few tricks related to this activity. Here’s and Excel file that makes it easy to calculate the average and standard deviation of 5 or 6 pressure readings. Table 1. Temperature(K) Pressure (atm) Use: http://www.atmosedu.com/physlets/SeaFloorSpreading/G1.htm to help you make a graph and then use a screen capture of that window to copy and paste your graph below. If you resize the window so that just the graph appears then you can paste the screen capture directly below without editing it. Otherwise you can paste it into a paint program, trim it up, and then copy and paste that image below. Paste Graph 1 here What is the relationship between pressure and temperature at constant volume? Using this data, predict at what temperature the pressure will become: 0.20 atm predicted temperature =__________________________ 0.1 atm predicted temperature =__________________________ 0 atm predicted temperature =__________________________ Remove heat from the chamber to get back to near 300 K with the fixed volume. The easiest way to do this is click the reset button, select constant volume, and add 100 heavy molecules back into the container. The default setting is that all new molecules go into the container at a temperature of 300K. Part 3. Constant Temperature. Select the Constant Temperature environment. (make sure you are at 300 K before you switch to constant temperature) Select Ruler from the measurement tools and use it to measure the volume of the gas in relative units. In the image below the ruler is measuring the volume to be 6.6 relative units. Vary the volume by sliding the left wall to the right or left and record at least 6 different Volume Pressure pairs. Each time change the volume you must wait for about 20 to 30 seconds before things settle down. Record the Volume Pressure pairs in the table below and then graph these values on the graph provided. Table 2. Volume (relative units) Pressure (atm) Use: http://www.atmosedu.com/physlets/SeaFloorSpreading/G2.htm to help you make a graph and then use a screen capture of that window to copy and paste your graph below. Paste Graph 2 here What is the relationship between pressure and Volume at constant Temperature? Using this data, predict at what Volume the pressure will become: 3.00 atm predicted volume =__________________________ 0.1 atm predicted volume =__________________________ Although the temperature readjusts to 300 K when constant temperature is selected, the temperature does change a bit when the volume changes. Does the temperature increase or decrease when the volume increases? Does the temperature increase or decrease when the volume decreases? The density is the mass or number of molecules per unit volume Number of molecules Relative Denisty Relative Volume Using 100 for the Number of molecules calculate the relative density for the volumes in Table 2. Record these values in Table 3 below and then graph these values on the graph provided. Here’s an online calculator for easy use. Table 3. Relative Density Pressure (atm) Use: http://www.atmosedu.com/physlets/SeaFloorSpreading/G3.htm to help you make a graph and then use a screen capture of that window to copy and paste your graph in a little bit below. (keep the Graph 3 window open as you will add to it shortly). What is the relationship between pressure and Density at constant Temperature? Paste your final version of Graph 3 here Part 4. Constant Pressure Reset the number of molecules to 100 and keep the constant temperature setting selected until the temperature settles back to 300 K for a relative volume around 6.6. Now select constant Pressure Using the heat control to add or remove heat vary the temperature from 150 K to 350 K and for each temperature measure the new volume (with the ruler tool) after everything has settled down. Record these Temperature and Volume pairs in Table 5 below and then graph these values on the graph provided (Graph 4) Table 4. Temperature(K) Volume (Relative Units) Use: http://www.atmosedu.com/physlets/SeaFloorSpreading/G4.htm to help you make a graph and then use a screen capture of that window to copy and paste your graph below. Paste Graph 4 here What is the relationship between Volume and Temperature at constant Pressure? Using this data, predict at what Temperature the volume will become : 10 Volume units predicted temperature =__________________________ 1.0 Volume units predicted temperature =__________________________ When a parcel of air is heated up near the surface it expands but its pressure stays constant because the weight of air from above stays the same. As the temperature of the parcel increases the density _______________ [lower or higher] and the air parcel ______________ [rises or sinks].