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Gas properties simulation activity answer key

04/01/2021 Client: saad24vbs Deadline: 2 Day

Gas Properties Simulation Activity


In this activity you’ll use the Gas Properties PhET Simulation


(https://phet.colorado.edu/en/simulation/gas-properties) to explore and explain the relationships


between energy, pressure, volume, temperature, particle mass, number, and speed.


This activity has 5 modules:


○ Explore the Simulation


○ Kinetic Energy and Speed


○ Kinetic Molecular Theory of Gases


○ Relationships between Gas Variables


○ Pressure and Mixtures of Gases


You will get the most out of the activity if you do the exploration first! The rest of the sections


can be worked in any order; you could work on any sections where you want to deepen your


conceptual understanding.


Part I: Explore the Simulation


Take about five minutes to explore the sim. Note at least two relationships that you observe and


find interesting.


https://phet.colorado.edu/en/simulation/gas-properties

Part II: Kinetic Energy and Speed


Sketch and compare the distributions for kinetic energy and speed at two different temperatures


in the table below. Record your temperatures (T1 and T2), set Volume as a Constant Parameter,


and use roughly the same number of particles for each experiment (aim for ~100-200). Use the


T2 temperature to examine a mixture of particles.


Tips:


T1 = __________K The Species Information and Energy Histograms tools will help.


T2 = __________K The system is dynamic so the distributions will fluctuate.


Sketch the average or most common distribution that you see.


“Heavy” Particles Only “Light” Particles Only Heavy + Light Mixture


# of particles


(~100-200)


Kinetic


Energy


Distribution


sketch for T1


Speed


Distribution


sketch for T1


Kinetic


Energy


Distribution


sketch for T2


Speed


Distribution


sketch for T2


1. Compare the kinetic energy distributions for the heavy vs. light particles at the same


temperature. Are these the same or different? What about the speed distributions?


2. Compare the kinetic energy distributions for the heavy vs. light particles at different


temperatures. Are these the same or different? What about the speed distributions?


3. Compare the kinetic energy distributions for the mixture to those of the heavy-only and light-


only gases at the same temperature. Are these the same or different? What about the speed


distributions?


4. Summarize your observations about the relationships between molecular mass (heavy vs.


light), kinetic energy, particle speed, and temperature.


Part III: Kinetic Molecular Theory (KMT) of Gases


Our fundamental understanding of “ideal” gases makes the following 4 assumptions.


Describe how each of these assumptions is (or is not!) represented in the simulation.


Assumption of KMT Representation in Simulation


1. Gas particles are separated by


relatively large distances.


2. Gas molecules are constantly in


random motion and undergo


elastic collisions (like billiard


balls) with each other and the


walls of the container.


3. Gas molecules are not attracted


or repulsed by each other.


4. The average kinetic energy of


gas molecules in a sample is


proportional to temperature (in K).


Part IV: Relationships Between Gas Variables


Scientists in the late 1800’s noted relationships between many of the state variables related to


gases (pressure, volume, temperature), and the number of gas particles in the sample being


studied. They knew that it was easier to study relationships if they varied only two parameters at


a time and “fixed” (held constant) the others. Use the simulation to explore these relationships.


Variables Constant Parameters Relationship Proportionality


(see hint below)


pressure, volume directly proportional


or


inversely proportional


volume, temperature directly proportional


or


inversely proportional


volume, number of


gas particles


directly proportional


or


inversely proportional


Hint: A pair of variables is directly proportional when they vary in the same way (one increases


and the other also increases). A pair of variables is inversely proportional when they vary in


opposite ways (one increases and the other decreases). Label each of your relationships in the


table above as directly or inversely proportional.


Part V: Pressure and Mixtures of Gases


The atmosphere is composed of many gases in different ratios, and all of them contribute to the


total atmospheric pressure. Use the simulation to explore this relationship by testing


combinations of heavy and light gases.


For each Test #, record your measurement and the make the prediction before moving on to the


next row of the table.


Test


#


Pressure


Measurement


Pressure Prediction


(greater than, equal to, less than, twice as much, half as much, etc)


1 100 Light particles =


Pressure for 100 Heavy Particles will be __________________


the pressure from Test #1.


2 100 Heavy particles =


Pressure for 200 Heavy particles will be __________________


the pressure from Test #2.


3 200 Heavy particles = Pressure for 100 Light AND 100 Heavy particles will be


__________________ the pressure from Test #3


4 100 Heavy + 100


Light particles =


Pressure for 200 Heavy AND 100 Light particles will be


__________________ the pressure from Test #4.


5 200 Heavy + 100


Light particles =


Pressure for 150 Heavy AND 50 Light particles will be


__________________ the pressure from Test #5.


6 150 Heavy + 50 Light


particles =


Write your own prediction:


1. For Test 6 (150 Heavy + 50 Light particles), what is the pressure contribution from the heavy


particles (Pheavy)? How did you figure this out?


2. What is the pressure contribution from the light particles (Plight)? How did you figure this


out?


3. For each test above, calculate the mole fraction of each gas (number of particles of that type /


total particles). Find a relationship between the mole fraction and the pressure contribution of


each type of gas.


4. The atmosphere is composed of about 78% nitrogen, 21% oxygen, and 1% argon. Typical


atmospheric pressure in Boulder, Colorado is about 0.83 atm. What is the pressure contributed


by each gas?

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