# University of Auckland Ideal Gas Law Simulation & PV Diagram Lab Report This experiment explores the relation between the quantity of pressure P, volume V,

University of Auckland Ideal Gas Law Simulation & PV Diagram Lab Report This experiment explores the relation between the quantity of pressure P, volume V,temperature T of an ideal gas of N number of particles. Where n is number of moles = N/(Avogadro number) and R is the gas constant. Use the Answers Page (the last page) to input all your answers. Course and Section_______
Names ___________________________
Date___________________
___________________________
IDEAL GAS LAW SIMULATION
Introduction
This experiment explores the relation between the quantity of pressure P, volume V,
temperature T of an ideal gas of N number of particles.
???? = ??????
Where n is number of moles = N/(Avogadro number) and R is the gas constant.
Use the Answers Page (the last page) to input all your answers.
1  Simulation: exploring the relations between P,V,N,T
Open the simulation (https://phet.colorado.edu/sims/html/gas-properties/latest/gasproperties_en.html) and select Explore
Use the pump to add some particles.
1.1 For a fixed N, which quantity(ies) will increase the pressure if you increase it(them) ?
1.2 For a fixed N, which quantity(ies) will increase the pressure if you decrease it(them) ?
1.3 For a fixed V, which quantity(ies) will increase the pressure if you increase it(them) ?
Select the Collision Counter and click on the green play button to start it.
1.4 For a fixed V, which quantity(ies) will increase the collisions if you increase it(them) ?
1.5 If you decrease V, does the number of collisions decrease ?
Add some red particles to obtain a mix of blue and red particles.
1.6 Do the red particle move at the same speed of the blue particles ?
1.7 Are the red particles more massive than the blue particles ?
By clicking on Particles, set N = 400 of the blue particles and N = 0 red particles. Decrease
the volume to its minimal possible value.
1.8 Calculate the minimum volume. Use the Ideal Gas Law
2  Simulation: Ideal Gas Law
Using the same simulation select Ideal. Use the pump to add some particles.
Use the following letters to provide your answers: E = Equal, B = Bigger, S = Smaller, I =
Increases, D = Decreases, NC = No Change, Y = Yes, N = No
Set the volume to be constant.
2.1 What happens to P if you increase T ?
2.2 What happens to P if you increase N ?
Set the temperature to be constant.
2.3 What happens to P if you increase N ?
2.4 What happens to V if you increase N ?
Start over and click on Particles and add 100 heavy (blue) particles. Set the pressure to be constant
with variable volume ?V. Temperature at 300 K. Now add 50 more particle.
2.5 How did the volume change ?
Next you want to find the work done by gas as the number of particles changed from 100 to 150 while
P and T stay constant.
2.6 Which formula gives the work done by a gas when the volume changes at constant pressure ?
2.7 Calculate the work done by the gas. Use the ideal gas law knowing that nR = Nk B where
k B = 1.38×10 -23 J/K is the Boltzmann constant.
3  Simulation: Kinetic Theory
Using the same simulation select Energy. Use the pump to add some particles and click to
display the Kinetic Energy (KE) as well. By looking at the plots
3.1 The number of particles with low KE is __ than the number of particles with high KE.
3.2 The number of particles with low speed is__than the number of particles with high
speed.
3.3 Do the plot of the speed and KE perfectly match?
4  Simulation: PV diagram
Open this simulation (http://physics.bu.edu/~duffy/HTML5/PV_diagram.html)
Start by setting the volume = 6 L and Temperature = 600 K.
4.1 As you decrease the volume how does the pressure change ?
4.2 As you decrease the temperature how does the pressure change ?
4.3 As you increase the temperature how does speeds of the gas molecules change ?
4.4 What is the value of the product nR for in this simulation ?
Set the temperature to 400 K.
4.5 For which value of the volume is the pressure 200 kPa ?
4.6 For which value of the volume is the pressure 300 kPa ? Use the ideal gas law to calculate the
precise value and use the simulation to verify your answer.
5  Experimental set of data.
A physicists performs an experiment to evaluate the number of moles of a gas inside a
container. The container is kept at constant room temperature of 23 °C and is built in such a
way that the number of moles stays constant. The physicist changes the volume to different
values and measures the corresponding (absolute) pressures. The table below shows the
results of the experiment.
V
50 ml
45 ml
40 ml
35 ml
30 ml
25 ml
P
129 kPa
142 kPa
160 kPa
182 kPa
213 kPa
256 kPa
Make a plot of P vs 1/V (if you plot P vs V the plot is not liner) and calculate the slope of it.
5.1 Value of the slope =
Assuming the gas obeys the ideal gas law, use the value of the slope to find the number of
moles. Pay attention in using the correct units for all the quantities. For example the gas
constant R has the value 8.314 if V is expressed in m 3 , P in Pascal and T in degrees Kelvin.
5.2 Number of mole n =
Course and Section_______
Names ___________________________
Date___________________
___________________________
IDEAL GAS LAW SIMULATION
1.1
1.2
1.3
1.4
1.5
1.6
1.7
1.8
2.1
2.2
2.3
2.4
2.5
2.6
2.7
3.1
3.2
3.3
4.1
4.2
4.3
4.4
4.5
4.6
5.1
5.2

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