Starter If the temperature of a gas increases at a constant volume, how does each of the following change?
Starter
If the temperature of a gas increases at a constant volume, how does each of the following change?
The number of collisions of gas molecules with the sides of the container
The impulse of a gas molecule when it hits the sides of the container
The pressure of the gas
The average kinetic energy of a gas molecule
The mean square speed of a gas molecule
Ideal gas law Today’s Theme:
Ideal gas law
Today’s Theme:
Learning Objectives To apply the ideal gas law in problem solving
Learning Objectives
To apply the ideal gas law in problem solving
Success Criteria Students have achieved the objective if they
Success Criteria
Students have achieved the objective if they
Know the graphs of isothermal, isobaric and isochoric processes;
analyze the thermodynamic parameters of the graphs of isothermal, isobaric, and isochoric processes;
construct graphs of isothermal, isobaric and isochoric processes in different coordinate systems (PV, PT and VT).
Review Think (3 min), Pair (3 min),
Review Think (3 min), Pair (3 min), Share (4 min)
Explain what causes pressure using the kinetic theory of gases.
How does increasing the temperature of a gas affect the root-mean-square speed? Explain your answer using the kinetic theory of gases.
Explain why decreasing the volume of a gas increases its pressure using the kinetic theory of gases.
What do you already know? Complete the tables as best you can for isothermal, isobaric, and isochoric (isovolumetric, isometric) processes
What do you already know?
Complete the tables as best you can for isothermal, isobaric, and isochoric (isovolumetric, isometric) processes.
Time: 15 min
Isothermal Process Gas Law: Boyle’s
Isothermal Process | ||||
Gas Law: | | On the graphs at below, sketch a p-V, p-T, and V-T graph for an isothermal process with increasing pressure. | ||
Equation: | pV=constant | p-V graph | p-T graph | V-T graph |
For an isothermal process in which the pressure is increasing, describe below what happens to each of the following quantities (increases, decreases, or remains constant) | ||||
Pressure | increases | |||
Volume | decreases | |||
Temperature | remains constant | |||
Mean square speed of molecules | ||||
Isobaric Process Gas Law: Charles’
Isobaric Process | ||||
Gas Law: | Charles’ Law | On the graphs at below, sketch a p-V, p-T, and V-T graph for an isobaric process with increasing temperature. | ||
Equation: | V/T=constant | p-V graph | p-T graph | V-T graph |
For an isobaric process in which the volume is increasing, describe below what happens to each of the following quantities (increases, decreases, or remains constant) | ||||
Pressure | remains constant | |||
Volume | increases | |||
Temperature | ||||
Mean square speed of molecules | ||||
Isochoric (Isometric/Isovolumetric)
Isochoric (Isometric/Isovolumetric) Process | ||||
Gas Law: | Gay-Lussac’s | On the graphs at below, sketch a p-V, p-T, and V-T graph for an isochoric process with increasing pressure. | ||
Equation: | p/T=constant | p-V graph | p-T graph | V-T graph |
For an isochoric process in which the pressure is increasing, describe below what happens to each of the following quantities (increases, decreases, or remains constant) | ||||
Pressure | increasing | |||
Volume | remains constant | |||
Temperature | increasing | |||
Mean square speed of molecules | ||||
Pair activity Use the left graph to sketch the middle graph
Pair activity
Use the left graph to sketch the middle graph.
After you have sketched the middle graph, fold your paper so that the left side of the paper is hidden.
Use your graph to find the person who has the same original graph as you.
After you find this person, work together as a pair to draw the graph on the right side.
Reflection Students will answer the following questions with a thumbs up/middle/down 1)
Reflection
Students will answer the following questions with a thumbs up/middle/down
1) I know the differences between isothermal, isobaric, and isochoric processes.
2) I can plot graphs of isobaric, isochoric, and isothermal processes.
3) I know which gas law corresponds to each isoprocess.
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