This report contains the theory behind the algorithm to find the composition of air at temperatures 200-9000 K. A C++ program for the same is hosted at my profile on GitHub.com/kcavatar.
This report contains the theory behind the algorithm to find the composition of air at temperatures 200-9000 K. A C++ program for the same is hosted at my profile on GitHub.com/kcavatar.
This lesson talks about another gas law, the Charles' Law. This is a simplify lesson for intended for the level of my students understanding. Hope it helps you too!
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As an Army veteran dedicated to lifelong learning, I bring a disciplined, strategic mindset to my pursuits. I am constantly expanding my knowledge to innovate and lead effectively. My journey is driven by a commitment to excellence, and to make a meaningful impact in the world.
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The key differences between the MDR and IVDR in the EU
2 10 How Are P And T Related
1. Launch: 2/10
Grab your binder and immediately take a seat!
Place launch paper on your desk.
Yesterday’s Benchmark Data:
96%!
Today’s Objectives: I can apply the gas laws to relations
between temperature and pressure.
2. Launch 2/10
1. What is the equation for converting
between the Celcius and Kelvin scales?
Label the variables.
3. Launch 2/10
2. Molecules in a substance at 50°C
a. move slower than molecules in a substance at 25°C
because they have less kinetic energy
b. move slower than molecules in a substance at 25°C
because they have more kinetic energy
c. move faster than molecules in a substance at 25°C
because they have less kinetic energy
d. move faster than molecules in a substance at 25°C
because they have more kinetic energy
4. Launch 2/10
3. What is the equivalent of 423K in degrees
Celsius?
a. -223°C
b. -23°C
c. 150°C
d. 696°C
8. Opening
Today’s Objective: I can apply the gas laws to
relations between temperature and pressure.
Standard – CH.4.c
Today’s Questions: How are P and T related?
10. How are P & T related?
Temperature is…
a measure of movement
°C & K
Pressure is…
a measure of random collisions
atm & mmHg
11. How are P & T related?
temperature = collisions = pressure
temperature = pressure
12. How are P & T related?
Pressure & Temperature are…
directly related change in the
same direction
In math terms…
P
= constant
T
“some number”
13. How are P & T related?
By rearranging the relationship, we can get an equation
P1 P2
starting
conditions T1 = constant = T ending
conditions
2
P1 P2
=
T1 T2
14. How are P & T related?
There is a 3 step process for solving gas equations:
1. Write down the equation and given conditions
2. Plug in for the variables
3. Solve for the unknown
15. Example #1
At 298K (room temp), the pressure inside an empty Coke
can is 1 atm. It is then thrown into a bucket of ice at
273K. What is the new gas pressure?
Step 1: Write down the equation and given conditions
P1 = 1 atm
P1 P2
= T1 = 298K
T1 T2
P2 = ?
T2 = 273K
16. Example #1
At 298K (room temp), the pressure inside an empty Coke
can is 1 atm. It is then thrown into a bucket of ice at
273K. What is the new gas pressure?
Step 2: Plug in for the variables
P1 = 1 atm
1 P1
atm P2
= T1 = 298K
T1 T2
298K 273K
P2 = ?
T2 = 273K
17. Example #1
At 298K (room temp), the pressure inside an empty Coke
can is 1 atm. It is then thrown into a bucket of ice at
273K. What is the new gas pressure?
Step 3: Solve for the unknown cross-
1 atm P2
multiply
=
✕
298K 273K
(P2)(298K) = (1 atm)(273K)
298K 298K
P2 = .92 atm
18. Example #2
The pressure of oxygen gas at 300K is reduced to from
760mmHg to 380mmHg. What is the final temperature?
Step 1: Write down the equation and given conditions
P1 = 760 mmHg
P1 P2
= T1 = 300K
T1 T2
P2 = 380 mmHg
T2 = ?
19. Example #2
The pressure of oxygen gas at 300K is reduced to from
760mmHg to 380mmHg. What is the final temperature?
Step 2: Plug in for the variables
P1 = 760 mmHg
P1 P2P2
760mmHg 380mmHg
= T1 = 300K
T
300K 1 T2T?
2 P2 = 380mmHg
T2 = ?
20. Example #2
The pressure of oxygen gas at 300K is reduced to from
760mmHg to 380mmHg. What is the final temperature?
Step 3: Solve for the unknown
760mmHg 380mmHg
300K
✕= T2
1
(380mmHg)(300K) = (760mmHg)(T2)
760mmHg 760mmHg
2 150K = T2
21. Example #3
The pressure of Cl2 gas is 1 atm at 50K. What would the
final pressure be if the temperature was raised to 100K?
Step 1: Write down the equation and given conditions
P1 = 1 atm
P1 P2
= T1 = 50K
T1 T2
P2 = ?
T2 = 100K
22. Whiteboards
Work in pairs
Trade-off marker every question
You have 60 seconds to calculate the answer
Show all of your work!
Don’t forget units!
Lift board only when prompted
23. The temperature of a gas is
raised by 50K. Draw an
arrow (up/down) to show
how pressure would be
affected.
24. The pressure of a gas is
lowered to .5 atm from STP .
Draw an arrow showing
what would happen to the
temperature.
25. A gas is sealed in a bottle at
400K and 2 atm. If put
into a freezer at 200K, what
would the new pressure be?
26. The pressure of CH4
(methane) gas at 10K is
increased from 2 atm to
10 atm. What is the new
pressure?
27. Closing
Today’s Objective: I can describe how the random
collisions between gas molecules creates pressure
on a surface.
Standard – CH.4.a
Molecular Motion Applet
28. Exit Slip
1. What is pressure?
a. a force that comes from the interaction of molecules in
a chemical bond
b. the amount of kinetic energy in a substance
c. a quantity that can be measured in mm
d. the force that a gas exerts on an object
29. Exit Slip
2. Which of the following factors effect the
force that is exerted on an object?
# of gas molecular
collisions temperature speed
I II III
a. I only
b. II only
c. II & III
d. I, II and III
30. Exit Slip
3. Which of the following relationships is
correct?
a. an increase in temperature an increase in
pressure
b. a decrease in temperature an increase in kinetic
energy
c. an increase in temperature a decrease in pressure
d. a decrease in temperature a increase in the
number and speed of collisions
31. Exit Slip
4. A soccer ball is inflated to a certain pressure
and is then heated in an oven. As it warms
up the pressure increases because
a. air molecules hit the walls of the ball less frequently
b. rubber in the soccer ball reacts with the air inside the
ball
c. air molecules speed up and collide with the wall of the
ball more often
d. air molecules diffuse quickly out of the ball
32. Exit Slip
5. Would you expect a gas at 100°C to have a
higher pressure than a gas at 0°C?
a. No, because it has less kinetic energy
b. No, because it has a higher temperature
c. Yes, because it has more random collisions
d. Yes, because it has less kinetic energy