Gas Laws and Pressure Units

 
Gas Law
 
Mrs. Meadows
 
What is Pressure?
 
Pressure – force extended on something
Pressure (P) will have different units throughout this
unit HOWEVER the unit you must use is (atm)
 
Standard pressure = 1 atm
 conversion factors
  
760 mm Hg   = 1 atm
  
101.3 kPa = 1 atm
 
Converting units of Pressure
 
How many atm is 780 mmgH?
 
 
 
How many atm is 104.23 kPa?
 
https://www.youtube.com/watch?v=ELNEqTZ
yhxw
 
examples
 
340 mmHg = _____________ atm
 
 
204 kPa = ________________ atm
 
https://www.youtube.com/watch?v=7cfcFegx
9b4
 
What is STP?
 
Standard temperature and presssure
0 Kelvin and 1 atm
 
What is volume?
 
Volume- How large something is
 
The units can be in liters (l) or milliliters (ml)
 
What is temperature?
 
Temperature- how hot something is
 
The standard unit of temperature is 273 K
All temperature must be converted to Kelvins
 
Kelvin = 
0
C + 273
 
What is Daltons Law of partial
pressure?
 
The pressure of each gas in a mixture
 
The total pressure of a mixture of gases is
equal to the sum of the partial pressures of
each gas in the mixture
 
What is the formula?
 
 
 
P
t
o
t
a
l
 
=
 
P
1
 
+
 
P
2
 
+
 
P
3
 
+
 
.
 
.
 
.
 
P
t
o
t
a
l
 
=
 
P
1
 
+
 
P
2
 
+
 
P
3
 
+
 
.
 
.
 
.
 
P
H2
 =  2.4 atm
 
P
He
 =  6.0 atm
 
P
total
 = 2.4 + 6.0   =
  
  8.4 atm
 
Example 1
 
Example 2
 
If the total pressure of a mixture is 16.7 atm
and the partial pressure of gas 1 is 5.6 atm
and gas 2 is 4.76 atm, what is the partial
pressure of gas 3?
 
https://www.youtube.com/watch?v=TpYR4v-
3IMg
 
What is Boyles Law
 
Relationship between 
Volume
 and 
Pressure
The pressure of gas is inversely related to its
volume.
If volume decrease, the pressure increases.
 
What is the formula?
 
 
 
P
1
V
1
 = P
2
V
2
 
 
Where P is the pressure and V is the volume
 
Example 1
 
What is the new volume (L) of a 8.0 L sample
of gas if the initial pressure is at 550 mm Hg
after its pressure is changed to 2200 mmHg?
 
 
https://www.youtube.com/watch?v=noVzvUJ
uxJw
 
Example 2
 
 
A gas occupies 16.2 liters at .749 atm. What is
the pressure if the volume becomes 18.2 L?
 
 
 
https://www.youtube.com/watch?v=DJtCZ8a65
24
 
Example 3
 
 
At an unknown pressure a gas in contained in
6.5 L. However, at standard pressure, its
volume was measured to be 8.00 L. What was
the unknown pressure?
 
https://www.youtube.com/watch?v=KKeZBgHD
_go
 
What is charles law?
 
Relationship between 
Temperature
 and
Volume
Temperature of a gas in kelvin is directly
related to the volume
When the temperature increase so does the
volume
 
What is the formula?
 
 
 
V
1
T
2 
 =
 
V
2
T
1
 
Where T in temperature (K) and V is volume
 
Example 1
 
A balloon has a volume of 785 mL at 21°C. If
the temperature drops to 0°C, what is the
new volume of the balloon?
 
https://www.youtube.com/watch?v=KnHT0wmu
Kj4
 
Example 2
 
If 14.1 liter of hydrogen at 26.0 °C is expanded
to 70 liters, what must the new temperature be?
 
https://www.youtube.com/watch?v=KnHT0wmu
Kj4
 
Example 3
 
The temperature of a 4.60 L sample of gas is
changed from 16.0 °C to 27.0 °C. What will the
volume of this gas be at the new temperature?
 
https://www.youtube.com/watch?v=97Uqh_g28
fk
 
What is Gay- Lussac Law?
 
Relationship between 
Pressure
 and
Temperature
When pressure and temperature are directly
related
When the pressure increases the temperature
will also increase
 
What is the formula?
 
 
P
1
T
2 
 = P
2
T
1
 
Where P is pressure (atm) and T is temperature
(K)
 
Example 1
 
A gas has a pressure of 6.58 kPa at 540 K. What
will the pressure be at 210. K?
 
https://www.youtube.com/watch?v=jfin-
MwoUwQ
 
Example 2
 
Hydrogen has a pressure of 799.0 mm Hg at 55.0
°C. What is the temperature at standard
pressure?
 
https://www.youtube.com/watch?v=c0nWAZZb
Q_4
 
Example 3
 
If argon is cooled from 383.0 K to 273.15 K, what
final pressure would result if the original
pressure was 1.64 atm?
 
https://www.youtube.com/watch?v=YEslriDHn4
w
 
What is the combined gas law?
 
Is used when there is a change in
volume, temperature, or pressure
 
What is the formula?
 
Example 1
 
  A toy balloon has an internal pressure of 1.05
atm and a volume of 5.0 L. If the temperature
where the balloon is released is 20° C, what will
happen to the volume when the balloon rises to
an altitude where the pressure is 0.65 atm and
the temperature is –15° C?
 
https://www.youtube.com/watch?v=3rW-
SiQtEdg
 
Example 2
 
What is the volume of gas at 3.40 atm and
400.0 K, if its original volume was 500.0 L at
0.250 atm and 500.0 K?
 
https://www.youtube.com/watch?v=rHSVytU
PN98
 
Example 3
 
Carbon monoxide gas occupies 1.25 liters at
25.7 °C and 1785 mm Hg. Determine the
temperature at which the gas will occupy 6.250
L at 1.50 atm.
 
OMIT (DO NOT WORRY ABOUT THIS PROBLEM)
 
What is the formula for ideal gas law?
 
PV = nRT
 
Where P is pressure (atm)
  
   V is volume (L)
  
   n is mole
             R  is 0.0821
             T is temperature (K)
 
Example 1
 
What is the number of moles of a gas that is at
29.0°C and 106.75 kPa and occupies 70.3 L?
 
 
https://www.youtube.com/watch?v=QDol4ZTM
nkM
 
Example 2
 
0.36 moles of CO
2
 is contained in a 4.00 L
container at 27.0 °C. What is the pressure in this
container?
 
https://www.youtube.com/watch?v=jlaWE-
Ulj28
 
Avogadro's Law
 
Back to moles 
 
Remember 1 mole = 6.02 x 10
23 
particles
     
1 mole = molar mass
 
New: 1 mole = 22.4 L
 
Example 1
 
Convert 4.38 x10
23 
molecules of CO to Liters.
 
 
https://www.youtube.com/watch?v=2yOY--
rvT9g
 
Example 2
 
4.467 liters of oxygen are in a container.
Covert this amount to grams.
 
https://www.youtube.com/watch?v=ySzd_EA
UQBo
 
Example 3
 
How many liters of CO
4
 are in 3.74 moles?
 
 
https://www.youtube.com/watch?v=COZNLA6
6LUE
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Gas laws relate pressure, volume, and temperature of gases in various units like atmospheres (atm), mmHg, kPa. Standard pressure is 1 atm with conversion factors. Understanding concepts such as STP, volume, temperature, and Dalton's Law of partial pressure is crucial for solving gas law problems. Examples and formulas illustrate how to convert pressure units and calculate partial pressures in gas mixtures.

  • Gas Laws
  • Pressure Units
  • Conversion Factors
  • STP
  • Daltons Law

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  1. Gas Law Mrs. Meadows

  2. What is Pressure? Pressure force extended on something Pressure (P) will have different units throughout this unit HOWEVER the unit you must use is (atm) Standard pressure = 1 atm conversion factors 760 mm Hg = 1 atm 101.3 kPa = 1 atm

  3. Converting units of Pressure How many atm is 780 mmgH? How many atm is 104.23 kPa? https://www.youtube.com/watch?v=ELNEqTZ yhxw

  4. examples 340 mmHg = _____________ atm 204 kPa = ________________ atm https://www.youtube.com/watch?v=7cfcFegx 9b4

  5. What is STP? Standard temperature and presssure 0 Kelvin and 1 atm

  6. What is volume? Volume- How large something is The units can be in liters (l) or milliliters (ml)

  7. What is temperature? Temperature- how hot something is The standard unit of temperature is 273 K All temperature must be converted to Kelvins Kelvin = 0C + 273

  8. What is Daltons Law of partial pressure? The pressure of each gas in a mixture The total pressure of a mixture of gases is equal to the sum of the partial pressures of each gas in the mixture

  9. What is the formula? Ptotal= P1+ P2+ P3+ . . .

  10. Example 1 Ptotal= P1+ P2+ P3+ . . . Ptotal = 2.4 + 6.0 = 8.4 atm PH2 = 2.4 atm PHe = 6.0 atm

  11. Example 2 If the total pressure of a mixture is 16.7 atm and the partial pressure of gas 1 is 5.6 atm and gas 2 is 4.76 atm, what is the partial pressure of gas 3? https://www.youtube.com/watch?v=TpYR4v- 3IMg

  12. What is Boyles Law Relationship between Volume and Pressure The pressure of gas is inversely related to its volume. If volume decrease, the pressure increases.

  13. What is the formula? P1V1 = P2V2 Where P is the pressure and V is the volume

  14. Example 1 What is the new volume (L) of a 8.0 L sample of gas if the initial pressure is at 550 mm Hg after its pressure is changed to 2200 mmHg? https://www.youtube.com/watch?v=noVzvUJ uxJw

  15. Example 2 A gas occupies 16.2 liters at .749 atm. What is the pressure if the volume becomes 18.2 L? https://www.youtube.com/watch?v=DJtCZ8a65 24

  16. Example 3 At an unknown pressure a gas in contained in 6.5 L. However, at standard pressure, its volume was measured to be 8.00 L. What was the unknown pressure? https://www.youtube.com/watch?v=KKeZBgHD _go

  17. What is charles law? Relationship between Temperature and Volume Temperature of a gas in kelvin is directly related to the volume When the temperature increase so does the volume

  18. What is the formula? V1T2 =V2T1 Where T in temperature (K) and V is volume

  19. Example 1 A balloon has a volume of 785 mL at 21 C. If the temperature drops to 0 C, what is the new volume of the balloon? https://www.youtube.com/watch?v=KnHT0wmu Kj4

  20. Example 2 If 14.1 liter of hydrogen at 26.0 C is expanded to 70 liters, what must the new temperature be? https://www.youtube.com/watch?v=KnHT0wmu Kj4

  21. Example 3 The temperature of a 4.60 L sample of gas is changed from 16.0 C to 27.0 C. What will the volume of this gas be at the new temperature? https://www.youtube.com/watch?v=97Uqh_g28 fk

  22. What is Gay- Lussac Law? Relationship between Pressure and Temperature When pressure and temperature are directly related When the pressure increases the temperature will also increase

  23. What is the formula? P1T2 = P2T1 Where P is pressure (atm) and T is temperature (K)

  24. Example 1 A gas has a pressure of 6.58 kPa at 540 K. What will the pressure be at 210. K? https://www.youtube.com/watch?v=jfin- MwoUwQ

  25. Example 2 Hydrogen has a pressure of 799.0 mm Hg at 55.0 C. What is the temperature at standard pressure? https://www.youtube.com/watch?v=c0nWAZZb Q_4

  26. Example 3 If argon is cooled from 383.0 K to 273.15 K, what final pressure would result if the original pressure was 1.64 atm? https://www.youtube.com/watch?v=YEslriDHn4 w

  27. What is the combined gas law? Is used when there is a change in volume, temperature, or pressure

  28. What is the formula?

  29. Example 1 A toy balloon has an internal pressure of 1.05 atm and a volume of 5.0 L. If the temperature where the balloon is released is 20 C, what will happen to the volume when the balloon rises to an altitude where the pressure is 0.65 atm and the temperature is 15 C? https://www.youtube.com/watch?v=3rW- SiQtEdg

  30. Example 2 What is the volume of gas at 3.40 atm and 400.0 K, if its original volume was 500.0 L at 0.250 atm and 500.0 K? https://www.youtube.com/watch?v=rHSVytU PN98

  31. Example 3 Carbon monoxide gas occupies 1.25 liters at 25.7 C and 1785 mm Hg. Determine the temperature at which the gas will occupy 6.250 L at 1.50 atm. OMIT (DO NOT WORRY ABOUT THIS PROBLEM)

  32. What is the formula for ideal gas law? PV = nRT Where P is pressure (atm) V is volume (L) n is mole R is 0.0821 T is temperature (K)

  33. Example 1 What is the number of moles of a gas that is at 29.0 C and 106.75 kPa and occupies 70.3 L? https://www.youtube.com/watch?v=QDol4ZTM nkM

  34. Example 2 0.36 moles of CO2is contained in a 4.00 L container at 27.0 C. What is the pressure in this container? https://www.youtube.com/watch?v=jlaWE- Ulj28

  35. Avogadro's Law Back to moles Remember 1 mole = 6.02 x 1023 particles 1 mole = molar mass New: 1 mole = 22.4 L

  36. Example 1 Convert 4.38 x1023 molecules of CO to Liters. https://www.youtube.com/watch?v=2yOY-- rvT9g

  37. Example 2 4.467 liters of oxygen are in a container. Covert this amount to grams. https://www.youtube.com/watch?v=ySzd_EA UQBo

  38. Example 3 How many liters of CO4 are in 3.74 moles? https://www.youtube.com/watch?v=COZNLA6 6LUE

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