INTRODUCTION
TO GAS LAWS
Bell Work (1/23/12)
You are about to venture out on a SCUBA
diving expedition, but first you need to brush up on your knowledge of the gas laws.
1) Summarize what you know about gases.
2) How do you think changing the temperature
of a gas affects its behavior.
3) How do you think changing the volume or
space that a gas occupies will affect the behavior of gas particles?
Objectives
You will explore the relationships between
pressure, volume, and temperature
You will be able to create graphs of the different
relationships based on your observations
You will be able to predict the outcome of a given
scenario by applying your knowledge from your graphs and observations
Kinetic Theory
Kinetic: “Moving/motion”
Recall: All matter is made of tiny
particles that are in constant motion.
○ Solids- motion is vibration
○ Liquids- particles are free to move around ○ Gas- very fast and move in straight line
Kinetic Theory
The average kinetic energy of
molecules is the temperature of the
substance
The faster the molecules move, the
higher the temperature and the slower the molecules the lower the temperature.
Properties of Gases
Expansion
Gases expand to fill any size container
Pressure
Gases exert pressure
Pressure is collisions with a container
Density
Low density
Density of gases is much lower than
densities of solids and liquids
Properties of Gases
Compressible
Gases are compressible, meaning that a
certain amount of gas can be compressed into a smaller volume
Diffusion
Diffusion is the mixing of 2 or more gases
due to collisions of molecules
Particles move from a region of higher to
Pre-simulation
Make predictions of what the following graphs would look like:
Volume (y) to Pressure (x)
Volume (y) to Temperature (x) Pressure (y) to Temperature (x)
Simulation
Verify Predictions
Verify whether or not your predictions are
correct and make any necessary changes.
Write in your own words the relationship that
exists between pressure and volume.
Write in your own words the relationship that
exists between temperature and volume.
Write in your own words the relationship that
Using your knowledge
Why should a diver not hold his/her breath underwater when ascending to an area of lesser water pressure?
Before you go
Explain why a bicycle tire looks more
inflated during the summer than winter.
A container is filled with gas and placed
in ice. What will happen to the pressure of the gas? What about the volume of the gas?
Boyle’s Law
Named for Robert Boyle
If temperature and amount of gas particles
remain constant, then pressure and volume are inversely proportional
Inversely proportional: when one increases the
other decreases
P1V1 = k
P2V2 = k
Therefore: P
1V
1=
P
2V
2Unit of volume = liters (L)
Unit of pressure is: mmHg, torr, atm, or Pascals (P)
Units of Pressure
1atm =
760 mmHg
760 torr
101.325 kPa
Standard pressure- the pressure of the air at
sea level (760mmHg, or 1 atm, or 101.3kPa)
Barometer
Pressure
=
Force
Area
Make the following Conversion
factors
Atm to torr kPa to atm
mmHg to atm kPa to mmHg atm to mmHg
Try these…
Convert:
1.727 mmHg into kPa
727mmHg x 101.325kPa 760mmHg
2.52.5 kPa into atm
3.0.729 atm into mmHg 4.522 torr into kPa
5.800.0 mmHg into atm 6.495Pa into mmHg
Examples of Boyle Law at
work
A syringe being used to draw blood
Popping a balloon
Popping ears during
elevation change
A sample of chlorine gas occupies a volume
of
946mL
at a pressure of
726mmHg
. What
is the pressure of the gas (in mmHg) if the
volume is reduced at constant temperature
to
154 mL
?
A sample of chlorine gas occupies a volume of
946mL at a pressure of 726mmHg. What is the pressure of the gas (in mmHg) if the volume is reduced at constant temperature to 154 mL?
P
1x
V
1=
P
2x
V
2P
1= 726 mmHg
V
1= 946 mL
P
2= ?
V
2= 154 mL
P
2 =P
1x
V
1V
2= 726 mmHg x 946 mL
154 mL
Charles’ Law
Name for Jacques Charles
If pressure and the amount of gas remain
constant, then Kelvin temperature and the volume of gas are directly proportional
Directly proportional: as one increases so does
the other. As one decreases so does the other.
V1/T1 = k
Why is the Kelvin scale used
exclusively in gas law calculations?
To convert
0C
K
T
(K) =
t
(
0C) + 273
All temperature must be converted to
Kelvin
Because there are no negative temperature
To convert K
0C
A sample of carbon monoxide gas
occupies 3.20 L at 125
0C. At what
temperature will the gas occupy a volume
of 1.54 L if the pressure remains constant?
A sample of carbon monoxide gas occupies 3.20 L at 125 0C. At what temperature will the gas occupy a
volume of 1.54 L if the pressure remains constant?
V
1= 3.20 L
T
1= 398 K
V
2= 1.54 L
T
2= ?
T
2=
V
2x
T
1V
1 =1.54 L x 398 K
3.20 L
= 192 K
Practice
If a paint ball CO
2tank
is at a
pressure of
2000ps
i
and you
know that
1psi
equals
51.7mmHg
, how
many
atm
of pressure
are in the tank?
Boyles law:
P
1x
V
1=
P
2x
V
2Charles law:
V
1/
T
1=
V
2/
T
2P
1V
1= P
2V
2T
1T
2A balloon is filled with hydrogen gas to a
volume of
0.5L
, and a pressure of
2.0atm
at a temperature of
25°C
. If the balloon is
then left out in the sun at a temperature of
35°C
and reaches a new volume of
2.0L
,
what is the new pressure?
Demo Time?!