Matter: Solids, Liquids, Gases, and Fluids
L12
-
FLUIDS-1
•
FLUIDS
–
liquids
–
gases
•
sand, snow, or grain
(granular materials)
•
While kernels of corn are
solid, they behave more
like a liquid when flowing
through a silo
FLUIDS
Stuff that
FLOWS
1
States of Matter
•
Comes in three states – solid, liquid, gas
•
So far we have only dealt with
solid
objects
blocks, sticks, balls, etc.
•
The study of fluids is more complicated
because fluids are complicated since
they
do not have any particular shape
•
Fluids are not rigid bodies
•
But, Newton’s laws can be applied to fluids
2
Atoms – the basic pieces of stuff
•
All matter is composed of
atoms (atomic hypothesis)
•
If we imagine cutting an
object into smaller and
smaller pieces, we eventually
get down to atoms
•
Diameter about 10
-10
m
•
Acceptance of the atomic
hypothesis evolved over
about a century 1800-1900
3
Differences between solids, liquids and gases
1.
The main difference is the distance between the atoms
–
The atoms of a solid are closer to each other than the
atoms in a liquid
–
the atoms in a liquid are closer to each other than the
atoms in a gas, and
2.
The strength of the forces between the atoms.
–
The forces between atoms in a solid are stronger than the
forces between atoms in a liquid
–
The forces between atoms in a liquid are stronger than the
forces between atoms in a gas
4
SOLID LIQUID
GAS
Mass Density
(
, Greek rho)
•
Density is one way to characterize matter
it
depends on how close the atoms are to each other
•
The mass density is the amount of mass in a unit
volume of the substance
•
It is measured in kilograms per cubic meter (kg/m
3
)
or g/cm
3
(g/cc) = 1000 kg/m
3
5
A few mass densities
6
•
The air molecules
(oxygen and nitrogen)
in the box bounce
around in all directions
•
When they hit the wall
they give it an impulse
•
The average effect of
many, many molecules
hitting the walls produces
a force on the wall
•
The size of this force
depends on the
surface
area
of the wall – which
depends on the container
•
I
t
m
a
k
e
s
m
o
r
e
s
e
n
s
e
t
o
g
i
v
e
t
h
e
f
o
r
c
e
o
n
a
u
n
i
t
s
u
r
f
a
c
e
-
-
-
P
R
E
S
S
U
R
E
Gases: air pressure
7
Definition of pressure
•
P
r
e
s
s
u
r
e
=
f
o
r
c
e
p
e
r
u
n
i
t
a
r
e
a
P
=
f
o
r
c
e
/
a
r
e
a
=
F
/
A
•
The unit of pressure is Newtons per m
2
•
One N/m
2
is called one Pascal (Pa)
•
A
n
o
t
h
e
r
c
o
m
m
o
n
l
y
u
s
e
d
u
n
i
t
i
s
p
o
u
n
d
s
p
e
r
s
q
u
a
r
e
i
n
c
h
(
p
s
i
)
.
T
h
e
s
e
a
r
e
t
h
e
u
n
i
t
s
o
n
a
t
y
p
i
c
a
l
t
i
r
e
p
r
e
s
s
u
r
e
g
a
u
g
e
8
The pressure in a gas
•
The more molecules in the box (the number
per unit volume) the larger the pressure
•
The pressure of a gas is also larger if the
molecules have larger speeds (faster)
•
At a higher temperature the molecules have
more energy and thus higher speeds
•
Thus the pressure depends on 2 factors:
p
r
e
s
s
u
r
e
n
u
m
b
e
r
d
e
n
s
i
t
y
x
t
e
m
p
e
r
a
t
u
r
e
proportional to
Ideal gas law
9
The Earth’s atmosphere
•
The atmosphere is a thin
layer of air surrounding
the earth
•
It extends upward to
about 6 miles
•
It is held in place by
gravity.
•
The moon has no
atmosphere because its
gravity is not strong
enough to hold on to one
atmosphere
If the earth were a
basketball, the
atmosphere would be
the thickness of a
sheet of paper.
10
Atmospheric pressure
•
At the earth’s surface the pressure due to the
atmosphere is about 100,000 N/m
2
(10
5
N/m
2
)
or just 1 atmosphere (atm)
•
units:
1 N/m
2
= 1 Pa (Pascal)
•
This means that over a 1 square meter of
surface area the atmosphere exerts a force of
100,000 N/m
2
x 1 m
2
= 100,000 N
•
This amounts to about 22,500 lbs or 11 tons!
•
This corresponds to a mass of 10,000 kg
•
Why don’t we seem to notice this force?
11
The power of atmospheric pressure
•
We typically do not ‘feel’ atmospheric
pressure because it is the same on all
sides (inside and outside) of objects.
•
For example, the pressure is the
same on both sides of a window.
•
The pressure inside our bodies is the
same as the pressure outside.
•
You feel atmospheric pressure on your
eardrums when you go up a mountain or
an elevator to the top of a tall building.
12
Magdeburg hemispheres
When under vacuum
there is about 1 ton of
force holding the
hemisphere’s together
13
In 1654 two teams
of horses try to
separate the halves
of a sphere with the
air pumped out.
Atmospheric pressure in action
When the air is removed
from inside the gas can,
atmospheric pressure
on
the outside is unbalanced
and crushes the can.
1 US
Gallon
Vacuum
pump
Suction cups
also
use atmospheric
pressure to hold
things together.
14
LIQUIDS
•
Liquids cannot support themselves
•
one layer of a fluid cannot exert a shear
force (sidewise)to prevent slipping
Liquids must have a container
15
Variation of pressure with
depth in a liquid
•
Anybody the does scuba
diving knows that the
pressure increases as you
dive to greater depths
•
The increasing water
pressure with depth limits
how deep a submarine can
go
crush depth
•
about 2400 ft for the US
Seawolf class subs, 4000 ft
for titanium soviet subs.
16
The deeper you go, the higher the pressure
P
atm
•
The hypothetical volume
of liquid of volume A x h
is
at rest
•
Thus, the net force on
this volume must = 0
•
F
bottom
= F
top
+ W
•
Therefore: F
bottom
must
be greater than F
top
•
The pressure on the
bottom is higher than
pressure on top
•
Pressure increases with
depth
17
Force = Pressure x Area
F = P A
How much does P increase with depth?
•
P
(
h
)
=
P
a
t
m
+
g
h
w
h
e
r
e
i
s
t
h
e
d
e
n
s
i
t
y
o
f
t
h
e
l
i
q
u
i
d
(
k
g
/
m
3
)
•
At the surface of a body of water
the pressure is 1 atm = 100,000 Pa
•
E
x
a
m
p
l
e
:
A
s
w
e
g
o
d
o
w
n
i
n
t
o
t
h
e
w
a
t
e
r
,
at what depth does the pressure
double
, from 1 atm (100,000 Pa)
to 2 atm (200,000 Pa)?
P
(
h
)
=
2
0
0
,
0
0
0
P
a
=
1
0
0
,
0
0
0
P
a
+
g
h
g
h
=
1
0
0
,
0
0
0
P
a
=
1
0
0
0
(
k
g
/
m
3
)
x
1
0
(
m
/
s
2
)
x
h
(
m
)
h = 10 m, or roughly 32 feet.
18
this layer of fluid must
support all the fluid
above it
the block on the bottom
supports all the blocks
above it
Why does pressure increase with depth?
Put simply, the deeper you go, the more water
you have pushing down on you from above.
19
Measuring atmospheric
pressure - Barometers
P
ATM
P
ATM
Inverted closed
tube filled with
liquid
The column of liquid is
held up by the pressure of
the liquid in the tank. Near
the surface this pressure
is atmospheric pressure, so
the atmosphere holds the
liquid up.
P
liquid
20
Barometric pressure
Atmospheric pressure
can support a column
of water 10.3 m high,
or a column of
mercury (which is
13.6 times as dense
as water) 30 inches
high
the mercury
barometer
Today’s weather
21
Pascal’s Vases
The fluid levels are the same in all each
tube,
regardless
of their shape
22
Matter exists in various states - solid, liquid, gas, and fluid. Solids have atoms closely packed, liquids have more freedom but still cohesion, gases have atoms spread out, and fluids flow like liquids or gases. Mass density characterizes matter based on atom proximity. Gas pressure results from molecules colliding with container walls. Atoms form the basic unit of matter in the atomic hypothesis. Explore the differences between solids, liquids, and gases.
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Presentation Transcript
L12- FLUIDS-1 FLUIDS Stuff that FLOWS FLUIDS liquids gases sand, snow, or grain (granular materials) While kernels of corn are solid, they behave more like a liquid when flowing through a silo https://www.youtube.com/watch?v=Rqwg8JMR5vE https://www.youtube.com/watch?v=Rqwg8JMR5vE 1
States of Matter Comes in three states solid, liquid, gas So far we have only dealt with solid objects blocks, sticks, balls, etc. The study of fluids is more complicated because fluids are complicated since they do not have any particular shape Fluids are not rigid bodies But, Newton s laws can be applied to fluids 2
Atoms the basic pieces of stuff All matter is composed of atoms (atomic hypothesis) If we imagine cutting an object into smaller and smaller pieces, we eventually get down to atoms Diameter about 10-10 m Acceptance of the atomic hypothesis evolved over about a century 1800-1900 3
Differences between solids, liquids and gases 1. The main difference is the distance between the atoms The atoms of a solid are closer to each other than the atoms in a liquid the atoms in a liquid are closer to each other than the atoms in a gas, and 2. The strength of the forces between the atoms. The forces between atoms in a solid are stronger than the forces between atoms in a liquid The forces between atoms in a liquid are stronger than the forces between atoms in a gas 4 SOLID LIQUID GAS
Mass Density (, Greek rho) Density is one way to characterize matter it depends on how close the atoms are to each other The mass density is the amount of mass in a unit volume of the substance It is measured in kilograms per cubic meter (kg/m3) or g/cm3 (g/cc) = 1000 kg/m3 1 m One cubic meter 1 kg 1 m 1 m 5
A few mass densities Substance lead Density (kg / m3) 11,000 water air aluminum 1,000 1.25 2,700 iron 2,300 mercury 13,600 6
Gases: air pressure The average effect of many, many molecules hitting the walls produces a force on the wall The size of this force depends on the surface area of the wall which depends on the container It makes more sense to give the force on a unit surface --- PRESSURE The air molecules (oxygen and nitrogen) in the box bounce around in all directions When they hit the wall they give it an impulse 7
Definition of pressure Pressure = force per unit area P = force / area = F / A The unit of pressure is Newtons per m2 One N/m2 is called one Pascal (Pa) Another commonly used unit is pounds per square inch (psi). These are the units on a typical tire pressure gauge 8
The pressure in a gas The more molecules in the box (the number per unit volume) the larger the pressure The pressure of a gas is also larger if the molecules have larger speeds (faster) At a higher temperature the molecules have more energy and thus higher speeds Thus the pressure depends on 2 factors: pressure number density x temperature Ideal gas law proportional to 9
The Earths atmosphere atmosphere The atmosphere is a thin layer of air surrounding the earth It extends upward to about 6 miles It is held in place by gravity. The moon has no atmosphere because its gravity is not strong enough to hold on to one If the earth were a basketball, the atmosphere would be the thickness of a sheet of paper. 10
Atmospheric pressure At the earth s surface the pressure due to the atmosphere is about 100,000 N/m2 (105 N/m2) or just 1 atmosphere (atm) units: 1 N/m2 = 1 Pa (Pascal) This means that over a 1 square meter of surface area the atmosphere exerts a force of 100,000 N/m2 x 1 m2 = 100,000 N This amounts to about 22,500 lbs or 11 tons! This corresponds to a mass of 10,000 kg Why don t we seem to notice this force? 11
The power of atmospheric pressure We typically do not feel atmospheric pressure because it is the same on all sides (inside and outside) of objects. For example, the pressure is the same on both sides of a window. The pressure inside our bodies is the same as the pressure outside. You feel atmospheric pressure on your eardrums when you go up a mountain or an elevator to the top of a tall building. 12
Magdeburg hemispheres In 1654 two teams of horses try to separate the halves of a sphere with the air pumped out. When under vacuum there is about 1 ton of force holding the hemisphere s together 13
Atmospheric pressure in action When the air is removed from inside the gas can, atmospheric pressure on the outside is unbalanced and crushes the can. Suction cups also use atmospheric pressure to hold things together. Vacuum pump 1 US Gallon 14
LIQUIDS Liquids cannot support themselves one layer of a fluid cannot exert a shear force (sidewise)to prevent slipping Liquids must have a container 15
Variation of pressure with depth in a liquid Anybody the does scuba diving knows that the pressure increases as you dive to greater depths The increasing water pressure with depth limits how deep a submarine can go crush depth about 2400 ft for the US Seawolf class subs, 4000 ft for titanium soviet subs. 16
The deeper you go, the higher the pressure The hypothetical volume of liquid of volume A x h is at rest Thus, the net force on this volume must = 0 Fbottom = Ftop + W Therefore: Fbottom must be greater than Ftop The pressure on the bottom is higher than pressure on top Pressure increases with depth Patm PtopA A h W PbottomA Force = Pressure x Area F = P A 17
How much does P increase with depth? P(h) = Patm + g h where is the density of the liquid (kg/m3) At the surface of a body of water the pressure is 1 atm = 100,000 Pa Example: As we go down into the water, at what depth does the pressure double, from 1 atm (100,000 Pa) to 2 atm (200,000 Pa)? P(h) = 200,000 Pa = 100,000 Pa + g h g h = 100,000 Pa = 1000 (kg/m3)x 10 (m/s2) x h (m) h = 10 m, or roughly 32 feet. 100,000 Pa h P(h) 18
Why does pressure increase with depth? this layer of fluid must support all the fluid above it the block on the bottom supports all the blocks above it Put simply, the deeper you go, the more water you have pushing down on you from above. 19
Measuring atmospheric pressure - Barometers Inverted closed tube filled with liquid The column of liquid is held up by the pressure of the liquid in the tank. Near the surface this pressure is atmospheric pressure, so the atmosphere holds the liquid up. PATM PATM Pliquid 20
Barometric pressure Atmospheric pressure can support a column of water 10.3 m high, or a column of mercury (which is 13.6 times as dense as water) 30 inches high the mercury barometer Today s weather 21
Pascals Vases The fluid levels are the same in all each tube, regardless of their shape 22
