On Mon, 20 Feb 2012 02:18:01 +0100, Poutnik <pou...@privacy.invalid>
wrote:
>In article <
mfd2k7hc8k9sistqa...@4ax.com>,
>
richard....@comcast.net says...
>>
>
>> Reducing container size should not change elastic ball KE, unless a
>> piston added energy. A statistical way of achieving this is to time
>> the volume reduction to when the balls are only on one side of the
>> container. Therefore, increasing (collision) pressure does not
>> require work. KE is the same before and after compression and
>> pressure is not energy.
>
>Unfortunately piston always adds energy, because
>it is too slow to stop before every molecule hit.
You added a piston? I described volume reduction through random
molecule motion, not a piston.
A shutter (instead of a piston) could provide containment at 1/2
volume. By chance, are you claiming that random motion CANNOT result
in all molecules being in only one side of a container?
I used the scenario of shutter compression v. piston compression to
show that the existence of a change in compression energy determines
existence of heat production, v. change in speed in the 'frame of
resting ball,' as a cause of heat production.
With the shutter, gas collision energy does not change during gas
compression and expansion. In reality, mechanical gas compression
does require work (against the repulsive force between molecules) and
results in a temperature increase. Kinetic theory does not recognize
compression energy and the 4 recognized intermolecular forces are
ATTRACTIVE.
http://en.wikipedia.org/wiki/Intermolecular_force
No macroscopic gas molecule collision is elastic. Colliding molecules
cannot know if they are in the 'frame of resting ball,' or in a
macroscopic frame.
For example, let a fan accelerate air to the speed of sound within a
closed circuit wind tunnel. If all collisions were indeed elastic,
each cycle through the fan adds another speed of sound increment. If
the gas molecules travel in the 'frame of resting ball,' temperature
will correspondingly increase during each increment.
In compression theory, NO collision is elastic. Surface drag
(proportional to v^2) would dissipate the fan caused velocity (by
means of inelastic collisions) each cycle.
>But even though, it is equivalent to isothermic decreasing of volume,
In compression theory, piston compression includes conversion of
compression energy into internal energy. During isothermal
compression, some compression energy and some internal energy convert
to the heat energy being removed from the system.
In kinetic theory, random molecular motion can cause the reduction of
volume. Therefore, compression energy is zero. The two do not seem
equivalent.
I am not comfortable with the temperature changes that occur with
kinetic molecules. Kinetic theory assumes elastic collisions. "The
rapidly moving particles constantly collide among themselves and with
the walls of the container. All these collisions are perfectly
elastic"
http://en.wikipedia.org/wiki/Kinetic_theory_of_gases
Kinetic theory also assumes gas KE is a function of temperature. "The
average kinetic energy of the gas particles depends only on the
temperature of the system."
http://en.wikipedia.org/wiki/Kinetic_theory_of_gases
You claimed collisions located in the 'frame of resting ball,' can
change temperature. I claim that frame does give elastic collisions
the ability to change temperature. If a collision can increase
temperature, than the collision can contribute to change of phase
energy. Elastic collisions cannot convert KE into phase change energy
(heat of vaporization,) w/o violating the conservation of energy law.
I am not comfortable with a piston adding force x distance. Kinetic
theory substitutes intermittent collisions in all kinetic equations
that use force. Force x distance requires force along the entire
distance. The time between collisions with a container is much
greater than the time during (instantaneous) collisions.
"The time during collision of molecule with the container's wall is
negligible as compared to the time between successive collisions."
http://en.wikipedia.org/wiki/Kinetic_theory_of_gases
Therefore, force x distance supplies ZERO energy. Kinetic theory
assumes zero compression energy. Piston velocity can supply KE and
kinetic theory temperature is supposed to be a function of KE.
>where all taken energy is dissipated as heat, therefore
>the energy of the ( ideal ) gas is the same as before compression.
Reducing volume of particles with elastic collisions requires no heat
dissipation and no generation of heat. A shutter closes when random
motion puts half the gas is on one side of a container.
>Real gas energy will change, as there are interaction attractive forces
>and potential energy changes with distance.
>>
For kinetic molecules that are dipoles, a shutter could capture
molecules with a small distance between dipoles. Subsequent expansion
to original volume would require piston energy or conversion of KE, to
pull the dipoles apart.
The known intermolecular forces (dipoles, induced dipoles, ion-dipole,
Van der Waals) are attractive and intimate. Compression of these
attractive forces does not necessarily increase temperature (reducing
distance between electrons does not change temperature.)
http://en.wikipedia.org/wiki/Intermolecular_force
<clip>
>Isothermic compression DOES NOT change gas energy
>( ideal one, for real one it slightly decrease,
>while for compression theory it is increased )
>
The energy of the heat removed from gas, to make the process
isothermal is less than the mechanical energy that compressed the gas.
Therefore, isothermal compression results in more total energy than
the gas had before compression.
>Your proposed thought experiment with stopping piston at collisions
>is equivalent to isothermic compression ( infinitely slow one )
>that does not change gas temperature nor energy,
>as this energy is dissipated.
>
I suggested random movement caused all the gas molecules to be on one
side of the container. Compression by means of random movement
applies to kinetic aspects of a molecule, not the compression energy
within each molecule.
>
>>
>> Pressure is a function of collision density.
>
>Agree.
>
I was wrong. Collision duration makes collision density differ from
pressure.
A moving piston can add mv^2 to a gas molecule's KE, and independently
add force x distance to gas compression energy.
>> Therefore, pressure is a function of surface area per volume ratio.
>> Pressure due to
>> compression is not a function of surface area to volume ratio.
>
>No, false conclusion.
>No pressure is function of surface area to volume ratio.
>Not even of surface area.
>
A single molecule within a sphere with an activated carbon interior
surface has a lower collision frequency per surface area, than the
same molecule within a sphere with a smooth interior.
>Given gas has at the given condition fixed collision frequency
>per surface unit, giving force per surface unit, what is pressure.
>Volume is irrelevant.
>
>>
>> For example: The quantized nature of vaporization includes a fixed
>> initial gas volume. Heat of vaporization = structure change energy -
>> energy due to gas expansion. Decreased applied gas pressure lowers
>> BP, because as applied pressure decreases, energy released from gas
>> expansion will increase.
>
>All liquids have portion of molecules constantly leaving the liquid,
>creating a partial vapour pressure, that is increasing exponentially
>with temperature. when reaches external pressure, it boils.
>Decreasing pressure makes the boiling sooner.
>
Reducing pressure reduces steam molecules energy. Based on your
scenario, low energy steam molecules next to liquid molecules will
enable boiling at low temperature. In other words, REMOVING heat
energy (reducing steam pressure) from the system will ADD energy to
heat of vaporization.
Compression theory solves the paradox. Molecule expansion provides
energy towards heat of vaporization.
>>
>> Because heat of vaporization includes expansion energy, liquid
>> molecules must detect pressure. A single liquid molecule cannot use
>> (sporadic) collisions as a measure of pressure. A molecule must
>> instead use the (pervasive, continuously applied) force due to
>> COMPRESSION energy, as a means of detecting pressure.
>
>It supposes internal intelligence of molecules.
>Behaviour of molecules is driven by rules of statistic.
>
Energy balance at the time of reaction governs all molecular energy
state changes (including evaporation,) not intelligence. Based on the
lack of correlation between temperature and KE (within compression
theory,) gas molecules can have any KE value at any temperature.
>> If temperature indeed decreases during an adiabatic molecular gas
>> volume increase, then temperature decreased w/o decreasing ball
>> velocity. This is a conflict with 1/2mv^2=3/2kT. In other words,
>> temperature decreased w/o a means of decreasing molecular velocity.
>
>Stop mixing moving of ball and random moves of molecules.
>They are completely independent. There is no conflict.
>
The conflict between kinetic theory and compression theory occurs
during changes in compression energy and changes in temperature.
Kinetic theory does not include compression energy. Elastic
collisions do not change temperature.
>>
>> Collisions fail to explain 1. How gas temperature decreased w/o
>> changing velocity,
>
>No, you just still do not understand.
>It does not
>
In the frame of relativistic energy, each molecule has an exact amount
of KE. Adding phase change heat energy to the molecule travelling at
relativistic speed will not change the particle's relativistic speed
(unless mass changes.) Therefore, KE is not one of the energies that
can change temperature.
>2. Disposition of heat energy loss during the temperature decrease.
>
>
>>
>> Substituting the energy of molecular compression for KE would solve
>> these problems. Gas molecule expansion lowers temperature and can
>> release force x distance energy (KE) to molecules.
>>
>> >> Collisions with a piston does not change particle KE.
>> >
>> >Since Galileo relativity principle is known we known
>> >it does change. If an elastic ball collides
>> >with counter moving piston, its KE energy increases.
>> >
>> >Hint: Imagine reference frame where the piston is in the rest.
>> >
>> In your moving piston scenario, how fast is the piston moving?
>
>speed is irrelevant, but but in both limit cases it converge
>either to isothermic either adiabatic compression.
There is no convergence. Force x distance will contribute compression
energy and temperature; elastic collisions will contribute to KE.
>>
>> >> Otherwise, the added energy would make V1/V2 not equal to P2/P1.
>> >
>> >Yes, that is fully normal and observed for adiabatic changes.
>> >
>> Yes, the self-inconsistency of kinetic gas theory (piston work v. no
>> piston work) make both compliance and non-compliance with V1/V2=P2/P1
>> reasonable.
>
>Not at all, do not confuse inconsistency with misunderstanding.
>
Kinetic theory uses elastic collisions instead of compression energy
within gas expansion and compression equations. Elastic collisions do
not contribute to internal energy or phase change energy.
>> >>
>> >
>> A single compression wave can bend around a corner during expansion. A
>> single sound modulated molecule would follow a straight-line path.
>
>Until next collision.
>>
Let a particle travel along the X axis. Let it meet an equal particle
traveling along the Y axis. The X particle will begin travel in along
the Y axis and vice versa. Elastic collisions do not change momentum
in any specific direction, unless the particle hits the container.
>
>> Kinetic gas theory is supposed to be a tool for predictions.
>
>Sure, within its scope.
>
>>
>> 1. Kinetic theory fails to predict the occurrence of an induced
>> dipole.
>
>Is not supposed to, but it is implied as real gas factors.
>>
Kinetic theory does not have the tools to predict induced dipoles,
because 'no interaction between particles' and tiny kinetic particle
size.
>> Molecular compression predicts induced dipoles.
>
>Hm, could you elaborate such a prediction ?
>
If induced dipoles can occur in liquids and solids, they should also
occur in gas. In compression theory, gas molecules are 'big' liquid
molecules.
>> An HCl molecule is a
>> dipole while being a gas. The closeness of HCl and Ar make polarized
>> Ar is no surprise.
>
>This is not prediction CT provides.
>>
There is more to this and I might cover this later, in a different
thread.
Charging a capacitor (inducing a dipole) does not change emission
spectra, or bonding within its dielectric material. Therefore,
chemical dipoles differ from dipoles caused by electron-proton
separation. The distance rules that apply to 'electric' dipoles
(negative third power with distance) differ from chemical dipole
distance rules.
>> 2. The no particle interaction part of kinetic gas theory would
>> indicate that neither temperature, nor pressure would change gas
>> viscosity (except momentum or collision-based viscosity.)
>
>No, it is your KT misunderstanding.
>And, KT is not the same as ideal gas model.
>IGM is intentional very useful simplification.
>>
IGM fails to account for compression energy and the relation between
compression energy and specific heat. W/o compression energy, IGM
must use (elastic) collisions to account for temperature changes.
>> The closeness of molecules in molecular compression allows a
>> temperature change to influence interaction between molecules, thus
>> influence viscosity.
>
>Compression theory has paradox of cohesive versus repulsive forces.
>
By paradox, are you claiming that force due to molecule compression
and force due to dipole attraction is the same thing? Molecule
compression is certainly not the same thing as dipole attraction.
There is no paradox. Molecular compression is a unique type of
energy.
If you like paradoxes, consider the conflict between elastic
collisions and changes in internal energy.
If you like paradoxes in electrical stuff, consider the 'current'
paradox. A magnetic field cannot add energy to a moving electron, yet
changing magnetism within a transformer's primary winding will cause
current in the secondary windings.
How about the galvanic cell? Is the electrolyte conductive (during
current,) or an insulator (preventing an anode to cathode short
circuit through the electrolyte?)
>>
>> 4. The no particle interaction part of kinetic gas theory would
>> prevent a 2H2+O2 mix from exploding.
>
>But particle interaction part does.
>You really do not know what KT is about.
>>
In kinetic theory, the distance between adjacent gas molecules is 16 x
the distance between molecule centers in solids. The distance between
collisions is much greater than the distance between molecules. Do
you really expect diffuse kinetic particle collisions to occur at
about the same rate as collisions within a solid?
Gas chemical reactions can occur explosively, because gas molecules
are almost as intimate as liquid molecules.
>
>> Sorry about being dyslexic about the direction of BP changes with
>> pressure.
>>
>> Normally, boiling water directly converts heat energy from the burner
>> into vaporization energy. A KE increase during vaporization would
>> require a molecule to accelerate itself. Self acceleration may
>> violate conservation of momentum.
>
>What talked about selfaccelerating ?
>
How did a gas molecule acquire both speed (because of slightly higher
temperature in the 'frame of resting ball,' and heat of vaporization?
The extra speed seems to be the result of self-acceleration.
>>
>> >> Heat of vaporization is a structure change, not a velocity change.
>> >> When a H2O liquid molecule converts to a gas molecule, the molecule's
>> >> gas 'structure' completely fills its external containment.
>> >
>> >It is structure AND velocity chnage.
>> >If not, than there is no change in potencial energy
>> >and no evaporization heat.
>> >
>> A molecular structure change is a type of PE change and molecule
>> compression can influence gas temperature.
>
>Compression forces would make gas condensation very difficult.
>
The instantaneous molecular energy change from liquid to gas included
the energy of producing a full size gas molecule. Therefore, the
instant molecular energy change that converts a gas to liquid must
occur WHILE THE GAS MOLECULE IS BIG.
>>
>> Complete evaporation at lower than boiling temperature indicates that
>> H2O structure can be more stable in gas form, than in liquid form. The
>> stability can enable the endothermic evaporation process.
>
>It is not about stability, but equilibrium.
>>
Boiling is not the result of water's vapor's contribution to pressure
applied gas pressure. (The concentration of steam in the gas above
water does not influence boiling point.)
Formation of a steam molecule (heat of vaporization) requires the
combination of heat from expansion of the new gas molecule and heat
energy from nearby liquid molecules, because evaporation is
endothermic.
>> What do you mean by escape jump?
>
>As simplification,
>water(l) molecules are binded by potential energy
>of van der Waals forces and hydrogen bonds.
Not true. Van der Waals has a different influence than the chemical
bonds. Near its BP, water is a polymer (multiple H2O units within the
molecules.)
"Theoretical models suggest that the average cluster may encompass as
many as 90 H2O molecules at 0°C, so that very cold water can be
thought of as a collection of ever-changing ice-like structures. At
70° C, the average cluster size is probably no greater than about 25."
http://www.chem1.com/acad/sci/aboutwater.html
The clusters can enable superheating. Nucleation sites can break up
polymeric water structures. Heat divided among multiple H2O units
within a molecule can become concentrated within a molecule with a
single H2O.
http://en.wikipedia.org/wiki/Superheating
http://en.wikipedia.org/wiki/Water_cluster
>It is like if a ball has enough KE, it able to escape
>the potential trap of the Earth.
>
>But for freedom, a part of KE is sacrifices.
>
>> Are you claiming that gas molecules move slower than liquid,
>
>YES and NO.
>
>> or that part of a liquid molecule's KE converts into gas structure
>energy?
>
>No, part of liq molecul KE goes to overcome potential hole,
>being trapped by cohesive bonds to other liquid molecules.
>
>> Thermal conductivity (k) of gases is a measure of conductivity, not
>> radiation or convection, albeit gas can have a heat of convection
>> coefficient. Conduction requires intermolecular transfers of heat and
>> ultimately conduction can produce uniform temperature. Heat
>> conduction among molecules is the opposite of inducing M-B temperature
>> distribution.
>
>I did have suspicion you still do not understand what temperature is.
>
>M-B distribution is about statistical distribution of KE of moleculs,
>not about temperature distribution.
>And not even spatial temperature distribution.
>
The inherent non-compliance of even a single gas molecule with
KE=1/2mv^2=3/2kT indicates that molecule temperature cannot be a
function of molecule speed.
I think elastic collisions do not change temperature. Therefore, a
statistical average of elastic collisions will not correlate with
temperature.
>>
>> >There are no temperature differences, as there is no temperature
>> >of single molecule. Temperature is macroscopic statical parameter.
>> >
>> I think a single ball can have temperature and velocity.
>
>Ball ? yes. Molecule ? No.
>
At every instant, every gas molecule has a precise temperature. In
the frame used to measure relativistic speed, the gas molecule has a
precise velocity. That velocity is not necessarily a function of
temperature.
>> What is the
>> theoretical reason that 1/2mv^2=3/2kT can or cannot apply on both a
>> macro (big elastic balls) and a molecular (small elastic balls) scale,
>> or both a large number and a small number of elastic balls?
>
>So, if you have 70 kg, moving 1 m/s,
>then is your temperature 1.93 x 10^24 K ?
>
>I am not sure, but Big Bang could envy you to be so hot.
>
If KE=1/2mv^2=3/2kT predicts that a 70kg ball has temperature
1.93x10^24K is invalid on a macro scale, then the application of the
equation on a molecular scale is also invalid.
Kinetic theory does not include compression energy, thus kinetic
theory does not include compression energy's ability to change
temperature, or force x distance response to piston movement.
Unless collisions in the 'frame of resting ball' are no longer
elastic, collisions within the 'frame of resting ball' will not change
temperature.
>
>> Are you are thinking that lack of intermolecular interaction stops
>> collisions, thus prevents conduction during collisions?
>
>No, neither KT suppose no interactions.
>Only no cohesive/repulsive interactions and only in ideal gas model.
>
What is the relation between cohesive/repulsive force and thermal
conduction during collisions?
>
>> Consider that
>> prevention of precipitation of ice (from M-B distribution) requires a
>> high frequency of, and a huge amount of intermolecular interaction
>> (collisions.)
>
>Try to count this frequency. It is really big.
>And there is huge amount of collisions.
>
>> >>
>> >> Note: Molecules with temperature due solely to pure mv^2 should not
>> >> store internal energy during a temperature change.
>> >
>> >Why not ?
>>
>> A kinetic gas theory scenario indicates that gas can cool during
>> expansion w/o a means of changing gas molecule velocity.
>
>Put your claim in proper context. Molecule velocity and
>molecule velocity wrt frame of reference where gas is in rest
>are 2 very different values.
I think a change in compresion energy will change gas temperature.
Elastic collisions wil not.