In mathematics, mixing is an abstract concept originating from physics: the attempt to describe the irreversible thermodynamic process of mixing in the everyday world: mixing paint, mixing drinks, industrial mixing, etc.
The concept appears in ergodic theory—the study of stochastic processes and measure-preserving dynamical systems. Several different definitions for mixing exist, including strong mixing, weak mixing and topological mixing, with the last not requiring a measure to be defined. Some of the different definitions of mixing can be arranged in a hierarchical order; thus, strong mixing implies weak mixing. Furthermore, weak mixing (and thus also strong mixing) implies ergodicity: that is, every system that is weakly mixing is also ergodic (and so one says that mixing is a "stronger" notion than ergodicity).
Homework Statement
You drive on Interstate 10 from San Antonio to Houston, half the time at 67 km/h and the other half at 112 km/h. On the way back you travel half the distance at 67 km/h and the other half at 112 km/h. What is your average speed (a) from San Antonio to Houston, (b) from...
Homework Statement
The air in a small room 12x8x8 ft (768 ft^3 is the volume) is 3% carbon monoxide. Starting at t=0, fresh air containing no carbon monoxide is blown into the root at rate of 100 ft^3/min. If the air in the room flows out at same rate (100 ft^3/min), when will air in room be...
I am trying to figure out the following in my beer brewing. I have been able to find equations for mixing two quantities of water, but not three. Can anyone help me out here?
So, I have 5 liters at 100 C and I want to add 18 liters (x at 20 C and y at 8 C) to arrive at 23 liters at 24 C. This...
when i mix red light and green light i get yellow light, but QED says that photons do not interact so why am i seeing yellow light, , I know they obey superposition , what does it mean for two photons two superimpose physically . how is the localized energy of the photons interacting .
So, this seemed most appropriate for this forum, as it's essentially a question about pumps, pressures, and fluid mechanics.
The set up I have that this question pertains to;
There are two pumps that have lines running to a T-joint with a small chamber to allow for mixing before exiting...
Homework Statement
A mass of a liquid of density ρ is thoroughly mixed with an equal mass of another liquid of density 2ρ. No change of the total volume occurs.Homework Equations
The Attempt at a Solution
i tried to use ρ=\frac{m}{v}
then v=\frac{m}{\rho}
therefore v1+v2=V...
hello everyone,
i run a small microbrewery and i have a need for a unique pump design, here are the requirements:
1) low agitation of pumped liquid (cider in my case) because its full of CO2 in suspension and i don't want the gas to come out in the pump
2) the pump will be used to mix 2 fluids...
[PLAIN]http://img706.imageshack.us/img706/981/piccj.png
I tried writing the equation Qgain=-Qlost but i don't know how to deal with steam it doesn't have a (c)
What if you had a large and very hot sphere (made of a a thick alloy/material with a higher melting point than any of the elements) and you fired in the 94 natural elements to collide in equal parts in the center and make a ball that fits the sphere? The solid elements would be in a powdered...
http://kwcamerica.com/-hansa/images/product/10_501_134_480.jpg
Obviously, I am a newb here, so thanks for reading my (probably simplistic) question. I've done a bunch of searching of the forums and didn't see what I was after.
We recently moved into our new construction house which is...
Hello folks - I hope this is the right area to post...
I brew beer at home, and air, more correctly, the O2 in air causes oxidation and ruins beer. In order to prevent it, many home brewers use stainless steel containers that can be pressurised with CO2.
The commonly accepted wisdom is that a...
Homework Statement
when ethanol an dwater are mixed, is randomness increased or decreased
Homework Equations
The Attempt at a Solution
Since these are miscible, I 'm equating that with 'comfortable' as a mixture and the 'comfort' being like a smaller amount of entropy than when...
"What would be the final temperature if you mixed a liter of 20 degrees C water with 2 liters of 40 degrees C water?"
My teacher assigned us several problems like these without bothering to explain them. I have a hunch that they are embarrassingly simple to complete, but I know not how to...
I'm having a lot of trouble with an adiabatic mixing process.
This is what I know:
There's an airstream coming from outside and its temperature is T1=5 'C, its relative humidity being \varphi1= 90% at a rate of 20 m3/min.
Another airstream is coming from inside and its temperature is T2= 25...
Homework Statement
at 25C & 1 atm, absolute entropy of methane and ethane are 186.19 J/K/mol and 229.49 J/K/mol in gas phase. Find absolute 3rd law entropy of a solution containing 1 mol of each gas in ideal behavior.
Homework Equations
I think this is the equation to use:
dSmix=...
a river flows into a lake of volume V at a rate of R bg/d with a concentration of C mg/L of fluoride. Initially the concentration of Fluoride in the lake is V0 mg/L. A dam on one side of the lake allows water to flow out via a river at a rate R1 and into a water treatment plant at rate R2. The...
I am running trials at work that require disinfecting of a glycerine-dye solution...I have been advised to add bleach but have always avoided mixing bleach/sodium hypochlorite with organic compounds eg glycerine. I have even heard of incidents in Dried flower industry where incorrect mixing of...
Homework Statement
Alright, I know this has been done in various incarnations but I haven't found an example exactly similar to mine..
A tank contains 60kg of salt and 1000L of water. Pure water enters the tank at the rate of 8L/min. The solution is thoroughly mixed and drains at a rate...
Differential Equation mixing problem!
Homework Statement
A vat with 500 gallons of beer contains 4% alcohol (by volume). Beer with 6% alcohol is pumped into the vat at a rate of 5 gal/min and the mixture is pumped out at the same rate. What is the percentage of alcohol after an hour?
The...
Hey, I have this problem that is for a grade, so I want to make sure I set it up correctly. I don't care about solving for the function or anything(I know I did that part correctly).
Homework Statement
A container has 10 pounds of salt dissolved in 100 liters of water. Pure water is pumped...
ive spent over 2 hours on this question and i am unable to solve it. If anyone could help it would be greatly appreciated.
What is the pH of the solution that results from mixing the following four solutions together?
(1) 150. mL of 0.250 M NaCl
(2) 300. mL of 0.200 M HCl
(3) 100. mL of...
Homework Statement
What would be the final temp if you mixed 1 liter of 20°C water with 4 liters of 40°C water?
This question is very straightforward, and is, of course, assuming total conservation of temp.
Homework Equations
My book mentions q=mc∆t, but using that equation, I get...
Homework Statement
What is the pH of the solution that results from mixing the following four solutions together:
(i) 150 ml of 0.250M NaCl
(ii) 300 ml of 0.200M HCl
(iii) 100 ml of 0.050M HNO3
(iv) 450ml of 0.200M NaOAc
Homework Equations
The Attempt at a Solution
Firstly...
Mixing Problem... need help work shown!
A tank with a 1000 gallon capacity intially contains 500 gallons of water that is polluted with 50 lb of particulate matter. At time (t=0), pure water is added at a rate of 20 gal/min and the mixed solution is drained off at a rate of 10 gal/min. How much...
There are two compartments, each has half volume of the total volume, separated by an insulating partition. The whole setup is adiabatic. n mole of a monatomic gas with temperature T1 and pressure P in the left while in the right m mole of monatomic gas with termparture T2 and pressure P there...
Homework Statement
Assume there are two different kind of monoatomic ideal gas A and B. n moles of A are placed in a insulated compartment while m moles of B are placed in another insulated compartment. There is an insulated partition to join this two compartment. If the initial temperature...
Homework Statement
What is the temperature of the resultant flow if you have 15 l/s of 14 degC water mixing with 76.4 l/s of 41 deg C water?
Homework Equations
The Attempt at a Solution
delta T colder water = delta T warmer water
When a small bubble comes in contact with a larger bubble, what happens to their size?
(a) smaller bubble becomes smaller & eventually vanishes while larger one becomes larger
(b) both bubbles increase in size
(c) both bubbles decrease in size
(d) larger bubble becomes smaller while smaller...
A partition separates the two compartments of a vessel. The vessel is submerged in a constant temperature bath at 200C. Compartment A contains 2.00 kg of water at 200C, 50.00 bar and compartment B contains 0.983 kg of water at 200C, 1.00 bar. The partition is removed and the water in both...
I have noticed recently that when I pour coca-cola ( from a regular red can ) into a plastic cup then mix crown royal in it that this produces "eruptions", small streams of liquid shooting up from the surface of the drink. What is causing these? I have mixed drinks many times and never noticed...
Homework Statement
Two liquids of equal mass, one at 50 degrees Celsius, and one at 20 degrees Celsius, have different specific heats. Suppose the colder liquid has the higher specific heat. If the two liquids are mixed together in an insulating container, the equilibrium temperature of the...
Homework Statement
A lake, with volume V = 100km^3, is fed by a river at a rate of r km^3/yr. In addition, there is a factory on the lake that introduces a pollutant into the lake at the rate of p km^3/yr. There is another river fed by the lake at a rate that keeps the volume of the lake...
I'm going to fill a big container (3500 litres) with water. I'll use water from a hose, and boiled water, and I want to hit 40 degrees celcius.
Now, I figured that this was straight forward,
Temperature in hose = 10 C
Temperature of boiled water = 100 C
( 100 * X + (3500 - X) * 10 ) /...
Hi
Suppose there are two cylinders / vessels.
In one cylinder the pressure is 1.5 bar & in other 0.5 bar.If both cylinder are connected internally through valve connection, what will be the final pressure in both? explain
I have had a pressing question haunting my mind for quite some time, and I need an expert opinion.
My car calls for premium fuel (2007 Honda Civic Si), yet states (in the owners manual) not to use gas below the octane level 87. Now I purchase my gas from Sinclair and the octane levels read...
Zernike mixing - ?
Hi. I understand that Zernike was a physicist and that he did some work in optics, and am also aware of the Zernike Polynomials which are used in optics to describe aberrations in lenses, etc. What I do not understand is a comment that I got (from a non-native English...
I read that when salt and water are mixed that the overall volume decreases by 2.5% (I'm not sure if this is relative to the original volume of the water or both the water and the salt). I'm not sure why this is the case and am interested in that.
Moreover, I'd like to know how one would...
>From a seminar, I heard that energy-momentum relation (E^2=m^2+p^2) is
modified by UV/IR mxing.
In other words, the speaker claimed that the lowest energy is achived
not by zero momentum, but by non-zero momentum. Could somebody refer
me to a relevant paper?
Thanks in advance
Youngsub
Is it possible with javascript to take one article from blog A, one article from blog B, one article from blog C, and show them all together in one big table, with one article per table cell?
Even better, is it possible to mix blogs as above but without duplicating content on an intermediate...
Hello to all,
I want to analyze and make model of the water mixing process as shown in file in attacment. Basically, there are two input variables: input hot water flow and cold water flow. There is constant flow FL3. I need to write equation that describe how level and tank's temperature is...
Homework Statement
If you mixed 200g if ice that is at -5°C with 20g of water that is at 15°C, what will be the temperature and condition of the final state once equilibrium is achieved?
Homework Equations
Q=mcΔT, Q=mLf
The Attempt at a Solution
I know that the amount of ice is...
Homework Statement
A tank contains 150L of water in which initially 30g or salt is dissolved. Brine runs in at a rate of 4 L/m and each litre contains 1.5g of dissolved salt. The mix in the tank is kept uniform. Brine runs out at 3L/m. What is that amount of salt in the tank at any time t...
Homework Statement
A tank contains `100` kg of salt and `2000` L of water. A solution of a concentration `0.025` kg of salt per liter enters a tank at the rate `6` L/min. The solution is mixed and drains from the tank at the same rate.
Find the equation for the amount of salt in the tank...
Homework Statement
A brine solution of salt flows at a constant rate of 7 L/min into a tank that holds 30 L of brine solution in which was dissolved 1.7 kg. The solution inside the tank is kept well stirred and flows out of the tank at the same rate. If the concentration of salt in the brine...
I've struggled with this problem for a bit and I ran out of ideas.
"We have a tank of volume K liters of alcohol. We remove one liter from the tank and add one liter of water. From the mix, we remove one liter and add one liter of water. We do this one more time.
At the end of the process...
Homework Statement
In some theory the electron neutrinos and the muon neutrinos mix like this:
\mathcal{L}_{m} &= -\frac{1}{2}m\left(\overline{ \nu^{C}_{\mu\text{R}} }\nu_{\text{eL}} + \overline{ \nu^{C}_{\text{eR}} }\nu_{\mu\text{L}}\right) + \text{h.c.}
Show that there exists a...
[SOLVED] Mixing Problem - Linear First Order ODE
Homework Statement
A 500-gallon tank initially contains 50 gallons of brine solution in which 28 pounds of salt have been dissolved. Beginning at time zero, brine containing 2 pounds of salt per gallon is added at the rate of 3 gallons per...