# Questions tagged [volume]

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### Particle states per phase space volume of a quantum gas

Consider a quantum gas in a box with volume $V=L^3$ and temperature $T$, consisting of spinless bosons. Explain why the number $dN$ of "single-particle states" in a "momentum space volume" $d^3p$ is ...
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### Invariant Phase space volume under canonical transfromation

I have a volume element in phase space: $$d\omega = \prod _{i=1}^{N}(dq_{i},dp_{i})$$ Now I should show the invariance of this product under canonical transformations. I think first I would have to ...
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### Simple gas in cylinder modeling

I want to do a simple (physically plausible but not physically accurate) simulation of a gas in a cylinder as it works on or is worked on by a piston. Wikipedia gives a good example of an adiabatic ...
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### Calculating the compressed air by tides

I couldn't find any information on this topic. That is why I decided to ask in here. Can air be compressed by tides? I have an aquaponics setup next to the sea. When the high tide occurs, will you be ...
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### Can you plot irreversible but quasi static processes on a $pV$ diagram?

I've often heard that you can't plot irreversible processes on a $pV$ diagram, but what about in the case where you have a quasi static process with friction? There still exists a curve of ...
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### What Are The Physics and Air Pressure Effects of Extremely Large Bells

How would one go about figuring out the physical properties of when a bell is hit. Can I parameterize the diameter of the bell, its height, and the kinetic force of the knock to get the volume in ...
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### Fluids mixture density prediction

As you know 100 ml of H2O mixed with 100 ml ethanol is not 200 ml What is the official name of this 'volume loss'? Is it possible, and if so, how, to calculate, before mixing, what the density of a ...
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### What is the atomic composition of the human body, by volume?

According to Wikipedia, the composition (by atomic percent) of the human body is: 62% hydrogen 24% oxygen 12% carbon 1% nitrogen etc. Question: What is our volumetric composition*? *I get this is a ...
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### Zero mean curvature and maximal volume

I have a 1+1 asympotically flat spacetime system (spherical symmetry) for which I'm trying to find the hypersurface which maximizes the volume enclosed in a sphere of a given radius $r=R$. **It seems ...
621 views

### Formula for residence time/turnover rate with unsteady state

I'm not sure this is the correct place to ask my question... but maybe someone could still help me. I'm looking for a way to calculate the residence time/turnover rate. I have the production and ...
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### If gases are not ideal at high pressures, why doesn't raising the temperature of a gas make it less ideal?

I'm learning about ideal and non-ideal gas behavior in Chemistry, and my textbook and online sources say two things. 1) gases behave ideally at high temperatures and low pressures. 2) Gases behave non-...
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### Density of States

For getting the density of states formula for photons, we simply multiply the density of states for atoms by 2 (due to two spins of photons). I am getting the 2D density of states formula as :- g(p)dp ...
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### Phase transformation at constant volume $V$

A source heats water inside a vessel (V=constant). As soon as boiling begins, pressure raise up. How will the system evolve? Depends on the heat? How would be the relationship between the temperature ...
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### Does multiple outlets (at same level on tank) from an overhead tank increase pressure?

I have a tank that is about 1foot high from my shower, however the pressure(or volume) isn't sufficient. Is it possible to increase the pressure(or volume) at the showerhead by doing the following: ...
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### Why do some textbooks use $T$-$V$ diagram for temperature table instead of $p$-$V$ diagram?

I am confused about this thing. In the temperature table, the first column explains specific temperature and the second column explains corresponding saturation pressure. From what I understand, if ...
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### Change in entropy due to the change in volume

If its given that $N$ no of Ideal gas atoms are in $V$ volume. What will be the change in entropy in units of $N\cdot kb\cdot\ln2$ when the volume is increased fourfold, i.e. $V \to 4V$, keeping ...
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### Demonstration of comoving volume between 2 redshifts

1) I can't manage to find/justify the relation (1) below, from the common relation (2) of a volume. 2) It seems the variable r is actually the comoving distance and not comoving coordinates (with ...
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### What is the volume inside the inner event horizon of a Kerr black hole?

(Dokuchaev 2011) found periodic orbits of particles and photons inside a Kerr-Newman black hole with a maximally extended global geometry. They orbit inside the inner horizon $r<r_-$ where the $r$ ...
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### If water vapor changes its phase, how is it possible to maintain specific volume?

I was doing my thermal engineering exercises when I encountered a problem. The problem specified a fixed and rigid container with a volume $V=0.17\ m^3$, as I have a $T-S$ diagram for water, they give ...
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### What is the volume of water in an inclined pipe

Diagram: I have a tank of water T, which was filled with 2000l of water. At some point along the pipe connected to it, there is a leak, which is leaking at the rate of 400l/24 hours. Valve d and j ...
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### Thermodynamics, Phase change diagrammes

What would be the phenomena and PV, TV diagrammes for a closed vessel partially filled with water and subjected to heat, How change in vapour pressure would effect its boiling?, How PV, TV diagrammes ...
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### How can I get the height that sits above the waterline of a partly-submerged object?

If I know the density of water (say 1024 kg/m^3) and the density of ice (say 900 kg/m^3), and the volume of an object (say 8 x 10^9 m^3), how can I figure out how much of it is sitting above or below ...
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### What process is it when the polytropic index $n$ is equal to $- \infty$?

From $$Pv^n = \mathrm{constant}$$ When $n = - \infty$ What kind of process is it.... Eg... When $n= \infty$, It is constant volume.... Therefore when $n =- \infty$... What is constant?
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### Construct bivariate symmetric (polynomial) Hilbert-Schmidt two-qubit volume functions over the unit square with certain properties

Construct bivariate symmetric polynomials (two-qubit volume functions) f(r,R) = f(R,r) >= 0 over [0,1]^2, with f(1,R) = f(r,1)=0, such that the univariate marginal (integrating over r or R) ...