Stack Exchange Network

Stack Exchange network consists of 174 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.

Visit Stack Exchange

Questions tagged [volume]

The tag has no usage guidance.

0
votes
0answers
23 views

Determining pressure as a function of time for water filled balloon

Looking to determine pressure as a function of time for a water filled "balloon" at extremely high pressures (~90MPa) with a fixed flow rate out. This is to determine the time it takes to hit a ...
0
votes
2answers
44 views

Definition of volume of a gas and Amagat's law

How would you define the volume of an (ideal) gas? I would say it is the volume of the container holding the gas (whether it is a fixed container or a flexible one like a balloon). However, ...
0
votes
1answer
74 views

What is the physical meaning of divergence? [duplicate]

I want to visualize the concept of divergence of a vector field. I also have searched the web.Some says it is 1.the amount of flux per unit volume in a region around some point 2.Divergence of ...
0
votes
0answers
27 views

What is the simplest way of getting the solid angle $\Omega_d$ in a space of $d$ dimensions? [migrated]

It is known that the solid angle in a flat space of $d$ dimensions ($d = 2 n$ or $d = 2 n + 1$) is given by these formulae: \begin{align}\tag{1} \Omega_{2 n} &= \frac{1}{(n - 1)!} \, 2 \pi^n, \...
0
votes
1answer
32 views

PV diagram of pure substance

Why does the specific volume of saturated solid state of water decreases with increasing pressure and the specific volume of saturated liquid wrt vaporisation increases with pressure? Can anyone ...
0
votes
2answers
60 views

Does Avogadro's law only apply to ideal gases?

I know the ideal gas law may change a little when for real gases or diatomic ones does Avogadro's law change too or does it stay the same?
3
votes
2answers
46 views

Why are the volumes above and below the center of mass of a uniform cone not the same?

So today in my physics class we derived the center of mass of a uniform cone, and it all made sense, but near the end of class a student asked, "If you were to split an object into two parts with ...
2
votes
1answer
112 views

Black Hole Surface Area-Mass Equation

Lets suppose we have a BH with mass $M$ and surface area $A$. From the Schwarzschild raidus we can say that the Area of the BH is proportional to its mass $$A=4\pi r^2=\frac {16 \pi G^2M^2} {c^4}$$ ...
0
votes
1answer
48 views

Relationship between binding energy of atoms in a solid and compressibility defined by bulk modulus

Consider an atom which has η nearest neighbours. The equilibrium binding energy $L_0$ of $N$ atoms is: $$ L_0 = \frac{Nηϵ}{2} $$ The bulk modulus $K$ of a solid of volume $V$ compressed under pressure ...
1
vote
0answers
23 views

Distance Dependence of Van Der Waals Forces and his Equation of State

I've been trying to reconcile the form of the van der Waals equation of state and the equations from which they are derived. Stop me where I go wrong: The VDW EOS includes two terms: one for the ...
0
votes
1answer
30 views

How to know heat flows out or in from a $pV$ diagram? [closed]

How to know heat flows out or in from $pV$ diagram?
-2
votes
5answers
133 views

Why does the energy of a thermodynamic system depend on the volume?

In thermodynamics one assumes that the energy (or other observables) of the system only depend on a few parameters like the temperature, the particle number and also the volume: $dE = \left(\frac{\...
1
vote
0answers
28 views

Spacing of atoms in a cubic meter [closed]

I want to figure out the spacing between neighbouring atoms in a cubic meter of a large amount of 10^17 atoms were placed in perfect cubic structures within the cubic meter. I’m not sure how to go ...
0
votes
0answers
18 views

Volume in first octant

Here we are finding number of state less than energy E for particle trapped in 3D harmonic potential .For large value of E as compare to hw , we assumed energy levels as continuous.And we introduces ...
-3
votes
1answer
65 views

What is the real definition of density? [closed]

What does density really mean? Everyone just provides me with the equation of finding density whenever I ask this question.
0
votes
2answers
53 views

Isn't the equation of state for ideal gas valid in the free expansion?

I am deeply confused.... For a thermally insulated ideal gas expanding freely, I think that $PV^{\gamma}=cnst$ must hold. Through the equation $PV=nRT$, it must be that $TV^{{\gamma}-1}=\rm constant$. ...
0
votes
1answer
467 views

Is it a coincidence that 1 liter water has a mass of 1 kg while 1 cubic meter has 1000 liters of water?

1 Cubic Meter has 1000 liters of liquid. Meter is a unit independent of Kilogram. Then why does 1 liter of water at max density (4°C) have a mass of 1 Kg?Is it a mere coincidence?
0
votes
0answers
5 views

Does magnetostriction change volume?

Does magnetostrictive material like terfenol D change volume,or does it just increase in one dimension and decrease in another keeping the volume constant?
1
vote
0answers
35 views

Formula for volume of liquid residue in containers after pouring [closed]

When trying to empty the filled containers by pouring, we will find that this is impossible to reach the "real empty" as some residual liquid should exist in the containers. Have some mathematical ...
1
vote
1answer
57 views

Difference between p-v and pressure and specific volume

what is the difference between pressure-volume and pressure-specific volume curves? since volume is an extensive property why do we plot pressure and volume curves for different processes?
1
vote
1answer
64 views

Can the volume fix the thermodynamic state of a system?

Can we use the volume to fix the thermodynamic state of a system? If not, why do we use P-V curves to know about thermodynamic states and processes?
0
votes
1answer
95 views

Why the volume of a region is not a diffeomorphism invariant? (LQG)

In loop quantum gravity, the volume operator for a given region is not a diffeomorphism invariant. But classically we know that volume is a scalar quantity under a diffeomorphism even if we take the ...
0
votes
4answers
71 views

Does the pressure-volume-temperature realation of gases also work on solids?

I've read about the Combined gas law which said: The ratio between the pressure-volume product and the temperature of a system remains constant. My question is: Does this law also works on ...
0
votes
1answer
23 views

Limit charge of electronic–hydraulic analogy of a compartment

I am doing a mathematical model of an hydraulic system and I am using an electronic-hydraulic analogy. Normally a compartment is simulated with a capacitor. But in my system I can apply a big ...
1
vote
2answers
149 views

Virial expansion in terms of pressure

I'm studying thermodynamics and I found two forms for the virial expansion: $$pV~=~RT[1+\frac{A_2}{V}+\frac{A_3}{V^2}+\ldots] \tag{1}$$ and $$pV~=~RT[1+B_2p+B_3p^2+\ldots]\tag{2}$$ my problem is that ...
5
votes
1answer
153 views

Why we can't multiply two extensive quantities together?

I have read that regarding the equation of state $PV=nRT$, since $V$ is an extensive quantity $P$ should be an intensive one because the product of extensive quantities is inherently non-linear. ...
0
votes
1answer
320 views

Calculating work done by a gas fitted with a spring

Assume a gas in a container with one end closed and other end has a piston of mass m fixed with a spring.The gas is then heated ,assume that the container is non-conducting.(Assume vessel to be kept ...
0
votes
0answers
20 views

How can I know the volume occupied by one element in a compound?

I struggle to find how to estimate the volume occupied by one atom in a compound. As an example let's take $\beta$-Ga$_2$O$_3$, since that's the material on which I work the most. The crystal ...
0
votes
1answer
174 views

Phase space volume doesn't change under canonical transform

I have given a set of generalized coordinates $(q_1,..q_n,p_1,..p_n)$. Suppose I had a canonical transform $(q_i,p_i)\rightarrow (Q_i,P_i).$ I am trying to show that the phase space volume element ...
1
vote
1answer
145 views

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 ...
0
votes
0answers
14 views

Can I calculate the volume sputtering yield of a compound if I know the atomic component sputtering yields?

I'm running Monte Carlo simulations of a neon beam hitting a $\beta$-gallium oxide target. I set the initial bulk composition to be made of 40% gallium and 60% oxygen (Ga$_2$O$_3$). The simulations ...
0
votes
2answers
432 views

How is a helium tank volume measured?

I'm comparing different helium tank offers and I found an interesting one which seems to be what I want, but I'm unsure regarding the volume. It states: The content of gas of this tank is greater ...
1
vote
1answer
39 views

Do indicator/p-V diagrams only show reversible processes?

In Equilibrium Thermodynamics, Adkins, it is stated that Since equilibrium state corresponds to definite values of the system parameters, we may represent a quasistatic process by plotting...an ...
0
votes
0answers
28 views

Compressibility of liquid and vapor

If we vaporize a liter of water, I assume the vapor be more compressible. But could it occupy less volume than 1 cubic decimeter? What would happen to the vapor when we try to compress it, maybe ...
2
votes
1answer
69 views

What part of the cylinder displaces some volume from the second liquid (which is used for the buoyant force)? [duplicate]

Consider a container filled with two liquids, of densities $\rho_1$ and $\rho_2$, such that $\rho_2 < \rho_1$. Now imagine placing a cylinder with the top base removed, of density $\rho,\space \...
0
votes
1answer
329 views

Andrew's experiments on CO2

While studying andrew's experiment on CO2 i found a contradictory thing to my knowledge. At isothermal temperature 13.1°c as pressure increases volume decrease. At a particular pressure CO2 starts ...
0
votes
1answer
63 views

Why can the equation of adiabatic process $P_1 V_1^\gamma=P_2 V_2^\gamma$ be written as $\Delta P/P=-\gamma \Delta V/V$?

Why can the equation of adiabatic process $P_1 V_1^\gamma=P_2 V_2^\gamma$ be written as $$\frac{\Delta P}{P}=-\gamma \frac{\Delta V}{V},$$ where $P_2-\Delta P=P_1$ and $V_2+\Delta V=V_1$ as in ...
31
votes
4answers
9k views

Is it theoretically possible to have a larger inside volume than the outside exterior?

Last night I was listening to the audiobook of Harry Potter and the Chamber of Secrets (yeah, I know..) and it talked about the trunk of their enhanced car that was much bigger from the inside, than ...
0
votes
1answer
96 views

Relation between surface area/shape and pressure

For a shape with a given volume and given gas pressure inside the volume, if the shape is changed to increase the surface area, will the internal gas pressure change?
2
votes
2answers
126 views

Liouville Theorem analogue in generalized velocities?

The Liouville Theorem concerns dynamics in phase space: does an analogue exist in configuration space, and, if not, could you give a motivation / proof why?
0
votes
1answer
51 views

Can't understand how flow work is possible in a control volume

I am struggling to fully grasp the concept of flow work for a non-deformabable control volume. Nearly every source puts it in this way: flow work is the work required to push fluid into and out of ...
9
votes
3answers
886 views

Is a canonical transformation equivalent to a transformation that preserves volume and orientation?

We have seen the reverse statement: Lioville's Theorem states that canonical transformations preserve volume (and orientation as well). Is the reverse true? If I demand a map from the phase space to ...
0
votes
2answers
26 views

How can I conduct an experiment on the buring power of a 2 inch cubic block of wood?

I'm trying to help my son put together a science project and the hypothesis that we've come up with is this: If you take cubes of wood of the same volume (say 2 inches cubed) and start them burning ...
0
votes
1answer
338 views

Why does expansion in a vacuum cause gas particles to not do any work?

My lecture notes state that if gas particles sit in an insulating container, with a partition separating the gas from vacuum is removed, no change in internal energy is done, and it is stated that it ...
1
vote
2answers
135 views

Deriving $Tds$ relations in thermodynamics

The Tds relations I refer to are, $$Tds = du + Pdv$$$$Tds = dh - vdP$$ The first equation is derived (assuming internally reversible process) from the definition of entropy $ds = \delta Q/T$ and the ...
0
votes
1answer
34 views

Converting volume to dimensions

Not sure if this is better posted in mathematics, but I'd like to know the formula used to convert cubic meters to dimensions (eg: 1m height x 1m width x 1m length). I understand that you can turn ...
-1
votes
2answers
67 views

Why is $\mathrm{d} \Omega = \mathrm{d} \cos \theta \mathrm{d} \phi$ and not $\mathrm{d} \Omega = -\mathrm{d} \cos \theta \mathrm{d} \phi$?

The textbook I am following (Peskin&Schroeder) on QFT takes $\mathrm{d} \Omega = \mathrm{d} \cos \theta \mathrm{d} \phi$. I cannot for the life of me see that its correct. We know that $\mathrm{d}...
0
votes
1answer
98 views

Inmersion of homogeneous straight cone into a liquid

I have a problem with an exercise that I require help: Find the immersion of a homogeneous straight cone of height h and specific weight $\gamma_1$ in a liquid with specific weight $\gamma$. The ...
0
votes
2answers
8k views

Hole in a water bottle

I understand that when you make a hole on a bottle filled with water and put the cap on tight the water will not flow out due to the atmospheric pressure acting on the hole. My confusion is that, lets ...
-1
votes
6answers
310 views

How to measure the volume of a fish pond? [closed]

Suppose that the shape of a fish pond is irregular, so we can't use any simple math formula, e.g. width $\times$ length $\times$ depth, to find its volume. I'm wondering if, there's a good way of ...