Questions tagged [volume]
The volume tag has no usage guidance.
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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 ...
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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
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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 ...
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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, \...
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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
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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
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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
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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
$$A=4\pi r^2=\frac {16 \pi G^2M^2} {c^4}$$ ...
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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
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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 ...
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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?
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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{\...
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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 ...
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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
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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.
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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 $TV^{{\gamma}-1}=\rm constant$. ...
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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?
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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?
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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
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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?
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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?
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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 ...
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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
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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
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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
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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.
...
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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 ...
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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
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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 ...
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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
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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 ...
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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
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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 ...
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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 \...
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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 ...
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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 ...
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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 ...
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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?
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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?
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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 ...
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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 ...
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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
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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 ...
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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 ...
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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 ...
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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}...
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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 ...
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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 ...
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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 ...
