Questions tagged [volume]

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223 questions
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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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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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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 ...
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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 ...
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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 ...
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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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Density function in phase space

What does density function in phase space physically mean? How does it indicate, the more familiar density that we are accustomed to ( an analogy may be), in phase space?
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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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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 ...
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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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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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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 ...
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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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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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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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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 ...
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How do scientists measure vapor pressure?

Experiment: We have a cylinder with a piston that is essentially weightless, frictionless, and exposed to atmospheric pressure. The cylinder has a volume of 2V, but half of it is filled with water and ...
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Is there a global minimum on theoretical information storage?

By "theoretical information storage" I mean future forms of information storage that can be stored, for example, atomically. I assume that atomic-level information storage is as small as information ...
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Why are temperature and specific volume independent properties?

The state postulate says that the state of a simple compressible system is completely specified by two independent, intensive properties. Two properties are independent if one property can be varied ...
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Stresses and strain : change of volume

I was reading about stresses and strains and I came across the concept of volumetric strain and am now having a slight conceptual difficulty. I used to believe that despite changes in linear and ...
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How much water is transported as a shallow water wave travels into a sea cave?

How much water is transported (volume) as a wave travels into a sea cave? The wave has a height of 1m and a period of 12 seconds. The average water depth at the cave mouth it 5M and the width is 15m....
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Volume of hypothetical closed universe

Consider a physical universe with a beginning in time and space, with a finite amount of mass without the complications of dark energy that we have in the presently open curvature universe, so that ...
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Can a drop of liquid splash as high as its origin?

Through the conservation of energy, a rubber ball will never bounce as high as there from which it is dropped. But are liquids subject to the same force? In particular, if I a pour liquid on the ...
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Volume Displacement Submergence Question (Read for details)

If a person's entire body is submerged in water, and they get an erection, will the water level ultimately be higher than before or not change at all?
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What happens to temperature as volume increases (charles law)

Let us take Boyles law to start. Assumptions: Gas is perfect. In a massless piston that can be expanded with no friction Adiabatic If we were to decrease the volume of the piston, the pressure ...