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0 votes
2 answers
78 views

Is this set up a reversible process and is the adiabatic equation of state applicable here?

I had this question in a recent test: My teacher while discussing this question used the adiabatic equation of state PV^gamma=constant to solve for length L (options C and D). And used work energy ...
utkarsh's user avatar
  • 105
0 votes
1 answer
115 views

Deduction of the entropy balance equation with input and output of matter by convection (mass flow)

In many books of Engineering thermodynamics, the entropy balance equation is wrritten as $\frac{dS}{dt}=\Pi_S+I_S$ $I_S=\sum_{j=1}\frac{\dot{Q}_{j}}{T_j}+\sum_{i=1}\dot{m}_is_i-\sum_{e=1}\dot{m}_es_e$ ...
Nebula's user avatar
  • 3
0 votes
1 answer
87 views

Momentum-derivative of energy when mass is not constant

We know by multivariable calculus, that a scalar multivariable function such the energy function $E=E(\vec{P},\vec{L},X_{0},X_{1},...,X_{n})$, using the chain rule, can be expanded as follows: $\frac{...
Nebula's user avatar
  • 3
0 votes
1 answer
216 views

In terms of heat, temperature and the first law of thermodynamics: Is defrosting an energy saver

If I were to defrost my freezer would I save energy? From what I have read I would expect the answer to this question to be no, however it would be great to hear if Im wrong. I say it wouldn't save ...
kal's user avatar
  • 57
0 votes
1 answer
397 views

PV-diagram: If part of diagram is isotherm is there no work?

Ive filled out this pv-diagram table. Ive done one similar to this diagram , however the other segment c->a was a straight line. In this example its curved. Im wondering if segment c->a is an ...
kal's user avatar
  • 57
3 votes
0 answers
276 views

Lagrangian formulation of a themodynamics problem

I was wondering whether it is possible to derive the model of a thermodynamical system by combining thermodynamic equations and Lagrangian mechanics. Let's consider the following closed system. A ...
user3555654's user avatar
9 votes
2 answers
2k views

Free energy of coupled classical harmonic oscillators

I'm looking to find the thermodynamic (NVT) free energy of a classical coupled harmonic oscillator system such as the one below: (image taken from http://openmetric.org/StatisticalPhysics/equilibrium/...
alexvas's user avatar
  • 949
0 votes
1 answer
258 views

Ideal gas in ensemble

I want to calculate the phase space density for a single ideal gas particle in a microcanonical ensemble. I know that the partition function is given by the well-known expression that you find for ...
Pritam Bemis's user avatar
6 votes
2 answers
6k views

Confused with stress, strain and linear thermal expansion

Four rods A, B, C, D of same length and material but of different radii r, 2r , 3r and 4r respectively are held between two rigid walls. The temperature of all rods is increased by same amount. ...
claws's user avatar
  • 7,335
0 votes
1 answer
3k views

What happens to temperature when pressure is constant in a cylindrical piston of saturated liquid ammonia?

Let's say I have a cylindrical piston containing saturated liquid ammonia that is fitted with an electrical heater and a paddle wheel for stirring at an initial pressure and an initial temperature. ...
Greg Harrington's user avatar
18 votes
1 answer
3k views

Mechanics + Thermodynamics: Bouncing Ball

In preparation for an exam, I'm revisiting old exam questions. This one seems neat, but also quite complicated: A soccer ball with Radius $R=11cm$ is inflated at a pressure of $P =9 \times 10^4 Pa$,...
Lagerbaer's user avatar
  • 14.9k