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0 votes
1 answer
48 views

Why the interaction between system and thermal bath does not affect the energy levels of the system?

When we write down the full Hamiltonian of a system in contact with a thermal bath, it is as follows: $$H_{\text{total}} = H_{\text{system}} + H_{\text{system+bath}} + H_{\text{bath}}.$$ As our focus ...
1 vote
4 answers
1k views

How work is done by rapid expansion or compression at adiabatic process?

In adiabatic processes, when a gas is compressed rapidly, the internal energy of the gas increases and work is done on the gas. Similarly in expansion the internal energy decreases and work is done by ...
22 votes
3 answers
3k views

Why exactly do we say $L = L(q, \dot{q})$ and $H = H(q, p)$?

In classical mechanics, we perform a Legendre transform to switch from $L(q, \dot{q})$ to $H(q, p)$. This has always been confusing to me, because we can always write $L$ in terms of $q$ and $p$ by ...
0 votes
2 answers
35 views

"Can Statements About Heat Transfer, Work, and Internal Energy Coexist in Thermodynamics?"

How can both the statements "For a closed system undergoing a cycle, net heat transfer is equal to net work transfer" and "According to the first law of thermodynamics, net heat less ...
0 votes
1 answer
27 views

The correct formulation of temperature resistivity in Drude model

In this link the document uses $F = ma = qE$ to get drift velocity(Eq.9.6,page10), and then to resistivity(Eq.9.8,page10). But the document also said velocity due to temperature is magnitudes larger ...
2 votes
2 answers
923 views

Calculating coefficient of performance (COP) for Heat Pump

Here I am considering the following cycle; I know that the coefficient of performance for a heat pump can be calculated by; $$COP=\frac{Q_h}{W}$$ Where $Q_h$ is the heat exhausted into the hot ...
2 votes
0 answers
79 views

What is the connection between energy in classical mechanics and thermodynamics

In classical mechanics the concept of energy is very simple. If I have a bunch of particles $r_1$...$r_n$. Then the total energy is: $$E=\frac{1}{2}m(\dot r_1^2+...\dot r_n^2)+U(r_1...r_n)$$ Now in ...
2 votes
1 answer
1k views

Calculation of work done in different processes of thermodynamics in Physics and Chemistry

I am a high school student and I am very confused in thermodynamics, My confusion is that :In physics, when we study thermodynamics, we say that we cannot find the work done in irreversible processes ...
1 vote
1 answer
25 views

Are the magnitudes of the forces in activity in the two sides of a piston always the same?

This question has come to my mind when I was learning about pressure-volume work. I was told that the pressures applied on both sides of a massless piston is always the same. So, since F = P/A, I have ...
0 votes
2 answers
72 views

Solving thermodynamics with classical mechanics

I realized that enthalpy is defined as the total "energy content" of the system. Given that in Hamiltonian mechanics we also deal with the total energy H = T + V, can we somehow use ...
1 vote
1 answer
33 views

How can I relate the temperature distribution in a solid with the mechanical stress due to thermal expansion? [closed]

How can I relate the Temperature distribution in a solid of simple geometry, like a cylinder, to the mechanical stress due to thermal expansion? I understand that using the linear expansion ...
-1 votes
1 answer
45 views

What are the relations between different classical states of matter? [closed]

This may not a good quesiton I guess, but it is very confusing while I was studying the classical states of matter :- SOLIDS, ...
1 vote
1 answer
53 views

Drawing a parallel between thermodynamic potentials and (mechanical) potential energy

Can we make an analogy, in the narrow sense, between potential (gravitational) energy and a thermodynamic potential (eg: free energy or Gibbs potential)? Specifically, if an object of mass $m$ is at ...
0 votes
3 answers
100 views

What does the Work done by the system In First law of thermodynamics actually mean?

Does the work done in dQ=dU+dW include just the external work done by the system (on the atmosphere given by pdV), OR does it also include internal work done in a system--be it conservative or non-...
1 vote
2 answers
47 views

Modeling of an ideal gas from a Classical Mechanics perspective

Say we have a box with a (large enough) side $L$ in which there is are $N$ indistinguishable particles, each having a speed $\vec{v}_i$. Let us also say these particles don't interact with eachother ...

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