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Entropy in irreversible adiabtic process

We know that, $$dS=\dfrac{\delta Q_{rev}}{T}$$ If you have an irreversible adiabatic process between two thermodynamic equilibrium end states of a system, there exists no possible reversible adiabatic ...
Shivansh Jain's user avatar
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0 answers
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Given state $P$, does the set of all forward adiabatic processes and reversed adiabatic processes reach all states in the state space?

Let $A$ be a thermodynamic system and let $\Sigma$ be its state space. By the state postulate, if $A$ has $n$ two-way work channels (i.e. ways in which work can be done both positively and negatively ...
Maximal Ideal's user avatar
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3 answers
218 views

Why can't entropy decrease for an adiabatic and closed system?

In equations (10) and (11) of this article by Curzon on the adiabatic piston, Curzon uses that a system which is thermally insulated cannot have its entropy decrease (irrespective of anything else ...
EE18's user avatar
  • 1,095
-4 votes
4 answers
171 views

Derive $ΔS = Nk\ln(V/V_0)$ using fundamental equations of thermodynamics [closed]

I am considering a system with an ideal gas undergoing an adiabatic expansion. The initial volume is $V_0$ and final is $V$. From this, How do I derive $\Delta S = Nk\ln(V/V_0)$ using fundamental ...
gemini's user avatar
  • 33
1 vote
4 answers
1k views

Why can't a heat engine have 100% efficiency?

Using the idea of isotherms and adiabats, I came up with the following argument to convince myself. First imagine the working gas within the system being heated along an isochore (hence all heat ...
Y G's user avatar
  • 75
1 vote
1 answer
136 views

What is the entropy of the system, surroundings, and universe of a reversible adiabatic process?

I had a homework question that confused me a little bit. We were told to find the change in entropy of the system and the universe of a process. This process is an adiabatic, reversible process. From ...
L Shah's user avatar
  • 13
1 vote
2 answers
177 views

Understanding page 141 of Blundell’s Concepts in thermal physics

On this page (in the second edition), there is a figure containing two states A and B of a system: There are two paths between A and B: one is an irreversible change, and the other is a reversible ...
Riemann's user avatar
  • 1,440
6 votes
5 answers
1k views

Why isn't the free expansion of a gas in an adiabatic container isentropic?

If you expand a gas adiabatically using a piston, the process is isentropic. However, if you simply remove the piston and let the gas expand freely, the process is now not isentropic. What makes these ...
agaminon's user avatar
  • 1,775
3 votes
1 answer
308 views

Proof of Caratheodory's theorem

Caratheodory's formulation of second law of thermodynamics, also referred to as Caratheodory's principle states In any neighbourhood of any thermodynamic state $P$ there exist states which are ...
HeisenbergImage's user avatar
1 vote
0 answers
29 views

Is an isentropic process always adiabatic? [duplicate]

I am making an exercise about a pulsating jet engine. There is a part in the cycle of this engine that is an isentropic expansion and i'm wondering if I can use $PV^{g} = cte $ in this process
Mich Vaughan's user avatar
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3 answers
150 views

Entropy change during adiabatic expansion of ideal gas

I was told that the entropy change is $0$ during adiabatic expansion. However, according to $\mathrm dS=\frac{C}{T}\,\mathrm dT$, $\delta S$ is not zero because temperature is not constant during ...
Irene's user avatar
  • 353
1 vote
1 answer
122 views

Finding equation of internal energy in adiabatic process

I am doing a review of thermodynamic and I encounter the following question, Show that if a single-component system is such that $PV^k$ is constant in an adiabatic process (k is a positive constant) ...
oscarmetal break's user avatar
0 votes
1 answer
29 views

What is the type of system, if I have an opened container with hot water inside, but no heat input to the system?

I have a school project, where I am trying to generate electricity using TEG modules that are attached to an aluminium container that contains hot water. The container is opened and there is no heat ...
Youssef Gamal's user avatar
1 vote
1 answer
149 views

Derivation of astrophysical entropy

The definition of entropy in astrophysics is often actually just the adiabatic constant $K$ relating $P=K\rho^\gamma$ where $\gamma$ is the usual adiabatic index, $P$ is the pressure and $\rho$ is the ...
quantumflash's user avatar
1 vote
0 answers
57 views

Uniqueness of Irreversible and adiabatic processes in finite time

Let the external intensive and extensive "mechanical" variables be denoted by $Y_k, X_k$. These variables are well defined irrespective of the system is in equilibrium or not. For an ...
hyportnex's user avatar
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