All Questions
68
questions
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Origin of ideal gas fluid dynamics equations including the adiabatic index
I was given a system of equations that supposedly describes the fluid dynamics of an ideal gas.
The equations are:
$$
\begin{align}
&\frac{\rho}{m} = \frac{p}{T} &\text{(ideal gas law)} \\\\
&...
- 241
0
votes
1
answer
73
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Why doesn't $\gamma = \frac{5}{3}$ for all adiabatic processes
For monoatomic, ideal gases, $PV^{\frac{5}{3}}$ is constant. I have been told that this does not hold for diatomic, or other non-monoatomic gases. However, I derived the relationship using only the ...
- 103
1
vote
2
answers
49
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Temperature increase in fixed volume due to gas injection
I have a vessel of fixed volume with adiabatic boundary which is initially filled with air at pressure of 1 atm and temperature of 300 K. Now, I inject air from an external source at a fixed flow rate ...
- 63
0
votes
1
answer
132
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Can we apply thermodynamics processes for real gas too? And how
Like in adiabatic process there is closed system but in reality we know there is no such thing as closed system there will be still exchange of heat so it will not work adiabatically means it is only ...
- 37
0
votes
1
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50
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Work done by adiabatic expansion derivation
I know that $W=-C_v(T_2-T_1)$ for an adiabatic expansion, and I know how to derive it. However, in this video (https://youtu.be/gaZmZjBtgAM?si=Px3v2qDG3CIdupgi&t=358) it mentions the formula $W=-\...
- 93
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0
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135
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Effect of Uniform Motion on Internal Energy of an Ideal Gas in an Isolated container [duplicate]
“The internal energy of a gas contained in a beaker is U, if the box starts moving with velocity V, then internal energy of the gas will be...”
Elaboration
So, further explaining the situation, we ...
- 1
2
votes
1
answer
134
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How to prove that $\gamma \le 2$ for *causal* relativistic polytrope fluids?
The definition of the adiabatic index of a relativistic polytrope fluid is this:
$$\tag{1}
\gamma = \frac{\rho + p}{p} \, \frac{dp}{d\rho},
$$
where $\rho$ is the energy density (not the mass density)....
- 7,592
1
vote
2
answers
152
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Adiabatic free expansion into vacuum
Consider an adiabatic vessel with a partition and a plug in the partition wall. On one side of the partition, there is gas at certain pressure and on the other side of partition there is perfect ...
- 11
3
votes
2
answers
446
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A problem involving adiabatic expansion of ideal gas
I am interested in answering the question which has nothing to do with a "homework". The question has also no aim to "check my work" because I have no doubts in my calculations and ...
- 316
0
votes
1
answer
121
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Determining the pressure after an adiabatic compression
(Please avoid explaining it with calculus)
I need to determine the pressure of air after an adiabatic compression. I have been given a low starting temperature T1 and a high final temperature T2 and ...
- 15
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1
answer
202
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In adiabatic process, is work done in compression is equal to the work done in expansion? Please suggest
Assume a reversible adiabatic process where is there no exchange of heat from cylinder to environment. I assume that the work done on the system will be equal to the work done by the system. So, the ...
1
vote
2
answers
1k
views
Why is the final temperature of irreversible adiabatic processes higher than that of reversible adiabatic processes?
Suppose an irreversible adiabatic expansion process and a reversible adiabatic expansion process are starting from the same initial state, say, P1V1. Now, let both of these processes have equal ...
- 252
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 ...
- 1,775
0
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0
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35
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Adiabatic Transformations and ideal gas relations
For an adiabatic transformation of an ideal gas I know that from equation,
$C_v=\frac{dU}{dT}$
I can rewrite it using the relations,
$dU=dQ-dW$
which can give us
$dU=-pdV$
to rewrite the first ...
- 73
1
vote
1
answer
51
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Can I solve this problem using Gay Lussac's law of pressure? [closed]
This question came in the Khulna University admission exam 13-14
Q) When a tire is pumped at temperature $27^{\circ}C$, it bursts abruptly after its pressure becomes $2atm$. What is its final ...
- 1,018