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Graduate Power series and Laplace transform
As it can be read here, http://en.wikipedia.org/wiki/Laplace_transform#Relation_to_power_series the Laplace transform is a continuous analog of a power series in which the discrete parameter n is replaced by the continuous parameter t, and x is replaced by exp(-s). Therefore, computing a...- ricard.py
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- Laplace Laplace transform Power Power series Series Transform
- Replies: 2
- Forum: Differential Equations
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Volume of a helium baloon inside a fridge
I imagine that it can be explained by the fact that the balloon "walls" are flexible and then equilibrate both pressures. Therefore, when the balloon is inside and outside the fridge, it actually has the same pressure, which is the atmosphere pressure. Is this right?- ricard.py
- Post #2
- Forum: Introductory Physics Homework Help
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Volume of a helium baloon inside a fridge
If a helium-filled balloon initially at room temperature is placed in a freezer, will its volume increase, decrease, or remain the same? The Attempt at a Solution If you decrease the T of a vessel filled with gas, its molecules will have less kinetic energy, and the pressure inside the...- ricard.py
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- fridge Helium Volume
- Replies: 4
- Forum: Introductory Physics Homework Help
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Time average in a continuum probability distribution
OK I think I am understanding it better, thanks! I have on more question. The surface calculated with an integral is usually not a rectangle such that area = length*height. However, I suppose that what you can do is "rearrange" the surface keeping the area constant and making it look like a...- ricard.py
- Post #6
- Forum: Calculus and Beyond Homework Help
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Time average in a continuum probability distribution
Homework Statement I have a question that looks so stupid that I have never dared to ask. If I want to measure the time average from t=0s to t=1s of a given f(t), the solution is compute the following integral: TA = 1/T*∫F(t)dt However, I have some doubts about this calculus.Homework...- ricard.py
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- Average Continuum Distribution Probability Probability distribution Time
- Replies: 6
- Forum: Calculus and Beyond Homework Help
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Enthelpy of vaporization of hexane
So how would you do to get a more accurate result? One option is to get a (T,p) point closer to the desired 69ºC and 1bar, but if this is not available...?- ricard.py
- Post #3
- Forum: Introductory Physics Homework Help
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Enthelpy of vaporization of hexane
Homework Statement The normal boiling point of hexane is 69.0°C. Estimate (a) its enthalpy of vaporization The Attempt at a Solution In order to solve for ΔHvap in the Clausius-Clapeyron equation I need a reference T and p point. I extracted it from the triple point (T=178K and p=1,23Pa)...- ricard.py
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- Vaporization
- Replies: 2
- Forum: Introductory Physics Homework Help
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Graduate Why is the enthelpy of a phase transition different from 0?
Hello, Wikipedia states: Phase changes, such as melting or evaporation, are also isothermal processes. I am interested in calculating the enthalpy of a given phase transition. If the process is isothermal, I would immediately say that H is 0, according to the following equation: dH=CpdT...- ricard.py
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- Phase Phase transition Transition
- Replies: 2
- Forum: Thermodynamics
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Graduate Entropy and Enthelpy for adiabatic process
1) What is the reason why dH!=0 for an adiabatic(q=0) reversible process? The mathematical argument is irrefutable and it is clear that it has to do with the process not being isobaric: ΔH=ΔU+PΔV+VΔP , ΔU=work=−PΔV Therefore, ΔH=VΔP and this is not 0. However, I do not understand it...- ricard.py
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- Adiabatic Adiabatic process Entropy Process
- Replies: 2
- Forum: Thermodynamics
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Undergrad Work definition in thermodynamics
Ok thanks! Concerning the third equation I forgot to say that it is in a context of a diabatic expansion (q=0). Therefore, ΔU=CvΔT=W. Then in a diabatic expansion, we can have work only dependent on the T and not on the V. How does this not contradict the "classical" definition of W=pΔV?- ricard.py
- Post #3
- Forum: Thermodynamics
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Undergrad Work definition in thermodynamics
Hello, I have been self-learning Thermodynamics and I am having a bit of trouble with calculating the work in different circumstances. Along the lectures we have come up with three different equations for work 1) W = pΔV 2) W = nRTln(V2/V1) 3) W = CvΔT So my questions are: 1) which...- ricard.py
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- Definition Thermodynamics Work
- Replies: 4
- Forum: Thermodynamics