Recent content by burian

What was your motivation for the substitutions you've made? To a beginner (me), it looks like an arbitary thing to do..

This was a much harder exercise than I thought, I'll go over it carefully

Had been busy with some college entry related stuff but more or less done now. Reading the article, I realize that we don't really need the step of 'process devisation' here since we have entropy as a state function. We plugged in the variables already. Now, we just need to prove it's positive...

I had gone through the article a long time back. I'll go through it again by around tomorrow. Some real life eventsare keeping me busy.

Summary:: Proving that entropy change in mixing of gas is positive definite > >An ideal gas is separated by a piston in such a way that the entropy of one prat is## S_1## and that of the other part is ##S_2##. Given that ##S_1>S_2##, if the piston is removed then the total entropy of the...

bump

Not sure why inline latex is not working..

> The set up: At left end, the rope is pulled down with a distance $dx_1$ by a force of constant magnitude $F$, the mass of $M$ is wrapping around by rope on the right and moves up by a distance $dx_2$ due to this. Problem: Find relate the two displacements. I thought of applying energy...

In this case, why didn't you include the viscous foces in the energy balance in the post where you introduced the Newton's second law and integrate it to get the energy balance

I am thrown of by the tensor notation xD. I'll learn it and reattend your reply some day.

It is very beautiful how for understanding working, we only have to see what happens at the boundary, whatever is inside is irrelevant.

I can't believe the last equality, then what about the energy which goes into accelerating the piston?

Wow how on Earth did you get such a depth understanding of thermodynamics? It looks to me as you take time to infinity, the velocity term dies off.. so even if it is immediately not that the work done on environment by gas = work done on gas by environment, it is true in infinite time in both...

How did you conclude that speed of pressure transmission is same as speed of gas?

The second way it is not fully clear to me, could you rephrase it?