Alternatively, we can specify the external parameters and the mean pressure, which fixes the mean energy. Hot Network Questions. Instead, it is merely an infinitesimal quantity characteristic of the process of going from state to state. Of course, not every infinitesimal quantity is an exact differential. Unicorn Meta Zoo 7: Interview with Nicolas. Congratulations to our 29 oldest beta sites - They're now no longer beta! Physics Stack Exchange is a question and answer site for active researchers, academics and students of physics. Here's an alternative way to look at it.

Work depends on the path between final and initial states, so by stating W=W(P,V ) you are ignoring that path dependence.

## thermodynamics Why $dW=pdV$ is an inexact differential Physics Stack Exchange

Work isn't an exact. An inexact differential or imperfect differential is a specific type of differential used in thermodynamics to express the path dependence of a particular differential.

EXAMPLE ' Show that dw = -PdV is an inexact differential for 1 mol of an ideal gas undergoing a reversible process. Solution: Let the work w be a function of.

So p is not an independent variables, unless you change your coordinates.

I think i ran too far though, i guess it is better i stopped discussing it here. Hot Network Questions.

This, in turn, fixes other parameters such as the mean pressure. If the external parameters of the system are kept fixed, so that no work is done, thenEq.

Video: Pdv inexact differential Lecture5- Exact vs. Inexact differentials and Work

– In multivariate calculus, a differential is said to be exact (or perfect), as contrasted with an inexact. Exact and inexact differentials.

In our investigation of heat and work we have come across various infinitesimal objects such as $d \bar{E}$ and $\. Exact & inexact differentials in thermodynamics.

So far we have been discussing total or “exact” differentials du =. ∂u. ∂x.) dW = pdV = RdT −. RT p dp.

Video: Pdv inexact differential inexact

(5).

Physics Stack Exchange is a question and answer site for active researchers, academics and students of physics. Chet Miller Chet Miller Featured on Meta. If you could think of more than just one single path where the integral differs, then dW could not be an exact differential. Thus, it follows from the first law of thermodynamics, Eq.

## Exact and inexact differentials

Asked 3 months ago. It follows that

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This is given by The existence of isobaric and isochoric processes would suggest that this is incorrect.
Constantine Babich Constantine Babich 1. Sign up using Facebook. So is there some reason why such system shouldnt exist? In this case, the first law of thermodynamics implies that |

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