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Thermo - PV work and mechanical work

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Hello,

I`m a bit confused about PV work. Here is the situation I am facing.

δw = P dV and dw = F dx

δw is an inexact differential, because it's path dependent. I read some articles that equal δw with dw.

saying that

P dV = F dx

For what path is that True? In other words, When δw=dw?

Thanks in advance!

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