Why Does Work Equal ∫ p dv in an Isothermal Process?

Thread starter intenzxboi
Start date Aug 11, 2009
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Isothermal Process Work

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In an isothermal process, the work done is correctly expressed as w = ∫ p dv, which accounts for the pressure and volume changes. The confusion arises from the misunderstanding that w could equal pv dv; however, this is not accurate for infinitesimal changes. The integral form captures the total work over the volume change, while the initial equation only applies to small, instantaneous changes. Thus, the correct interpretation of work in this context is through the integral of pressure with respect to volume. Understanding these distinctions is crucial for accurately applying thermodynamic principles.

Aug 11, 2009

intenzxboi

i was told that w= p dv

but how come w= pv dv in a isothermal process??

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Aug 11, 2009

Dadface

You were told wrong the first equation being correct for an infinitessimal change.

Aug 11, 2009

Redbelly98

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intenzxboi said:

i was told that w= p dv

but how come w= pv dv in a isothermal process??

Actually, w = ∫ p dv

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