Isothermal Process for an Ideal Gas

Ideal Gas EOS

The ideal gas equation of state.
The ideal gas equation of state for pressure, P.

Boundary work

for an

isothermal process

on an

ideal gas

Boundary work is the integral of P, obtained from the previous equation for ideal gases, from state 1 to state 2.
Integration yields this equation for the boundary work as an ideal gas changes from V1 to V2.
Dividing the previous equation by n yields the molar boundary work.
The ratio of V1 to V2 is the same as the ratio of the molar volumes.
Pulling the constants, n, R and T, out of the integral leaves us with a simple integral: dV over V.
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Ch 4, Lesson A, Page 18 - Isothermal Process for an Ideal Gas