9.47 Isothermal Irreversible Free Expansion

[Cam Bear 2F]

When solving part b asking about the isothermal irreversible free expansion of an ideal gas, if the expansion is irreversible and w=0, how do we calculate the entropy change of the system? The solutions manual says it is equal to 3.84J/K (the entropy change in the isothermal reversible expansion). Can anyone explain why? Thanks!

[Clara Hu 1G]

You would use

[Tatiana Hage 2E]

It would be the same as ΔS_sys of part a, the isothermal and reversible process. ΔS_surr = 0 for free expansion so ΔS_tot = ΔS_sys.

[Janine Chan 2K]

Since entropy is a state function, the pathway taken from final to initial doesn't matter. ∆S_sys for irreversible and reversible should be the same.