`1.0 mol` of an ideal gas initially present in a `2.0L` insulated cylinder at `300K` is allowed to expand against vacuum to `8.0L`. Determine `w, DeltaU, Delta_("total")S`, and `DeltaG`.

`1.0 mol` of an ideal gas initially present in a `2.0L` insulated cyli

1.	`1.0 mol` of an ideal gas initially present in a `2.0L` insulated cylinder at `300K` is allowed to expand against vacuum to `8.0L`. Determine `w, DeltaU, Delta_("total")S`, and `DeltaG`.
Answer» `w =- P_(ext)DeltaV = 0, q =0`(insulated cylinder) `rArr DeltaU = 0 = DeltaH` `rArr T_(f) = 300K` `Delta_(sys)S = nR"In"(V_(2))/(V_(1)) = 2RIn 2 = 11.52 J K^(-1)` and `Delta_(surr)S = 0 :. Q_(sys) = q_(surr) = 0` `rArr Delta_("total")S = 11.52JK^(-1)` `rArr DeltaG =- TDelta_("total")S =- 300 xx 11.52 =- 3456J`

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`1.0 mol` of an ideal gas initially present in a `2.0L` insulated cylinder at `300K` is allowed to expand against vacuum to `8.0L`. Determine `w, DeltaU, Delta_("total")S`, and `DeltaG`.

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