one of an ideal gas is expanded isothermally at 298 K unit its volume is tripled. Find the values of
`DelatS_("gas")` and `DeltaS_("total")` under the following conditions.
(i) Expansion is carried out reversiby .
(ii) Expansion is carried out irreversibly where 836.8J of heat is less absorbed than in (i)
(iii) Expansion is free.

Answer

(i) `DeltaS_(" gas") = - DeltaS_("surr") and DeltaS_("tota")= 0`; (ii) `DeltaS_("total") = 2.808 J K^(-1)` (iii) `DeltaS_("total")= DeltaS_("sys")= 9.1345 JK^(-1)`

Explanation

(i) `DeltaS_(surr)=0" "DeltaS_(gas)=0`
`DeltaS_("total")= 0`
(ii) `DeltaS_(surr)= (-q_(sys))/(T)`
`q_(irr) = q_(rev)- 836.8`
`DeltaS_(surr)= -[(q_(rev)-836.8)/(298)]`
`DeltaS_("total")= 2.808 J//K`