One kilogram water at `0^(@)C` is brought into contact with a heat reservoir at `100^(@)C`. Find

Answer

(a). `312cal" "K^(-1),`
(b). `-268cal" "K^(-1)`
(c) ` 43.9cal" "K^(-1)`
(d) spontaneous

Explanation

(a) `DeltaS=2.303nC_(P)log" "((T_(2))/(T_(1)))`
`=2.303xx(1000)/(18)xx18" log "((373)/(273))=312cal" "K^(-1)`
(b) `DeltaS_("reservoir")=-(DeltaQ)/(T)`
`DeltaQ=msDeltat=1000xx1xx1000=10^(5)cal`
`DeltaS=(-10^(5))/(373)=-268.1cal" "K^(-1)`
(c) `DeltaS_("universe")=312-268.1=43.9cal" "K^(-1)`
(d) `DeltaS gt 0`, the process will be spontaneous.