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

Options

A. The change in entropy wen temperature recahes to `100^(@)C`.
B. What is the change in entropy of reservoir?
C. Change in the entropy of universe.
D. The nature of process.

Explanation

a. `DeltaS = 2.303 nC_(P) log_(10) ((T_(2))/(T_(1)))`
`= 2.303xx (1000)/(18) xx 108 log_(10) ((373)/(273)) = 312 cal K^(-1)`
b. `DeltaS_("reservoir") =- (DeltaQ)/(T)`
`DeltaQ = ms Deltat = 1000 xx 1xx100 = 10^(5) cal`
`DeltaS = (-10^(5))/(373) =- 268.1 cal K^(-1)`
c. `Delta_(univ)S = 312 - 268.1 = 43.9 cal K^(-1)`
d. `DeltaS gt0`, the process will be spontaneous.