Ice at –5°C is heated to become vapor with temperature of 110°C at atmospheric pressure. The entropy change associated with this process can be obtained from :

${\int }_{268\mathrm{K}}^{383\mathrm{K}} {\mathrm{C}}_{\mathrm{p}}\mathrm{dT}+\frac{{\mathrm{\Delta H}}_{\text{melting }}}{273}+\frac{{\mathrm{\Delta H}}_{\text{boiling }}}{373}$

${\int }_{268\mathrm{K}}^{383\mathrm{K}} {\mathrm{C}}_{\mathrm{p}}\mathrm{dT}+\frac{{\mathrm{q}}_{\mathrm{rev}}}{\mathrm{T}}$

${\int }_{268\mathrm{K}}^{273\mathrm{K}} \frac{{\mathrm{C}}_{\mathrm{p},\mathrm{m}}}{\mathrm{T}}\mathrm{dT}+\frac{{\mathrm{\Delta H}}_{\mathrm{m}},\text{ fusion }}{{\mathrm{T}}_{\mathrm{f}}}+\frac{{\mathrm{\Delta H}}_{\mathrm{m},\text{ vaporisation }}}{{\mathrm{T}}_{\mathrm{b}}}+{\int }_{273\mathrm{K}}^{373\mathrm{K}} \frac{{\mathrm{C}}_{\mathrm{p},\mathrm{m}}\mathrm{dT}}{\mathrm{T}}+{\int }_{373\mathrm{K}}^{383\mathrm{K}} \frac{{\mathrm{C}}_{\mathrm{p},\mathrm{m}}\mathrm{dT}}{\mathrm{T}}$

${\int }_{268\mathrm{K}}^{273\mathrm{K}} {\mathrm{C}}_{\mathrm{p},\mathrm{m}}\mathrm{dT}+\frac{{\mathrm{\Delta H}}_{\mathrm{m}},\text{ fusion }}{{\mathrm{T}}_{\mathrm{f}}}+\frac{{\mathrm{\Delta H}}_{\mathrm{m},\text{ vaporistion }}}{{\mathrm{T}}_{\mathrm{b}}}+{\int }_{273\mathrm{K}}^{373\mathrm{K}} {\mathrm{C}}_{\mathrm{p},\mathrm{m}}\mathrm{dT}+{\int }_{373\mathrm{K}}^{383\mathrm{K}} {\mathrm{C}}_{\mathrm{p},\mathrm{m}}\mathrm{dT}$