Chemistry - Thermodynamics - I Question with Solution | TestHub

$\begin{array}{rl}& \underset{-5^{\circ }\mathrm{C}}{{\mathrm{H}}_2\mathrm{O}(\mathrm{s})}\to \underset{0^{\circ }\mathrm{C}}{{\mathrm{H}}_2\mathrm{O}(\mathrm{s})};\Delta {\mathrm{S}}_1={\int }_{268\mathrm{K}}^{273\mathrm{K}}\frac{{\mathrm{C}}_{\mathrm{p}},\mathrm{m}\mathrm{dT}}{\mathrm{T}}\\ & \underset{0^{\circ }\mathrm{C}}{{\mathrm{H}}_2\mathrm{O}(\mathrm{s})}\rightleftharpoons \underset{0^{\circ }\mathrm{C}}{{\mathrm{H}}_2\mathrm{O}(\mathrm{l})};\Delta {\mathrm{S}}_2=\frac{\Delta {\mathrm{H}}_{\mathrm{m}}\text{, fus }}{273}\\ & \underset{0^{\circ }\mathrm{C}}{{\mathrm{H}}_2\mathrm{O}(\mathrm{I})}\to \underset{100^{\circ }\mathrm{C}}{{\mathrm{H}}_2\mathrm{O}(\mathrm{I})};\Delta {\mathrm{S}}_3={\int }_{273}^{373}\frac{{\mathrm{C}}_{\mathrm{p}},\mathrm{m}\mathrm{dt}}{\mathrm{T}}\\ & \underset{100^{\circ }\mathrm{C}}{{\mathrm{H}}_2\mathrm{O}(\mathrm{l})}\rightleftharpoons \underset{100^{\circ }\mathrm{C}}{{\mathrm{H}}_2\mathrm{O}(\mathrm{g})};\Delta {\mathrm{S}}_4=\frac{\Delta {\mathrm{H}}_{\mathrm{m}}\text{, vap }}{373}\\ & \underset{100^{\circ }\mathrm{C}}{{\mathrm{H}}_2\mathrm{O}(\mathrm{g})}\to \underset{110^{\circ }\mathrm{C}}{{\mathrm{H}}_2\mathrm{O}(\mathrm{g})};\Delta {\mathrm{S}}_5={\int }_{373}^{383}\frac{{\mathrm{C}}_{\mathrm{p},\mathrm{m}}\mathrm{dT}}{\mathrm{T}}\\ & \Delta {\mathrm{S}}_{\text{total }}=\Delta {\mathrm{S}}_1+\Delta {\mathrm{S}}_2+\Delta {\mathrm{S}}_3+\Delta {\mathrm{S}}_4+\Delta {\mathrm{S}}_5\end{array}$